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Soft set theoretical approach to pseudo-BCI algebras

Title
Soft set theoretical approach to pseudo-BCI algebras
Author
박춘길
Keywords
Fuzzy logic; soft set; soft pseudo-BCI algebra; filteristic soft pseudo-BCI algebra; int-soft filter
Issue Date
2018-01
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 34, no. 1, page. 559-568
Abstract
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 a generalization of pseudo-BCK algebra which is close connection with various non-commutative fuzzy logic algebras. The concept of soft set is introduced by Molodtsov, it can be seen as a new mathematical tool for dealing with uncertainty. In this paper, soft set theory is applied to pseudo-BCI algebras, the new notions of soft pseudo-BCI algebras and filteristic soft pseudo-BCI algebras are introduced. The relationships between soft pseudo-BCI algebras and soft non-commutative residuated lattices are presented. The union, intersection, int-product, uni-product and difference operations of (filteristic) soft pseudo-BCI algebras are investigated. Finally, another application of soft set to pseudo-BCI algebras is discussed, the new concept of int-soft filters in pseudo-BCI algebras is introduced, and related properties are proved.
URI
https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs17777https://repository.hanyang.ac.kr/handle/20.500.11754/117010
ISSN
1064-1246; 1875-8967
DOI
10.3233/JIFS-17777
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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