There is a long history to the debate of nationalism. The Indian nationalism has emerged after a long people’s movement the truth to which is often denied by a range of forces who have ideological leanings towards the ideology of Hindutwa. This paper is an attempt to revisit the historical context in which Indian nationalism has emerged and evaluate it in reference to the contemporary time. It emphasizes on the relation between the nation and the state with special reference to (...) its impact on the universities. Further, the paper suggests that in order to uphold the idea of university and nation, an inclusive and secular idea of nation has to be espoused. Lastly, it suggests that a university needs to foster a non sectarian approach and broaden its vision for an internationalist outlook. (shrink)

Hilary Putnam was one of the truly great philosophers of the twentieth century. In a memorial essay I published elsewhere, I wrote: Leading philosophy towards constant dynamic expeditions and holding on to an incredible style of self-critique, Hilary Putnam (1926–2016), over five decades, has been in the process of making laudable contributions to philosophy and philosophy of science by being a beacon to a series of philosophical generations. He was a profound scholar full of wisdom, morality, and love of humanity, (...) in a word a “Philosopher’s Philosopher.”1 Hilary Putnam, whom I called “Gurudev” (mentor), was a renaissance man of philosophy for his laudable and novel contribution in the fields of philosophy and philosophy of science. The impetus for bringing out this honorary volume on his fundamental contributions to philosophy and philosophy of science began after his peaceful death on March 13, 2016 in Arlington, Massachusetts. (shrink)

The book introduces the reader to western ethics as a subject, along with its three standard subdivisions. Although the book is written with university students, policymakers, and professionals in mind, the book is lucid enough to be accessible to most adult readers. The book begins with introductions to the basics of ethics. These chapters are meant to provide the reader with the background knowledge necessary for understanding the more technical chapters on metaethics, normative ethics theories, and applied ethics, the three (...) well-known subdivisions within ethics. The chapters that follow take up core ethical issues from each of these areas. The sections focus on explanation and a critical understanding of the ethical issue. The chapters also have examples, cases, and exercises to encourage critical thinking and to enable the reader to grasp the issue better. The book has tried to bring contemporary issues, such as ethics of human organ transplantation, and contemporary theories, such as Amartya Sen’s concept of Justice and Martha Nussbaum’s Capabilities Approach, to engage the readers with ethics in the real world. The book concludes with applied ethics, but with the example of ethics of artificial intelligence. The aim is to keep ethics as a future-driven activity and to emphasize the need to understand the real-world ethical situations and dilemmas that will affect the stakeholders all around the world in the coming years as artificial intelligence and data-driven technologies change our everyday life. (shrink)

This chapter critiques the notion of identity, a philosophical reaction in the Quinean sense that vindicates another significant hypothesis, which is called the “No entity without identity” theorem. Here, the identification of an entity relies upon its identity. The first segment of this chapter revisits the following question: How do we encounter the concept of a subjective “mind”? Could we “infer” or “experience” the concept of “mind” in our daily lives? Every entity has some characteristics that prompt comparison with similar (...) entities. Although I think that other minds have a subjective periphery and that other minds have an objective periphery lurking behind this (privileged access), we can construe the relationship in a subjective way (individual mind). In the second section of the chapter, I address a different point by considering why the idea of “other minds” causes philosophical dilemmas. Can “other minds” exist as a substance in one’s own mind? The category of human knowledge encompasses the reality of minds and other minds. The other minds remain an accompanying part of the individual mind since the expression, belief, and mental content of the individual mind merge in the linguistic expression in a split manner that we may ascribe as privileged access (subjective incorrigible knowledge) and corrigible knowledge. But I think that the relation between minds and other minds sounds especially idiosyncratic in its own identity. Despite becoming diverse, the individual mind can still be intimate by blending and attunement between the subjective and objective dichotomy. (shrink)

This thematic volume entitled Human Minds and Cultures deciphers different aspects of human minds and cultures that differ in their methodological patterns. It exhibits humanity as a universal, underlying cultural multiplicity coping with diverse prospects of normative morality, semiotics, and socio-linguistic human affairs. Two major concerns that the thematic volume anticipates here are as follows.

