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
收藏
页码：1383 / 1390
页数：8
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