期刊
INFORMATION SCIENCES
卷 181, 期 9, 页码 1759-1770出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.01.009
关键词
Fuzzy subset; (alpha; beta)-fuzzy generalized bi-ideal; (alpha; is an element of V q)-fuzzy generalized bi-ideal; Regular ordered semigroup
In this paper, the concept of an (alpha, beta)-fuzzy generalized bi-ideal in an ordered semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal in an ordered semigroup. Using this concept, some characterization theorems are provided. The upper/lower parts of an (is an element of, is an element of V q)-fuzzy generalized bi-ideal are introduced and some characterizations of regular ordered semigroups are given. Also, we consider the concept of implication-based fuzzy generalized bi-ideals in an ordered semigroup. In particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed. (C) 2011 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据