This book puts forward a harmonious analysis of similarities and differences between two concepts—human minds and cultures—and strives for a multicultural spectrum of philosophical explorations that could assist them in pondering the striking pursuit of envisaging human minds and cultures as an essential appraisal of philosophy and the social sciences. The book hinges on a theoretical understanding of the indispensable liaison between the dichotomy of minds and objectivity residing in semantic-ontological conjectures. -/- The ethnographic sense of cultures confines the scope (...) of cultural scientism, an evolutionary paradigm on the functionalist turn, where one could enthral the cultural phenomenon from the contentment of the conflict of scientific quandaries. Hence, cultural relativism concedes that cultures have some descriptive contents, like customs, beliefs, moral codes, other minds, etc., that are followed by an individual or a group of people. However, the notion of societal semiotics embarks on the ‘semiotic conception of culture’ that deploys modernity and values centred on ethical conjectures. -/- Human Minds and Cultures conspicuously attune the cultural edifice of moral minds and cope with the enduring prospects of ethics, genders, laws, and socio-political affairs. Essential reading for anyone with a sparkling interest in human minds and cultures. (shrink)

This paper argues that Zika virus infection has its ethical implications beyond the reproductive health of women. It claims that Zika virus infection like public health emergency exposes the underlying health determinants and health status of women. Therefore, ethical mitigation of Zika like public health emergencies should consider these underlying health determinants and health status of women. For, undermining and overlooking these underlying determinants and health status of women, during the public health emergencies, enhance the health inequities. The recent Zika (...) virus infection in Brazil has triggered different ethics consultation and has prompted to outline ethical recommendations. However, the recommendations have either focused on the reproductive health of women or on the core strategies of public health emergency. Considering this as a gap in perspective to prepare for Zika like public health emergencies, this paper argues that it is the underlying holistic health of women, precisely, health capability, which should be given due ethical consideration. Finally, the paper concludes highlighting the fact that focusing on the holistic health of the women during Zika like public health emergencies and beyond can bring in long-term benefits for global health equity. (shrink)

Discrete Mathematics is designed to serve as a textbook for undergraduate engineering students of computer science and postgraduate students of computer applications. The book would also prove useful to post graduate students of mathematics. It seeks to provide a thorough understanding of the subject and present its practical applications to computer science.

Darshana, in the sense of true philosophical knowledge, Darshana is first quoted in the Vaiśesika Sūtra (first century CE) to mean the perfect vision of everything. Etymologically, Darshana evolves from the Sanskr̥ti term Drś, that is, vision. The contemporary use of the term Darshana finds its new dimension in the writings of Haribhardra (eighteenth century CE), who considers different philosophical schools in the cord of Darshana in his text Ṣad-darśana-samuccaya. Later, eminent Vedāntin Mādhava in fourteenth century CE popularized and expatiated (...) the meaning of Darshana in Sarvadarśana Saṅgraha. The purport of the term Darshana is embedded in the notion of Indianness that caters to an influential uniqueness in Hinduism, Jainism (Samyak Darshana or liberation consists in right vision) and Mahayana Buddhism (Nagarjuna’s dictum tattva-darśana, i.e., the true reality, and Vasubandhu’s use of Darshana marga, i.e., the conduit of seeing). -/- The conception of the word guru in Indian cultures goes back to the Upanishadic era, especially in the Mundakopanishad, where Brahma (the creator of the world) taught the Brahma Vidya (the foundation of all knowledge or the speculative discussion about ultimate reality) to his eldest son, Atharvan. Later, Artharvan transmitted the Brahma Vidya to Angiras, who shared the absolute knowledge with Satyavaha, a successor of Sage Bharadwaja. Satyavaha narrated to Bharadwaja, who finally imparted the knowledge (both the higher and lower levels) to Angiras. One could find a significance herein using the Upanishadic term paraparam (Mundakopanishad, 1.2). The term not only indicates that the foundation of all knowledge has two different folds – para (transcendent) and apar (mundane) – but also that the term paraparam tinges on the transmission progression of the knowledge from guru (enlightened master) to his shisya (dedicated disciple). The proper way of learning Brahma Vidya depends on the gurupasadana; the only guru can condescend to expose wisdom to the devoted disciples. (shrink)

