滤子化软FI代数

J4 ›› 2012, Vol. 47 ›› Issue (11): 94-98.

滤子化软FI代数

刘春辉^1,2

1. 赤峰学院教务处, 内蒙古赤峰 024001; 2. 赤峰学院数学与统计学院, 内蒙古赤峰 024001

收稿日期:2011-06-06 出版日期:2012-11-20 发布日期:2012-11-26
作者简介:刘春辉(1982- ), 男, 硕士, 讲师, 研究方向为非经典数理逻辑与软计算.Email: chunhuiliu1982@163.com
基金资助:
国家自然科学基金资助项目(10371106)

Filteristic soft FI-algebras

LIU Chun-hui1,2

1. Office of Academic Affairs, Chifeng University, Chifeng 024001, Inner Mongolia, China;
2. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China

Received:2011-06-06 Online:2012-11-20 Published:2012-11-26

摘要/Abstract

摘要：

将软集概念及其相关运算运用于FI代数问题的研究。首先, 提出滤子化软FI代数的概念并讨论其代数性质。其次, 应用滤子化软FI代数概念给出了FI代数上的模糊集成为模糊MP滤子和(∈,∈∨ q)-模糊MP滤子的几个充要条件。

关键词: FI代数; 软集; 滤子化软FI代数; 模糊MP滤子; (∈,∈∨q)-模糊MP滤子

Abstract:

We used the concept of soft sets and its related operations in FI-algebras problem research. Firstly, the notion of filteristic soft FIalgebras are introduced and their some algebraic properties are discussed. Secondly, several necessary and sufficient conditions of a fuzzy set to be fuzzy MP-filter and (∈,∈∨ q)-fuzzy MP-filter in FI-algebras are given by applying the notion of filteristic soft FI-algebras.

Key words: FI-algebra; soft set; filteristic soft FI-algebra; fuzzy MP-filter; (∈,∈∨q)-fuzzy MP-filter

刘春辉1,2. 滤子化软FI代数[J]. J4, 2012, 47(11): 94-98.

LIU Chun-hui1,2. Filteristic soft FI-algebras[J]. J4, 2012, 47(11): 94-98.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed