In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts. We defined the concepts of \((\in, \in)\) and \((\in, \in\! \vee \, {q})\)-fuzzy ideals of equality algebras, discussed some properties, and found some equivalent definitions of them. In addition, we investigated the relation between different kinds of \((\alpha,\beta)\)-fuzzy subalgebras and \((\alpha,\beta)\)-fuzzy ideals on equality algebras. (...) Also, by using the notion of \((\in, \in)\)-fuzzy ideal, we defined two equivalence relations on equality algebras and we introduced an order on classes of \(X\), and we proved that the set of all classes of \(X\) by these order is a poset. (shrink)

The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions for a falling fuzzy subhoop to be a falling fuzzy filter are provided. Also conditions for a falling shadow of a random set to be a falling fuzzy filer are displayed.

The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions for a falling fuzzy subhoop to be a falling fuzzy filter are provided. Also conditions for a falling shadow of a random set to be a falling fuzzy filter are displayed.

This paper presents dialectical relation between conditions of objectivity and its foundational components in philosophy of Husserl. Above distinction results from grounds and locations of objectivity in Husserl. This dialectical relation that leads to reduction of conditions and components together, and without considering them the verification of objectivity of knowledge and its objects is impossible, required the flexible essence of transcendental consciousness. For displaying the dialectical relation the review of transcendental consciousness is necessary. The essence of consciousness is the intentionality (...) of it. The other properties of consciousness results from the intentionality. Conditions of objectivity are related to the noetic pole of consciousness and components of objectivity to the noematic pole of it. (shrink)

Students’ attitudes towards plagiarism and academic misconduct have been found to vary across national cultures, although the relationship between national culture and students’ perceptions of plagiarism policy remains unexplored. Student survey data (n = 1757) from the UK, Czechia, Poland and Romania were analysed for differences in students’ perceptions of three specific aspects of plagiarism policy – access, support and detail – at their respective universities. Considered through the lens of Hofstede’s cultural dimensions, the study found significant differences between the (...) UK and the three Eastern European countries for all measures except students’ awareness of the penalties applied for plagiarism. Low ‘power distance’ and high ‘individualism’ were related to positive perceptions of plagiarism policy and process. The findings suggest that institutional plagiarism policy and procedures need to be responsive to the unique characteristics of national cultural context. (shrink)

Students’ attitudes towards plagiarism and academic misconduct have been found to vary across national cultures, although the relationship between national culture and students’ perceptions of plagiarism policy remains unexplored. Student survey data from the UK, Czechia, Poland and Romania were analysed for differences in students’ perceptions of three specific aspects of plagiarism policy – access, support and detail – at their respective universities. Considered through the lens of Hofstede’s cultural dimensions, the study found significant differences between the UK and the (...) three Eastern European countries for all measures except students’ awareness of the penalties applied for plagiarism. Low ‘power distance’ and high ‘individualism’ were related to positive perceptions of plagiarism policy and process. The findings suggest that institutional plagiarism policy and procedures need to be responsive to the unique characteristics of national cultural context. (shrink)

When it comes to making decisions in vague problems, rough is one of the best tools to help analyzers. So based on rough and hoop concepts, two kinds of approximations (Lower and Upper) for filters in hoops are defined, and then some properties of them are investigated by us. We prove that these approximations- lower and upper- are interior and closure operators, respectively. Also after defining a hyper operation in hoops, we show that by using this hyper operation, set of (...) all rough filters is monoid. For more study, we define the implicative operation on the set of all rough filters and prove that this set with implication and intersection is made a hoop. (shrink)

The notions of soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

The notions of soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

There is a limited understanding of the student perspective of integrity in postgraduate research. This is of concern given that ‘research trainees’ may have a vulnerable position in formal investigations of research misconduct. This paper analyses qualitative data drawn from an Australian online academic integrity survey in a mixed methods research study. This analysis complements the quantitative survey data analysed earlier and sought to explore factors contributing to postgraduate research students’ satisfaction with policy and process, the ways institutions can support (...) students’ understandings and practice, suggestions for improving breach processes, and students’ concerns. We found that integrity training and modelling of ethical behaviour by staff were key factors contributing to students’ satisfaction. Students would have liked more ‘hands-on’ integrity training, accompanied by consistent and transparent enforcement of policy. Respondents expressed concern about the credibility of research output and educational standards. We call for recommendations from the extensive literature on academic integrity policy and practice to be extended to the postgraduate research sphere. (shrink)

This research examines the descriptive and textual contexts of the Rashidun caliphs Hazrat Abu Bakr (d. 13/634), Hazrat Omar (d. 23/644), Hazrat Othman (35/656) and Hazrat Ali (d. 40/661) in the examples of signatures. However, it examines the general contexts of these signatures and aims to relate these detachment examples with their senders who have the qualifications of authority, eloquence and justice. These signature texts must be handled with full grace, awareness, forethought and responsibility, without any additions or reductions to (...) the text by the recipient. The research deals with the production area of signature and examines the forms of expression in terms of the interpretation and testify (istishad) included in these texts. In addition to these features, the research has applied to the texts of signature, which express a certain treatise, in order to express their expressions and to reveal the rhetorical aspects and textual differences they contain. As a result of the research, it has been seen that the Rashidun caliphs wrote the texts of signature with such qualities as wisdom, persuasion, lacotical (îcâz), suggestion, concentration, open-mindedness and avoidance of closedness, and in accordance with a goal. As a result of the research, it was seen that the signatures revolved around a pattern of focusing and concentrating on the meaning, combining the filtered beautiful words and the clarity of the wording and the literary aspect of the meaning. Finally, the caliphs used these signatures in line with a certain goal to solve many political and social issues. (shrink)