This paper explores three important interrelated themes in Putnam’s philosophy: language, meaning, and the context-sensitivity of “truth-evaluable content.” It shows how Putnam’s own version of semantic externalism is able to steer a middle course between an internalism about meaning that requires a “language of thought” (or “mentalese”) and a mind-independent realism about meaning that requires Platonic objects (or other such “abstract entities”), while doing justice to how ascriptions of meaning are causally related to the objective world. The following account is (...) able to allow for the primacy of language over thought while ensuring that the content of thought is partially fixed by the external world. The emphasis in Putnam’s later writings on the “context sensitivity” of meaning are often construed as marking a major departure from his earlier thought. It is here argued that such an interpretation involves a misunderstanding both of the commitments of Putnam’s original form of semantic externalism and of the implications of the version of context sensitivity he embraces. (shrink)

Uniformity in human actions and attitudes incumbent with the ceteris paribus clause of folk psychology lucidly transits moral thoughts into the domain of subject versus object-centric explorations. In Zettel, Wittgenstein argues, “Concepts with fixed limits would demand uniformity of behaviour, but where I am certain, someone else is uncertain. And that is the fact of nature.” (Wittgenstein 2007, 68). Reflecting on the moral principle of “ethical giving” revives a novel stance in modern moral philosophy. An “ethical giving” is a moral (...) position that looks at giving from the context of harmonizing the changing demands of situations with normative ethical principles. Despite giving more prominence to the query of intuition, the chapter brings up the justification of normative moral principles pertaining to their applications and purports. Human activities aimed at decision-making goals conducted by the moral compass are nothing but the sanction of certain ethical norms and rules. In this context, two principles, the normative aspect and the perspective aspect need to be expounded in parallel. (shrink)

The paper concentrates on an appreciation of W.V. Quine’s thought on meaning and how it escalates beyond the meaning holism and confirmation holism, thereby paving the way for a ‘meaning nihilism’ and ‘confirmation rejectionism’. My effort would be to see that how could the acceptance of radical naturalism in Quine’s theory of meaning escorts him to the indeterminacy thesis of meaning. There is an interesting shift from epistemology to language as Quine considers that a person who is aware of linguistic (...) trick can be the master of referential language. Another important question is that how could Quine’s radical translation thesis reduce into semantic indeterminacy that is a consequence of his confirmation method. I think that the notion and the analysis of meaning became hopelessly vague in Quine’s later work. I further argue on Quine’s position of meaning that I call, following Hilary Putnam, ‘meaning nihilism’. It seems to me that Quine had no belief like ‘meaning consists in’, or ‘meaning depends on’ something. Through this argument, I would like to challenge the confirmation holism that was foisted by Fodor on Quine’s thesis. My attempt would be to scrutinize Putnam’s point of view that Quine was neither a confirmation holist nor a meaning holist. I think that both Putnam and Quine denied the concept of constitutive connection of meaning as a second grade notion not only from the realm of semantic, but also from the perspective of epistemology. So, linguistic meaning cannot be formed by any sample of its uses. For Quine, the concept of meaning in metaphysics is heuristic and need not be taken seriously in any ‘science worthy’ literature. (shrink)

Cancer is fast becoming an alarming cause of human death. However, it has been reported that if the disease is detected at an early stage, diagnosed, treated appropriately, the patient has better chances of survival long life. Machine learning technique with feature-selection contributes greatly to the detecting of cancer, because an efficient feature-selection method can remove redundant features. In this paper, a Fuzzy Preference-Based Rough Set (FPRS) blended with Support Vector Machine (SVM) has been applied in order to predict cancer (...) biomarkers for biological and gene expression datasets. Biomarkers are determined by deploying three models of FPRS, namely, Fuzzy Upward Consistency (FUC), Fuzzy Downward Consistency (FLC), and Fuzzy Global Consistency (FGC). The efficiency of the three models with SVM on five datasets is exhibited, and the biomarkers that have been identified from FUC models have been reported. (shrink)

Increasing global competition has intensified the use of informal sector workforce worldwide. This phenomenon is true with regard to India, where 92% of the workers hold precarious jobs. Our study examines the dynamics of workplace dignity in the context of Indian security guards deployed as contract labour by private suppliers, recognising that security guards’ jobs were marked by easy access, low status, disrespect and precariousness. The experiences of guards serving bank ATMs were compared with those working in large reputed organisations. (...) The former reported loss of dignity though their inherent self-worth remained partially intact, whereas the latter reclaimed dignity despite the precarious working conditions and the absence of unions. Guards from large reputed organisations evolved strategies by which they took advantage of the client’s vulnerabilities, developed ‘thick’ relationships at work and immersed themselves in 'doing dignity work' to ensure that they are not disposable. ‘Doing dignity work’ was a visible device which involved actions that met or went beyond the norms laid down by the client and was used by security guards to limit the extent of their precariousness. Since the opportunity to reclaim dignity was facilitated by large reputed clients’ adherence to legal regulations, we see implications of the study for the moral economy. (shrink)

Does there exist any equivalence between the notions of inconsistency and consequence in paraconsistent logics as is present in the classical two valued logic? This is the key issue of this paper. Starting with a language where negation ( ${\neg}$ ) is the only connective, two sets of axioms for consequence and inconsistency of paraconsistent logics are presented. During this study two points have come out. The first one is that the notion of inconsistency of paraconsistent logics turns out to (...) be a formula-dependent notion and the second one is that the characterization (i.e. equivalence) appears to be pertinent to a class of paraconsistent logics which have double negation property. (shrink)

This paper contains two traditions of diagrammatic studies namely one, the Euler–Venn–Peirce diagram and the other, following tradition of Aristotle, the square of oppositions. We put together both the traditions to study representations of singular propositions, their negations and the inter relationship between the two. Along with classical negation we have incorporated negation of another kind viz. absence. We have also considered the changes that take place in the context of open universe.

Consumer complaining behavior (CCB) is an important stream of research and practice, as it links the domains of service failure and service recovery. CCB research, although extensive and temporally wide, exhibits a lack of concern for the underlying assumptions of scholarly inquiry. Researchers neither explicitly mention, nor consciously indicate their ontological, epistemological, and methodological assumptions. We systematically identify the extant CCB literature and map it to two well-accepted paradigmatic classifications (Burrell and Morgan 1979; Deetz Organization Science 7(2): 191–207, 1996). Normative (...) or functionalist paradigm with the assumptions of an objective external reality, a positivist epistemology, a determinist view of human nature, and nomothetic methodology emerges as the dominant CCB research paradigm. The implications of this dominance are discussed as a barometer of the future of CCB research and practice. (shrink)

Electronegativity is an important physico-chemical concept to study the chemical structure and reactivity. Although, the conundrum related to measurement of electronegativity still persists. In view of this fact, a simple yet rigorous scale of electronegativity, invoking an inverse relationship with atomic nucleophilicity index, has been proposed for 103 elements of the periodic table. The computed data follows periodicity distinctly satisfying all the sine qua non of a standard scale of electronegativity. Further, electronegativity values display a sound similarity with the standard (...) electronegativity scales validating the suitability of the proposed model. Molecular electronegativities of some polyatomic molecules have also been calculated using the proposed scale of electronegativity.Graphic. (shrink)

ICT for development projects often focus on integrating social factors in information systems design. A well-designed ICT4D solution must be tailored to the needs of the people who will use them and subsequently, requires an extensive understanding of the context and constraints in people’s lives. With an objective to explore how context-specific issues influence the conveyance of appropriate agricultural information to women, this paper uses PROTIC, a 5-year collaborative project between Monash University and Oxfam, as a case. PROTIC was implemented (...) in three climate vulnerable ecological zones of Bangladesh with an aim to overcome the agricultural information gap for rural women. Based on a study in mixed research method and triangulation, this paper brings evidence on the significance of considering context-specific attributes in designing effective and sustainable information services for marginalized women farmers in developing countries. The paper upfolds some significant recommendations which is expected to contribute to the domain of context-specific information system design in resolving socio-economic problems to pave the way of sustainable development. (shrink)

Two types of logical consequence are compared: one, with respect to matrix and designated elements and the other with respect to ordering in a suitable algebraic structure. Particular emphasis is laid on algebraic structures in which there is no top-element relative to the ordering. The significance of this special condition is discussed. Sequent calculi for a number of such structures are developed. As a consequence it is re-established that the notion of truth as such, not to speak of tautologies, is (...) inessential in order to define validity of an argument. (shrink)

A new characterization of all the MV-algebras embedded in a CL-algebra has been presented. A new sequent calculus for Lukasiewicz ℵ0-valued logic is introduced. Some links between this calculus and the sequent calculus for multiplicative additive linear logic are established. It has been shown that Lukasiewicz ℵ0-valued logic can be embedded in a suitable extension of MALL.

