Publicado 6 números por año
ISSN Imprimir: 2152-5080
ISSN En Línea: 2152-5099
Indexed in
NEUTROSOPHIC FILTERS IN PSEUDO-BCI ALGEBRAS
SINOPSIS
The concept of the neutrosophic set was introduced by Smarandache; it is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. The notion of pseudo-BCI algebra was introduced by Dudek and Jun; it is a kind of nonclassical logic algebra and has a close connection with various noncommutative fuzzy logics. In this paper, neutrosophic set theory is applied to pseudo-BCI algebras. The new concepts of neutrosophic filter, neutrosophic normal filter, antigrouped neutrosophic filter, and neutrosophic p-filter in pseudo-BCI algebras are proposed, and their basic properties are presented. Moreover, by using the concept of (alpha, beta, gamma)-level set in neutrosophic sets, the relationships between fuzzy filters and neutrosophic filters are discussed.
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Ma Yingcang, Zhang Xiaohong, Smarandache Florentin, Zhang Juanjuan, The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings, Symmetry, 11, 10, 2019. Crossref
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An Xiaogang, Zhang Xiaohong, Ma Yingcang, Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop, Mathematics, 7, 12, 2019. Crossref
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Li Qiaoyan, Ma Yingcang, Zhang Xiaohong, Zhang Juanjuan, Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers, Symmetry, 11, 5, 2019. Crossref
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Bo Chunxin, Zhang Xiaohong, Shao Songtao, Non-Dual Multi-Granulation Neutrosophic Rough Set with Applications, Symmetry, 11, 7, 2019. Crossref
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Zhang Xiaohong, Wu Xiaoying, Involution Abel–Grassmann’s Groups and Filter Theory of Abel–Grassmann’s Groups, Symmetry, 11, 4, 2019. Crossref
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Hu Qingqing, Zhang Xiaohong, Neutrosophic Triangular Norms and Their Derived Residuated Lattices, Symmetry, 11, 6, 2019. Crossref
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Zhang Xiaohong, Ma Yingcang, Yu Peng, On Two Conjectures of Abel Grassmann’s Groupoids, Symmetry, 11, 6, 2019. Crossref
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Wang Jingqian, Zhang Xiaohong, A New Type of Single Valued Neutrosophic Covering Rough Set Model, Symmetry, 11, 9, 2019. Crossref
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Li Qiaoyan, Ma Yingcang, Zhang Xiaohong, Zhang Juanjuan, Study on the Algebraic Structure of Refined Neutrosophic Numbers, Symmetry, 11, 8, 2019. Crossref
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Zhang Xiaohong, Smarandache Florentin, Ma Yingcang, Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups, Symmetry, 11, 10, 2019. Crossref
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Hu Minghao, Smarandache Florentin, Zhang Xiaohong, On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups, Symmetry, 12, 1, 2020. Crossref