In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.

The notion of int-soft ideal in a pseudo MV -algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of int-soft ideal are considered. The extension property for implicative int-soft ideal is established.

Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed. Conditions for an Inf-hesitant fuzzy ideal to be an Inf-hesitant fuzzy p-ideal are (...) discussed. Using the notion of Inf-hesitant fuzzy ideals, a characterization of a p-semisimple BCI-algebra is provided. Extension properties for an Inf-hesitant fuzzy p-ideal is established. (shrink)

The notions of a C-energetic subset and permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.

Given i, j, k ∈ {1,2,3,4}, the notion of -length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.

This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, (...) Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar. (shrink)

This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. (...) Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang. (shrink)

Ben shu jie shao le gong zi zhen, wei yuan, yan fu, kang you wei, tan si tong, liang qi chao, chen tian hua, zhang bing lin deng wan qing si xiang jia de zhe xue si xiang.

Ben shu zhu yao yan yong bing zun xun "li shi yu luo ji xiang tong yi" de yuan ze he fang fa, xiang xi shu li, jian tao zuo wei ming dai zhong qi si xiang jia de Huang Wan, qi yi sheng dao xue si xiang jin zhan guo cheng zhong cong Song ru zhi xue (li xue) dao Wang Yangming liang zhi xue (xin xue), zai dao hui gui jing dian (jing xue) de yan bian li (...) cheng, yi qi lun zheng qi xue shu yan bian fan shi zhi yu Ming Qing xue shu zhuan xing de "xian dao xing" dian fan yi yi. (shrink)

The body is not a physical reservoir or temporary means of cognitive processes but the part and parcel of our cognitive and moral life. Confucian philosophy provides insightful discussions and examples of how the body serves the moral mind not only causally but also constitutionally.

This book offers an analysis of shame and develops an interdisciplinary and comparative interpretation of Confucian shame as a moral disposition, the ability of critical moral-development and self-cultivation.

Enlivening the spirit without overwhelming the mind, the poem Hsin-Hsin Ming, or Song of Trusting the Heart, was written in the sixth century by the third Zen patriarch of China. It is perhaps the most encompassing and profound statement of Zen awareness we have. A beautiful daily meditation guide, the book will become a year-round fixture in readers' lives. These haunting lyrics inspire a peaceful awakening that helps one see through attachments, judgments, and illusions.

Since the publication of Fodor's (1983) The Modularity of Mind, there have been quite a few discussions of cognitive modularity among cognitive scientists. Generally, in those discussions, modularity means a property of specialized cognitive processes or a domain-specific body of information. In actuality, scholars understand modularity in many different ways. Different characterizations of modularity and modules were proposed and discussed, but they created misunderstanding and confusion. In this article, I classified and analyzed different approaches to modularity and argued for the (...) unity of modularity. Modularity is a multidimensional property consisting of features from several dimensions specifying different aspects of cognition. Among those, there are core features of modularity, and these core features form a cross-dimensional unity. Despite the diverse and liberal characterizations, modularity contributes to cognitive science because of the unity of the core features. (shrink)

This paper compares and contrasts Mencius's moral philosophy with recent development in cognitive science regarding mental capacity to understand moral rules and principles. Several cognitive scientists argue that the human mind has innate cognitive and emotive foundations of morality. In this paper, Mencius's moral theory is interpreted from the perspective of faculty psychology and cognitive modularity, a theoretical hypothesis in cognitive science in which the mind is understood as a system of specialized mental components. Specifically, Mencius's Four Beginnings (the basic (...) human emotions that serve as the foundations of morality) are interpreted as vertical faculties, comparable to Scottish philosopher Thomas Reid's moral faculties. (shrink)

Many comparative philosophers discuss ceyinzhixin 惻隱之心 and its moral psychological nature to understand the Confucian heart-mind and the unique Confucian approach to other-concerning love. This essay examines and analyzes different interpretations of ceyinzhixin. First, it surveys and compares the four interpretations in recent publications of comparative Chinese philosophy, and analyzes their moral psychological viewpoints. Second, three major approaches to ceyinzhixin and their differences are analyzed. Third, the moral psychological complexity of ceyinzhixin and the advantage of the integrative approach are discussed. (...) The integrative approach, in comparison to other approaches, explains both the complexity and the unity of ceyinzhixin better and develops an inclusive and comprehensive interpretation of ceyinzhixin and the unique moral psychological nature of the Confucian heart-mind in its empathic other-concerning love. (shrink)

Since the time of Plato and Aristotle, philosophers have studied functional structure of human mind. So called 'faculty psychology' is the study of innate structure of human cognition. However, it is Gall's theory of faculties that started the study of domain specific and autonomous units of human mind. This dissertation discusses modularity of mind, i.e., the idea that mind consists of such domain specific and autonomous units, i.e., cognitive modules. ;In the first of the dissertation, I discuss faculty psychology as (...) a historical precursor of modularity and recent theories of modularity that are developed to capture different aspects of a cognitive system. ;In the second part of the dissertation, I discuss Fodorian modularity, a comprehensive and well developed theory of modularity. Two problems of Fodorian modularity are discussed. First, Fodorian modularity is problematic because it has a problematic element, i.e., neural specificity. Fodor explains informational encapsulation of a cognitive system in terms of specific neural structure of the system. However, I argue that neural specificity is not fully demonstrated in psychology. Second, Fodorian modularity is an internally specified property of a cognitive system. Modularity, however, can be understood as an external property, a property that is specified by a cognitive system's relation to other objects and properties in the world. (shrink)