Rough Sets were introduced by Z. Pawlak in the year 1982 with the intention to address knowledge representation and data processing from the angle of computation and decision making. The main idea...

Venn diagram system has been extended by introducing names of individuals and their absence. Absence gives a kind of negation of singular propositions. We have offered here a non-classical interpretation of this negation. Soundness and completeness of the present diagram system have been established with respect to this interpretation.

The subjective delight associated with the creative arts poses a well-known challenge to an integrated causal analysis of human psychology. Here we examine the distal causes of art in terms of an irreducibly risky search in a vast phase space of cognition and behavior. To explore means to engage in an activity that may result in a zero or negative payoff. Moreover, you may be unable to assess the risks with any certainty; the costs might spiral out of control. At (...) the same time, the known alternatives may simply not be viable; natural selection has no problems acting on the failure to locate new habitable subspaces. This represents the hard problem of evolution: there is no recurring procedure that will reliably deliver the benefits of a successful exploration. We propose to locate the emergence of play and art in the tension between the irreducible risks of exploration and its potential benefits and examine the complex suite of adaptations that has emerged to solve, however, imperfectly, the hard problem of evolution. This includes adaptations for lowering the cost of exploration and strategies for open-ended yet loosely targeted searches. We argue that the ability to become aware of possible actions, to evaluate their respective merits, and to explore and develop new strategies of perception, thinking, and action have had a major impact on human survival and reproduction and have been subject to persistent natural selection. The arts, we suggest, represent a distinct cognitive mode of pushing the boundaries of what is familiar and known into new areas of perceptual, emotional, and agentive exploration and discovery, characterized by a proximal motivation of intrinsic enjoyment. (shrink)

This paper argues that a proper evaluation of the notion of efficiency in business ethics requires that we separate efficiency qua human good from the originally value-neutral sense of the term. The adverse consequences of hyper-efficiency consist in paradoxically causing greater inefficiencies (‘perversity’) as well as a negative impact on the human capacities to pursue various forms of excellence (‘jeopardy’). In contrast to its negative consequences, the precious good of efficiency can be formulated in terms of Alasdair MacIntyre’s influential practice-institution (...) framework. The paper proposes that efficiency be defined in terms of the kind of success towards which it aims; while it never quite reaches the status of an internal good, efficiency fluctuates between being an external good proper and what we call a paradoxical good, with attributes of both internal and external goods. The archetype of a paradoxical good is the good of success qua victory in the domain of sports, which shares attributes of internal goods (since it is defined as a necessary and desirable goal by the practice itself) and external goods (since victory for one implies the defeat of another, a zero-sum logic). The paper fleshes out the consequences of this paradox in MacIntyre’s framework by proposing a three-stage model of success and efficiency for various practices. (shrink)

On 27 February 1998, the Indian Institute of Management, Calcutta and the office of the Fulbright binational educational exchanges in Calcutta jointly hosted a seminar on 'The Tradition of Non Violence: The American Experience and the Gandhian' at the Management Centre for Human Values. There were two keynote presentations. The one on the American experience was by Michael True, Professor of English Literature at Assumption College, Massachusetts, who was teaching as Fulbright visiting lecturer at Utkal University, Bhubaneswar. The Gandhian case (...) was presented by Profes sor Amlan Datta, economist and writer, also former Vice-Chancellor of Visva-Bharati University, Santiniketan. The session was chaired by Professor Amitava Bose, Director, Indian Institute of Management. To close the discussions, a summing up was presented by Professor S.K. Chakraborty, Convenor, Management Centre for Human Values. The importance of discussions on the subject of non-violence and the Gandhian alterna tive cannot be overestimated in this year of the 50th anniversary of Indian independence and a nationwide soul-searching over these five decades. The US Educational Foundation in India contributed to the national discussion through this bilateral seminar and its comparative perspective. (shrink)

About this book Hilary Whitehall Putnam was one of the leading philosophers of the second half of the 20th century. As student of Rudolph Carnap's and Hans Reichenbach's, he went on to become not only a major figure in North American analytic philosophy, who made significant contributions to the philosophy of mind, language, mathematics, and physics but also to the disciplines of logic, number theory, and computer science. He passed away on March 13, 2016. The present volume is a memorial (...) to his extraordinary intellectual contributions, honoring his contributions as a philosopher, a thinker, and a public intellectual. It features essays by an international team of leading philosophers, covering all aspects of Hilary Putnam's philosophy from his work in ethics and the history of philosophy to his contributions to the philosophy of science, logic, and mathematics. Each essay is an original contribution. -/- Author information James Conant, Univ. of Chicago/Univ. of Leipzig, USA/Germany; Sanjit Chakraborty, IISER Kolkata/VIT-AP University, India. (shrink)

In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.

