Picture fuzzy filters of pseudo-BCI algebras
- Authors
- Zhang, X.; Bo, C.; Park, C.
- Issue Date
- 2017
- Publisher
- IOS Press
- Keywords
- Anti-grouped picture fuzzy filter; Fuzzy filter; Picture fuzzy filter; Picture fuzzy set; Pseudo-BCI algebra
- Citation
- Frontiers in Artificial Intelligence and Applications, v.299, pp.254 - 260
- Indexed
- SCOPUS
- Journal Title
- Frontiers in Artificial Intelligence and Applications
- Volume
- 299
- Start Page
- 254
- End Page
- 260
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/153276
- DOI
- 10.3233/978-1-61499-828-0-254
- ISSN
- 0922-6389
- Abstract
- The notion of picture fuzzy set is introduced by B. C. Cuong, which is a common extension of fuzzy set and intuitionistic fuzzy set. The notion of pseudo-BCI algebra is introduced by W. A. Dudek and Y. B. Jun, it is a kind of non-classical logic algebra and close connection with various non-commutative fuzzy logic algebras. In this paper, picture fuzzy theory is applied to pseudo-BCI algebras. The new concepts of picture fuzzy filter and anti-grouped picture fuzzy filter in pseudo-BCI algebras are proposed, and their characterizations are presented. Moreover, the relationships between fuzzy filters and picture fuzzy filters are discussed.
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