In The Emotional Mind, Asma and Gabriel (2019) develop their grand vision of affect. Their goal is to demonstrate the foundational and pervasive nature of emotion in the mind, culture and society through the embodied, embedded, and enactive process of evolution. The book discusses how affective adaptation supports or leads diverse facets of human psychology and society. In this paper, however, I raise three critical questions about Asma and Gabriel’s approach to emotion: (1) whether emotion is a natural kind, (2) (...) whether internalized self-critical emotions came to exist through the adaptive and interactive process of decoupling, and (3) whether the variance and integrity of the tripartite layers of the mind can be maintained. (shrink)

This paper discusses Confucian notions of moral autonomy and moral agency that do not follow strict and ideal notions of autonomy that one can find in many Western theories of moral philosophy. In Kantian deontology, for example, one's autonomy, specifically one's rational will to follow universal moral rules, is a necessary condition of moral agency and moral responsibility. In Confucian moral philosophy, however, this type of strict moral autonomy is rarely observed. A Confucian moral agent is often depicted as a (...) partially heteronomous individual who often accepts and follows others' moral authority and considers external contingencies in her moral deliberations. Yet active moral agency is maintained in Confucian philosophy. In this paper, I will explain and analyze a partially heteronomous but active form of moral agency in Confucian moral philosophy. First, I will survey different notions of moral autonomy and explore philosophical theories of partial autonomy and heteronomy. Second, I will discuss, on the basis of interactive, responsive, and situated notions of the self, how Confucian moral agency can be explained without strict standards of autonomy. In Confucianism, morality or virtuosity reflects the relational, responsive, and situated nature of human being that resonates with other human beings and their environmental contingencies. Mencius, for example, acknowledges and discusses interactive or relational nature of moral action and the dependency of the moral self on external conditions of life without giving up active moral effort and full moral responsibility. Third, based on my analysis of moral autonomy and responsibility in early Confucian philosophy, I will argue that Confucian moral philosophy provides a unique way of understanding moral agency, not through self-enclosed independency but through relational and interactive interdependency of communal agency. (shrink)

In this book, Edward Slingerland criticizes and rejects a pervasive and widely accepted viewpoint in Chinese philosophy: holism. Simply speaking, holism is a non-discrete and non-analytic pattern of thinking that avoids the adoption of mutually exclusive and dualistic concepts such as mind-body, theory-practice, reason-emotion, and macrocosm-microcosm typically found in many Western philosophical theories. In the context of Chinese philosophy, it is understood as an interpretational framework where Chinese philosophy is characterized as a fundamentally and essentially non-dualistic system of thought. According (...) to Slingerland, holism is not simply one of the characteristics of Chinese philosophy but a deeply rooted... (shrink)

Previous scholars seem to assume that Mengzi’s 孟子 four sprouts are more or less homogeneous in nature, and the four sprouts are often viewed as some sort of desires for or instinctive inclinations toward virtues or virtuous acts. For example, Angus Graham interprets sìduān 四端 as “incipient moral impulses” to do what is morally good or right, or “spontaneous inclinations” toward virtues or moral good. However, this view is incompatible with the recently proposed more sound views that regard Mengzi’s four (...) sprouts as a particular type of emotions or feelings having some “cognitive” or “rational” aspects. In this essay I develop this new approach to Mengzi’s four sprouts, and specifically argue that respect in Mengzi should be considered neither as a moral desire nor as a behavioral tendency to do deferential acts but as some sort of ethical sensibility that is responsive to the relevant features of a worthy person. (shrink)

In this chapter I discuss several important issues in Mencius’s moral psychology. I begin with some methodological thoughts about how to study emotions in Mencius and ancient China in general, and then move on to a discussion of Mencius’s conception of four sprouts (siduan 四端). Specifically, I argue that moral emotions in Mencius are best interpreted as a kind of “concern-based construals,” and show how they are conceptually distinguished from both desire and behavioral dispositions. Next, I delineate the unique character (...) of shifei zhi xin 是非之心, one of the four sprouts, as moral judgment, and I discuss how the other three sprouts as moral emotions are related with shifei zhi xin under the rubric of the relationship between reason and emotion in the Mencius. Finally, I examine previous interpretations of the Mencian notion of emotional extension (tui 推) and conclude the chapter with some ideas and brief suggestions about how to cultivate ethical emotions in the context of the Mencius. (shrink)

