Two algebraic structures, the contrapositionally complemented Heyting algebra (ccHa) and the contrapositionally |$\vee $| complemented Heyting algebra (c|$\vee $|cHa), are studied. The salient feature of these algebras is that there are two negations, one intuitionistic and another minimal in nature, along with a condition connecting the two operators. Properties of these algebras are discussed, examples are given and comparisons are made with relevant algebras. Intuitionistic Logic with Minimal Negation (ILM) corresponding to ccHas and its extension |${\textrm {ILM}}$|-|${\vee }$| for c|$\vee (...) $|cHas are then investigated. Besides its relations with intuitionistic and minimal logics, ILM is observed to be related to Peirce’s logic and Vakarelov’s logic MIN. With a focus on properties of the two negations, relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$| are obtained with respect to four classes of frames, and inter-translations between the classes preserving truth and validity are provided. ILM and |${\textrm {ILM}}$|-|${\vee }$| are shown to have the finite model property with respect to these classes of frames and proved to be decidable. Extracting features of the two negations in the algebras, a further investigation is made, following logical studies of negations that define the operators independently of the binary operator of implication. Using Dunn’s logical framework for the purpose, two logics |$K_{im}$| and |$K_{im-{\vee }}$| are discussed, where the language does not include implication. The |$K_{im}$|-algebras are reducts of ccHas and are different from relevant algebraic structures having two negations. The negations in the |$K_{im}$|-algebras and |$K_{im-{\vee }}$|-algebras are shown to occupy distinct positions in an enhanced form of Dunn’s kite of negations. Relational semantics for |$K_{im}$| and |$K_{im-{\vee }}$| is provided by a class of frames that are based on Dunn’s compatibility frames. It is observed that this class coincides with one of the four classes giving the relational semantics for ILM and |${\textrm {ILM}}$|-|${\vee }$|⁠. (shrink)

In A. Kumar, & M. Banerjee [(2012). Definable and rough sets in covering-based approximation spaces. In T. Li. (eds.), Rough sets and knowledge technology (pp. 488–495). Springer-Verlag], A. Kumar, & M. Banerjee [(2015). Algebras of definable and rough sets in quasi order-based approximation spaces. Fundamenta Informaticae, 141(1), 37–55], authors proposed a pair of lower and upper approximation operators based on granules generated by quasiorders. This work is an extension of algebraic results presented therein. A characterisation has (...) been presented for those quasiorder-generated covering-based approximation spaces whose corresponding collections of definable and rough sets form Stone algebras. The notion of rough lattice was proposed in A. Kumar, & M. Banerjee [(2015). Algebras of definable and rough sets in quasi order-based approximation spaces. Fundamenta Informaticae, 141(1), 37–55], A. Kumar [(2020). A Study of Algebras and Logics of Rough Sets Based on Classical and Generalized Approximation Spaces. In Transactions on Rough Sets XXII, LNCS (Vol. 12485, pp. 123–251). Springer]. Some special rough lattices are introduced in this work, viz. rough Stone algebra, ∼1-complemented and ∼2-complemented rough lattices. Representations of these algebras in terms of rough sets are obtained. Moreover, logics for these algebras are shown to be sound and complete with respect to rough set semantics. (shrink)

A structural theorem for Kleene algebras is proved, showing that an element of a Kleene algebra can be looked upon as an ordered pair of sets, and that negation with the Kleene property is describable by the set-theoretic complement. The propositional logic \ of Kleene algebras is shown to be sound and complete with respect to a 3-valued and a rough set semantics. It is also established that Kleene negation can be considered as a modal operator, due to a perp (...) semantics of \. Moreover, another representation of Kleene algebras is obtained in the class of complex algebras of compatibility frames. One concludes with the observation that \ can be imparted semantics from different perspectives. (shrink)

would suspect him of murdering them and would not spare him. So he too killed himself. Gods were very much disturbed by this sad incident and realized the ...

Background: Risks to healthcare workers have escalated during the pandemic and they are likely to experience a greater level of stress. This cross-sectional study investigated mental distress among healthcare workers during the early phase of Coronavirus disease-2019 outbreak in India.Method: 140 healthcare workers of a tertiary care hospital in India were assessed for perceived stress and insomnia. A factor analysis with principal component method reduced these questions to four components which were categorized as insomnia, stress-related anxiety, stress-related irritability, and stress-related (...) hopelessness. Further statistical analyses were done on these factor scores to identify the predictors and investigate the differences between the different categories of healthcare workers.Result: Doctors had the highest level of anxiety among the healthcare workers. Both doctors and nurses perceived a greater level of irritability than the other HCWs. Compared to doctors and nurses, other HCWs were more likely to experience insomnia. Lower age, higher education, female gender, and urban habitat were associated with greater perception of anxiety. Older age, being quarantined, and single marital status were the significant predictors of irritability. Female gender, single marital-status, and higher number of medical ailments contributed to perceived hopelessness. Quarantine significantly predicted insomnia.Conclusion: Different categories of healthcare workers are experiencing varied mental health problems owing to their heterogeneous socio-demographic backgrounds. Tailored and personalized care, as well as policies, might help in alleviating their problems. Further research is warranted to explore the psychological distress and remedies among these frontline workers during and after the ongoing pandemic crisis. (shrink)

This eighth volume of Collected Papers includes 75 papers comprising 973 pages on (theoretic and applied) neutrosophics, written between 2010-2022 by the author alone or in collaboration with the following 102 co-authors (alphabetically ordered) from 24 countries: Mohamed Abdel-Basset, Abduallah Gamal, Firoz Ahmad, Ahmad Yusuf Adhami, Ahmed B. Al-Nafee, Ali Hassan, Mumtaz Ali, Akbar Rezaei, Assia Bakali, Ayoub Bahnasse, Azeddine Elhassouny, Durga Banerjee, Romualdas Bausys, Mircea Boșcoianu, Traian Alexandru Buda, Bui Cong Cuong, Emilia Calefariu, Ahmet Çevik, Chang Su Kim, (...) Victor Christianto, Dae Wan Kim, Daud Ahmad, Arindam Dey, Partha Pratim Dey, Mamouni Dhar, H. A. Elagamy, Ahmed K. Essa, Sudipta Gayen, Bibhas C. Giri, Daniela Gîfu, Noel Batista Hernández, Hojjatollah Farahani, Huda E. Khalid, Irfan Deli, Saeid Jafari, Tèmítópé Gbóláhàn Jaíyéolá, Sripati Jha, Sudan Jha, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, M. Karthika, Kawther F. Alhasan, Giruta Kazakeviciute-Januskeviciene, Qaisar Khan, Kishore Kumar P K, Prem Kumar Singh, Ranjan Kumar, Maikel Leyva-Vázquez, Mahmoud Ismail, Tahir Mahmood, Hafsa Masood Malik, Mohammad Abobala, Mai Mohamed, Gunasekaran Manogaran, Seema Mehra, Kalyan Mondal, Mohamed Talea, Mullai Murugappan, Muhammad Akram, Muhammad Aslam Malik, Muhammad Khalid Mahmood, Nivetha Martin, Durga Nagarajan, Nguyen Van Dinh, Nguyen Xuan Thao, Lewis Nkenyereya, Jagan M. Obbineni, M. Parimala, S. K. Patro, Peide Liu, Pham Hong Phong, Surapati Pramanik, Gyanendra Prasad Joshi, Quek Shio Gai, R. Radha, A.A. Salama, S. Satham Hussain, Mehmet Șahin, Said Broumi, Ganeshsree Selvachandran, Selvaraj Ganesan, Shahbaz Ali, Shouzhen Zeng, Manjeet Singh, A. Stanis Arul Mary, Dragiša Stanujkić, Yusuf Șubaș, Rui-Pu Tan, Mirela Teodorescu, Selçuk Topal, Zenonas Turskis, Vakkas Uluçay, Norberto Valcárcel Izquierdo, V. Venkateswara Rao, Volkan Duran, Ying Li, Young Bae Jun, Wadei F. Al-Omeri, Jian-qiang Wang, Lihshing Leigh Wang, Edmundas Kazimieras Zavadskas. (shrink)

Contributed articles presented at a seminar.

Existing research posits that decision makers use specific cognitive frames to manage tensions in sustainability. However, we know less about how the cognitive frames of individuals at different levels in organization interact and what these interactions imply for managing sustainability tensions, such as in Bottom of the Pyramid projects. To address this omission, we ask do organizational and project leaders differ in their understanding of tensions in a BOP project, and if so, how? We answer this question by drawing on (...) a 5-year study of a BOP project of a global pharmaceutical company in India. In line with the existing research, we found three kinds of frames—paradoxical, business case, and business—held differently across organizational levels and over time. We also found that the shift in frames of both project and organizational leaders was mediated by the decision-making horizon. The initial divergence across organizational levels, seen in paradoxical and business frames, was mediated by long-term decision-making horizon. However, there was an eventual convergence toward business frames associated with the shift from long- to shorter-term decision-making horizons and one that led to the project’s closure. We contribute by proposing a dynamic model of cognitive frames in sustainability, where the research has either alluded to top-down or bottom-up understanding. (shrink)

The cult of the Kanphata Yogis is a definite unite within Hinduism, and its study is essential for understanding this phase of the religious life of India. the book is divided into three sections. The first two sections comprising chapters 1 - 13 deal with the cult and history of this sec. the third section containing chapters 14 - 16 opens with the Sanskrit Text Goraksastaka and its English rendering and annotations. The book is fully documented. It has a preface, (...) Glossary, Bibliography, Plates and General Index. This book is an attempt to present a systematic and consistent account of the philosophical background of the spiritual culture associated with the names of Yogi Gorakhnath and other adepts of the natha school. (shrink)

While living a life based on universal principles is well accepted by many, the reality of living acts as a great detriment to those who want to centre their lives on these timeless truths. Further, institutional mechanisms and work environments do not conform in general to such principle-centred living. The agents of the state, especially those in the police, have to work under tremendous obstacles and pressures from within and without, and often get a bad reputation, sometimes undeservingly. Moreover their (...) value systems may also degrade in these environments, a direction that requires to be altered by the ‘guardians of the law’. It is important to bring about alignment of values and ethical perceptions of state administrators with some universal laws. The Buddhist practice of vipassana mediation can play a significant role in such transformations, as is evident from the responses from Delhi Police personnel who underwent vipassana in one of their training programmes. Vipassana has made significant differences in the lives and perceptions of these trainees—both at the professional and personal level. This paper introduces these concepts and cites evidences from the feedback sheets of trainees to recommend worldwide adoption of such practices for those who occupy seats of power and responsibility. The feedback shows positive and very encouraging trends in all dimensions—work related, humanitarian, family and self—in other words, in professional, personal and deep inner lives. (shrink)

Objective Moral distress is a complex phenomenon experienced by healthcare professionals. This study examined the relationships between key dimensions of Organizational Culture in Healthcare (OCHC)—perceived psychological safety, ethical climate, patient safety—and healthcare professionals’ perception of moral distress.Design Cross-sectional surveySetting Pediatric and adult critical care medicine, and adult hospital medicine healthcare professionals in the United States.Participants Physicians (n = 260), nurses (n = 256), and advanced practice providers (n = 110) participated in the study.Main outcome measures Three dimensions of OCHC were (...) measured using validated questionnaires: Olson’s Hospital Ethical Climate Survey, Agency for Healthcare Research and Quality’s Patient Safety Culture Survey, and Edmondson’s Team Psychological Safety Survey. The perception of moral distress was measured using the Moral Distress Amidst a Pandemic Survey. The hypothesized relationships between various dimensions were tested with structural equation modeling (SEM).Results Adequate model fit was achieved in the SEM: a root-mean-square error of approximation =0.072 (90% CI 0.069 to 0.075), standardized root mean square residual = 0.056, and comparative fit index =0.926. Perceived psychological safety (β= −0.357, p <.001) and patient safety culture (β = −0.428, p<.001) were negatively related to moral distress experience. There was no significant association between ethical climate and moral distress (β = 0.106, p = 0.319). Ethical Climate, however, was highly correlated with Patient Safety Culture (factor correlation= 0.82).Conclusions We used structural equation model to test a theoretical model of multi-dimensional organizational culture and healthcare climate (OCHC) and moral distress.Significant associations were found, supporting mitigating strategies to optimize psychological safety and patient safety culture to address moral distress among healthcare professionals. Future initiatives and studies should account for key dimensions of OCHC with multi-pronged targets to preserve the moral well-being of individuals, teams, and organizations. (shrink)

Corporate governance has come to be recognised as a cornerstone of economic reforms seeking to promote stability and growth in developing countries. The Asian crisis of the 1997 was viewed as having roots in poor governance and hence national governments as well as international organisations have sought to promote a strengthening of governance mechanisms. This article investigates governance reforms in India over the last decade. The paper reviews changes in Indian governance codes that indicate a preference of adoption of Anglo-American (...) governance models. A survey of ownership structures of Indian listed companies reveals a mixture of governance mechanisms and a persistence of the "business house model" of governance. The paper concludes that despite external pressures towards an "Anglo-Americanisation" of governance practice, the outcomes thus far reveal the emergence of a diversity of governance mechanisms arising in a path-dependent fashion. (shrink)

Background: Digital technologies such as smartphones, tablets and laptops have become a mainstay part of nearly every household and are gradually being integrated into the lives of both adults and children. We aim to determine the extent of exposure and usage of digital technology by children in their daily activities and to understand the transition in technological preferences and attitudes over the generation. Methods: A cross-sectional study was conducted on 400 children aged 05-12 years living in Prayagraj city of Uttar (...) Pradesh, India, using a pretested interview schedule. Descriptive and bivariate statistics were used for data analysis. The phenomenological method was used to understand respondents’ viewpoints about their preferences and attitudes related to technology. Results: An overwhelming majority of households have television followed by digital cameras, laptops, tablets, kindle and video games such as Playstation. Nearly half of children began to use digital devices from the age of 7 to 8 years. Nearly two-third of the children learnt to use digital devices on their own, and about 12% of them reported often practicing media multitasking. Over the generation, differences are noted in terms of possession, use and perception regarding digital technology. Conclusion: The availability of media content on such devices influences the screen time of children of all ages. The study underscores the importance of parental monitoring and devising a policy to regulate the ownership of digital devices and to reduce screen time to less than two hours per day, especially during early childhood. (shrink)

The classical Indian school called Nyāya (literally “logic” or “right reasoning”), is arguably the leading anti-skeptical tradition within all of Indian philosophy. Defending a realist metaphysics and an epistemology of “knowledge sources” (pramāṇa), its responses to skepticism are often appropriated by other schools of thought. This paper examines its responses to skeptical arguments from dreams, from “the three times,” from justificatory regress, and over the problem of induction.

On the tenets of Sankhya philosophy in the light of Vijnanabhiksu's bhāṣya and Yoga varttika.

Counterinference is one of five kinds of pseudo-prover (similar to fallacy in Western logic) recognized in the Nyaaya school. Typically in counterinference while one side seeks to prove the thesis that a probandum belongs to an inferential subject because an inferential mark pervaded by the probandum belongs to that subject, an opponent challenges that by arguing that the probandum does not belong to the inferential subject because another inferential mark pervaded by absence (negation) of the probandum belongs to that subject. (...) A common example is: sound is eternal, since it is audible and audibility is pervaded by eternality (i.e. all that is audible is eternal, like sound-ness, the common property of all sound particulars); but sound is non-eternal, since it is originated (by clapping hands, etc.) and all that is originated is non-eternal, like a pot, etc. Critics from other philosophical schools have objected that counterinference is not an additional kind of pseudo-prover. Since it is impossible for an inferential subject both to have and not to have a probandum, either at least one of the inferential marks does not belong to the inferential subject (the fallacy of being unestablished) or at least one of the inferential marks lacks pervasion (the fallacy of deviation) and, accordingly, counterinference should be subsumed under those fallacies. Nyaaya philosophers have responded by pointing out that the formal structure of counterinference is different from that of the other fallacies: in counterinference we have two different inferential marks but not in the other candidates. The epistemic result of counterinference is also different from that of the other fallacies mentioned, it is argued further. Moreover, it is contended (against a Nyaaya faction) that the epistemic result is not doubt as specifically understood in Nyaaya but desire to know the truth about the chosen inferential mark and the probandum. Accordingly, counterinference may be explained as that which provides the ground for inquiring what is the truth about the original inferential mark and its probandum due to presentation of an inferential assimilation (paraamarsha) that contradicts the original inferential assimilation. The discussion yields also a broader normative principle that contradiction or counterproof provides the epistemic ground for further inquiry even if there is proof. The selection is from the Tattva-cintaa-maNi, the canonical Navya-Nyaaya work of GaMgesha (14th century CE?). The selection is from a large work and presupposes some things explained elsewhere in the text. Further, though written with great precision the work paradoxically belongs to the old Indian philosophical oral tradition in which a beginner is expected to read it with the help of additional information supplied by an expert. Hence paying close attention to what is implied in the context and supplementing certain ideas is necessary for interpretation and understanding. (shrink)

Indian logic is mainly devoted to the study of nyaya the logical structure of which is analogous to that of a categorical syllogism. In a nyaya it is inferred that since the probans (similar to the middle term) is pervaded by or never exists without the probandum (similar to the major term) and since the probans belongs to the inferential subject (similar to the minor term), the probandum belongs to the inferential subject. Many modern scholars hold that in early Indian (...) logic a nyaya was an analogical argument from particular to particular. We disagree. Early Nyaya works say explicitly that what deviates is a pseudo-probans; this implies that a probans is non-deviant or pervaded by the probandum and thus that a universal premise stating the pervasion of the probans by the probandum is needed. Such a universal premise is also found in articulated arguments. Further, a counterargument based on mere analogy to a nyaya based on a universal connection is viewed as a pseudo-refutation. (shrink)

This paper deals with psycho-physical dualism as developed by Nyaya-Vaisesika philosophers. It is argued that internal states like pleasure, desire, etc. that are directly observable only by one’s own self and not by others and thus are private are not bodily states that are directly observable by one’s own self and others and thus are public. Common experiences such as I am happy, I want this, etc. testify, in the absence of compelling evidence to the contrary, that desire, etc. belong (...) to the self. The self is not only non-physical but also a permanent substance contrary to the Buddhist-Humean view that there are only fleeting internal states and no abiding self. Desire, etc. presuppose that the person who experienced something in the past remembers it now and desires it so that the agent of previous experience and later remembrance is the same continuant person. (shrink)