Interval-valued prime fuzzy ideals of semigroups

被引：9

作者：

Kar S. ^{[1
]}

Shum K.P. ^{[2
]}

Sarkar P. ^{[1
]}

机构：

[1] Department of Mathematics, Jadavpur University, Kolkata

[2] Institute ofMathematics, Yunnan University, Kunming

来源：

Lobachevskii Journal of Mathematics | 2013年 / 34卷 / 1期

关键词：

Interval Number; Interval-valued Completely Prime Fuzzy Ideal; Interval-valued Fuzzy Ideals; Interval-valued Prime Fuzzy Ideal; Intervalvalued Fuzzy Point; Semigroup;

D O I：

10.1134/S1995080212040117

中图分类号：

学科分类号：

摘要：

We study the interval-valued fuzzy ideals of a semigroup S. For the sake of brevity, we simply call the interval-valued fuzzy ideals and the interval-valued fuzzy points as the (i-v) fuzzy ideals and the (i-v) fuzzy points, respectively. It is proved that if μ̃ is an (i-v) fuzzy ideal of a semigroup S, then μ̃ is an (i-v) prime fuzzy ideal of S if and only if μ̃c is an (i-v) fuzzy m-system of S. Some characterization theorems of the (i-v) prime fuzzy ideals and (i-v) completely prime fuzzy ideals of semigroup S are given. © 2013 Pleiades Publishing, Ltd.

引用

页码：11 / 19

页数：8

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