Generalizations of (ε, ε ∨ q)-fuzzy subalgebras in BCK/BCI-algebras

被引：61

作者：

Jun, Young Bae ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 07期

关键词：

BCK/BCI-algebra; (epsilon; q(k))-fuzzy subalgebra; epsilon boolean OR q(k))-fuzzy subalgebra; (epsilon boolean OR q(k))-level subalgebra; SOFT SET-THEORY; BCK-ALGEBRAS; FUZZY IDEALS; SUBGROUP;

D O I：

10.1016/j.camwa.2009.07.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy set is considered, and generalizations of results in the papers [Y. B. Jun, On (alpha, beta)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc. 42 (4) (2005) 703-711; Y. B. Jun, Fuzzy subalgebras of type (alpha, beta) in BCK/BCI-algebras, Kyungpook Math. J. 47 (2007) 403-410] are discussed. The notions of (epsilon, q(k))-fuzzy subalgebras and (epsilon, epsilon boolean OR q(k))-fuzzy subalgebras in a BCK/BCI-algebra X are introduced, and several properties are investigated. Characterizations of (epsilon, epsilon v q(k))-fuzzy subalgebra in a BCK/BCI-algebra X are discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1383 / 1390

页数：8

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