This chapter develops an interdisciplinary and comparative analysis of Mencius’s moral psychology from the perspective of cognitive science. The chapter has three major objectives. First, the author explains Mencius’s moral philosophy in the broad moral psychological context of the Confucian heart-mind as an intriguing combination of reason and emotion. Second, the author surveys major approaches to moral cognition currently discussed and debated in many areas of psychology and neuroscience and compares them with Mencius’s approach to affective empathy and other-concerning emotions. (...) Specifically, Mencius’s discussion of ceyin zhi xin (惻隱之心 the heart-mind of pity and compassion) is analyzed on the basis of recent psychological studies of empathy as perspective taking, affective sharing, and emphatic concern. Third, Mencius’s moral psychology is characterized as a theory of other-regarding, developmental, and embodied moral emotions and its uniqueness is explained by the Mencian creature (a prototypical moral agent in Mencius’s moral psychology). The distinctive characteristics of the Mencian creature are listed, analyzed, and compared against the psychological properties of the Kantian, Humean, and Rawlsian creatures in Western moral psychology. By drawing from psychological theories of affective empathy and other-concerning emotions, this chapter provides a stimulating opportunity for us to deepen our understanding of Mencius’s moral psychology and the Confucian heart-mind. (shrink)

Ben shu tan tao le Song Ming li xue yu Ming dai wen xue de guan xi, bing yi ren ge feng fan wei zhong dian shen ru yan jiu le Ming dai wen xue de chuang zuo yu liu bian, jian gou le Ming dai wen xue de chuang zuo yu liu bian jian gou le Ming dai wen xue de fa zhan ti xi, dui Ming dai zhong yao zuo jia, zuo pin ti chu le du dao (...) de kan fa. (shrink)

Medical missionaries made a breakthrough in Korean history in healing and caring for many Hansen and tuberculosis patients. There was a missionary who had no less good influence than medical missionaries at this time. The person is missionary Sarah Barry, who inspired and developed one of the most influential student movements in South Korea. The aim of the present study is to examine life of Sarah Barry and her ministry, focusing upon her positive influences on Korean intellectuals. The relevance of (...) the study is conditioned by the fact that there is no professional academic research on her ministry except for one short paper, which discusses the importance of her role in formulating campus evangelism. In order to achieve the aim of the study, the method of analysis and synthesis of biographical and historical data was used. As a result of the study, Sarah Barry’s biography was researched and systematized. It gave ground to a conclusion that her role in South Korea’s gradual resurgence after the Civil War was seminal. (shrink)

This paper investigates whether the pattern of firms’ corporate social responsibility activities affects firm value. If firms do permanently CSR activities for strategic purposes, firms’ value is more likely to increase. Using firms known to do CSR in Korea, we examine the valuation effect by adopting an earnings response coefficient model and document firms with permanent CSR activities, which show higher ERCs than other firms regardless of the level of CSR activities. This result partly explains the inconsistency among the results (...) of previous studies by showing the differential implication for firm value depending on the CSR activity pattern. Also, the results of our paper imply that investors need to consider the pattern of firms’ CSR activities in their economic decision making. (shrink)

This article discusses philosophical influence, especially the influence made by Confucianism and Daoism, on the way Asian people see and understand the world. Recently, Richard Nisbett drew a connection between Chinese philosophy (Confucianism and Daoism) and the cognitive profiles of the people who live in Asian countries where Confucianism and Daoism are strong social and cultural traditions. He argues that there is a peculiar way that Asians think and perceive things and this cognitive pattern is influenced by a group of (...) principles derived from Chinese philosophy. This article critically analyzes Nisbett’s explanation, his emphasis on the principle of change in particular, and provides an alternative explanation of the connection between Chinese philosophy and cognitive peculiarities of Asians. Asians combine and integrate opposite viewpoints not because they believe that things change in all unexpected directions, but because they see the world as a big system with interrelated and mutually influencing components. (shrink)

Although shame is not listed in Ekman’s (1999) basic emotions, it is recognized by many psychologists as one of the universal human emotions observed across different cultures throughout the world as a secondary self-conscious emotion (self-critical awareness of one’s social reputation) (Tangney et al., in Annual Review of Psychology, 58, 345–372, 2007). However, there are culturally specific forms and words of shame that can pose a serious challenge to cross-linguistic communication. I will categorize different forms of shame and discuss if (...) there exist any incomparable or incompatible notions of shame in Korean and Japanese cultures. I will argue that there are at least three semantic categories in Korean and Japanese words of shame. However, one of the semantic categories of Korean shame words represents a unique notion of shame (an inner sense or disposition of morality) which is not fully or properly translated into the Japanese words of shame. Therefore, shame provides an intriguing case of culturally en-formed emotions, emotions that are developed in particular cultural environments. This type of culturally embedded semantic difference seems to be persistent or perhaps pervasive even between closely related cultures such as Korean and Japanese cultures with many comparable social practices and linguistic characteristics. The current study shows that cultural variance and semantic incomparability (although they do not necessarily demonstrate fundamental cultural relativity or radical incommensurability between different linguistic or conceptual systems) can affect cross-linguistic communication and cause, in certain contexts, cross-linguistic disagreement. (shrink)