Two sample populations, one refugee and one resident, were studied. The frequencies of consanguineous marriages came out to be 49·8% and 55·4%, respectively, for the refugees and the residents. Caste endogamy was dominant both in the residents and the refugees. The mean coefficient of inbreeding was calculated to be 0·0303 for the refugee population and 0·0332 for the resident population samples. First cousin marriage was the dominant type of marriage in both samples; fathers daughter (FBD) marriage was more frequent among (...) the refugees while mothers daughter (MBD) marriage was more frequent among the residents. Education has no decreasing effect on the incidence of consanguineous marriages. A significant difference in the pattern of marriages in the refugees is observed after the Saur Revolution of 1979. (shrink)

In this paper, considering \(L\)-algebras, which include a significant number of other algebraic structures, we present a definition of modules on \(L\)-algebras (\(L\)-modules). Then we provide some examples and obtain some results on \(L\)-modules. Also, we present definitions of prime ideals of \(L\)-algebras and \(L\)-submodules (prime \(L\)-submodules) of \(L\)-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime \(L\)-submodules.

In this paper, we apply the notion of \(n\)-fold filters to the \(EQ\)-algebras and introduce the concepts of \(n\)-fold pseudo implicative, \(n\)-fold implicative, \(n\)-fold obstinate, \(n\)-fold fantastic prefilters and filters on an \(EQ\)-algebra \(\mathcal{E}\). Then we investigate some properties and relations among them. We prove that the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold pseudo implicative filter of an \(EQ\)-algebra \(\mathcal{E}\) is a good \(EQ\)-algebra and the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold fantastic filter of a good \(EQ\)-algebra \(\mathcal{E}\) is an (...) \(IEQ\)-algebra. (shrink)

Self-plagiarism requires clear definition within an environment that places integrity at the heart of the research enterprise. This paper explores the whole notion of self-plagiarism by academics and distinguishes between appropriate and inappropriate textual re-use in academic publications, while considering research on other forms of plagiarism such as student plagiarism. Based on the practical experience of the authors in identifying academics’ self-plagiarism using both electronic detection and manual analysis, a simple model is proposed for identifying self-plagiarism by academics.

This article examines the circulation of works produced by Jewish translators and authors whose ideas were based on Averroes’ philosophy during the 13th century. The objective is to determine the general features of Hebraic Averroism and its development in the socio-cultural context of this period. Aristotelianism was initially used to combat and defend against criticisms of «other beliefs» threatening the identity of the Jewish community, and to combat Jewish anti-rationalists. Because of a worsening situation and great social division in Jewish (...) society at the end of the 13th century, Jewish Averroists prioritized the search for a solution that could guarantee unity of the community, that is, making religion and philosophy live together in peace. (shrink)

This article investigates the intellectual production of Jewish authors influenced by Averroes in the 14th and 15th Centuries in northern Spain and southern France. The primary objective is to determine the main features of Jewish Averroism in this period, and to understand it within its socio-historical context. The outcomes suggest that there was a relationship between the new social and political trends toward democratization and reconciliation in the heart of Jewish communities on one hand, and the growing interest in Averroes’ (...) original works on the other. Original here means the works that are not commentaries or summaries of other works. (shrink)

The entrepreneurial element is one of the aspects emphasized in the primary school mathematics education curriculum in Malaysia. However, previous studies have found that application of entrepreneurial elements in mathematics teaching is still lacking. This study was therefore conducted to identify the real challenges that mathematics teachers face in applying the entrepreneurial element in mathematics teaching. This study is qualitative case study which involved six primary school mathematics teachers. Semi-structured interviews, observation, document analysis and field notes were used for the (...) data collection process in this study. The data obtained was analyzed using the constant comparative analysis method to determine themes and sub-themes. The findings were that a teacher’s knowledge, teaching style, limited time of teaching, and attitudes, and in-service courses and training are among the identified challenges in applying entrepreneurial elements in mathematics teaching. This study expands knowledge and the literature on the challenges faced by school mathematics teachers in applying entrepreneurial elements in mathematics teaching. Various initiatives need to be taken to ensure that all the challenges can be overcome, and ultimately enable the entrepreneurial elements to be applied to students more widely. (shrink)

ABSTRACT The discourse on honesty and dishonesty in academic work has seen considerable growth over the past two decades. This study empirically analyses the shifts in the literature over the past two decades in the research focus and most prolific authors, institutions, countries, and journals. A broad list of terms was employed from the Glossary of Academic Integrity to shortlist journal articles (n = 782) from Scopus. A bibliometric analysis was conducted for each decade and the results were compared. Research (...) outputs and number of clusters were over two-fold in the second compared to the first decade indicating an increase in volume and complexity. The study found a continued focus on plagiarism and academic misconduct research, though academic integrity and contract cheating emerged in the second decade. Shifts were evident in the output signifying a diversification of the research base and perspectives. Further research and action are needed to develop integrity as the broadest defense against dishonesty in all spheres of academia. (shrink)

In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. Finally, we introduce some topologies on effect modules.

In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition and bounded commutative BCK-algebras. We investiate some results for Pc-lattices being a new class of BCK-lattices. Specially, we prove that any Boolean lattice is a PC-lattice and we show that if X is a PC-lattice with condition S, then X is an involutory BCK-algebra if and only if X is a commutative BCK-algebra. Finally, we prove that any PC-lattice with condition is (...) a distributive BCK-algebra. (shrink)

Study of a classical critic of Avicenna's views on the existence and nature of God.

Study of a classical critic of Avicenna's views on the existence and nature of God.