In this paper, we study two companions of a logic, viz., the left variable inclusion companion and the restricted rules companion, their nature and interrelations, especially in connection with paraconsistency. A sufficient condition for the two companions to coincide has also been proved. Two new logical systems—intuitionistic paraconsistent weak Kleene logic (IPWK) and paraconsistent pre-rough logic (PPRL)—are presented here as examples of logics of left variable inclusion. IPWK is the left variable inclusion companion of intuitionistic propositional logic and is also (...) the restricted rules companion of it. PPRL, on the other hand, is the left variable inclusion companion of pre-rough logic but differs from the restricted rules companion of it. We have discussed algebraic semantics for these logics in terms of Płonka sums. This amounts to introducing a contaminating truth value, intended to denote a state of indeterminacy. (shrink)

The present book discusses all aspects of paraconsistent logic, including the latest findings, and its various systems. It includes papers by leading international researchers, which address the subject in many different ways: development of abstract paraconsistent systems and new theorems about them; studies of the connections between these systems and other non-classical logics, such as non-monotonic, many-valued, relevant, paracomplete and fuzzy logics; philosophical interpretations of these constructions; and applications to other sciences, in particular quantum physics and mathematics. Reasoning with contradictions (...) is the challenge of paraconsistent logic. The book will be of interest to graduate students and researchers working in mathematical logic, computer science, philosophical logic, linguistics and physics. (shrink)

This book carries forward the discourse on the mind’s engagement with the world. It reviews the semantic and metaphysical debates around internalism and externalism, the location of content, and the indeterminacy of meaning in language. The volume analyses the writings of Jackson, Chomsky, Putnam, Quine, Bilgrami and others, to reconcile opposing theories of language and the mind. It ventures into Cartesian ontology and Fregean semantics to understand how mental content becomes world-oriented in our linguistic communication. Further, the author explores the (...) liaison between the mind and the world from the phenomenological perspective, particularly, Husserl’s linguistic turn and Heidegger’s intersubjective entreaty for Dasein. The book conceives thought as a biological and socio-linguistic product which engages with the mind-world question through the conceptual and causal apparatuses of language. A major intervention in the field of philosophy of language, this book will be useful for scholars and researchers interested in philosophy, phenomenology, epistemology, and metaphysics . (shrink)

While the causes of human-animal conflict are numerous, many are intertwined with food production systems and the wildlife trade. The emergence and spread of Covid-19 exemplify this. Indeed, the wildlife population in South Asian countries has seen an increase in the risk of both human and nonhuman death in recent months, and as the economy slows, the search for food and extra income will intensify, negatively impacting wildlife. This paper aims to address some of the ethical issues concerning our treatment (...) of nonhuman creatures and the environment in relation to the global food system and wildlife trade following the Covid-19 crisis. (shrink)

This paper presents an alternative concept of excellence in business, which builds upon the conventional notion of excellence as being in harmony with profit. Although the notion of an enduring harmony (or what we call the convergence thesis) between long-term profit and excellence is favoured by many thinkers, the premise neglects the disruptive force of the autonomous pursuit of excellence in theory and constrains it in practice. Further, autonomous excellence, a key condition of a genuine practice, is structurally weakened by (...) the fact that businesses are heavily reliant on market approval to sustain themselves, irreversibly damaging their status as genuine practices. We argue that the autonomous pursuit of excellence requires not only recognizing but also actively strengthening a contingent relationship between internal and external goods, so that internal goods such as the excellence of the product can achieve maximum autonomy from the pressures of external goods. Such a risk-oriented approach may appear antagonistic to business but finds expression in the insight of key business visionaries such as Steve Jobs and Henry Ford that major technological advancements rarely find themselves in consonance with existing market standards and thus require a courageous break from 'market excellence'. (shrink)

A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzzy topological sys...