权及其与反模糊子群之间的关系  

Weights and the relation with anti-fuzzy subgroups

作　　者：付云鹏[1] 王利香[2] 袁学海[3] 

机构地区：[1]辽宁大学信息学院,沈阳110036 [2]潍坊学院数学与信息科学学院,潍坊261061 [3]大连理工大学控制科学与工程学院,大连116024

出　　处：《黑龙江大学自然科学学报》2013年第2期195-197,共3页Journal of Natural Science of Heilongjiang University

基　　金：辽宁大学青年基金资助项目(2011LDQN16)

摘　　要：在介绍反模糊子群概念的基础上,研究反模糊子群的性质。通过引入权的概念和性质,研究反模糊子群与权之间的关系。说明反模糊子群可以通过权来刻画,并且给出应用权来描述反模糊子群的方法。证明任意一个权都可以确定一个反模糊子群,反之,任意一个反模糊子群也可以确定一个权,权与反模糊子群之间存在一一对应的关系。Properties of anti - fuzzy subgroups are studied based on the introduction of its notion. The relation between weights and anti-fuzzy subgroups is presented by introducing the notion of weight. This shows that anti-fuzzy subgroups can be characterized by making use of weight. Furthermore, a method to describe anti-fuzzy subgroups by weight is given. It is proven that a weight can determine an anti-fuzzy subgroup, and on the contrary, an antifuzzy subgroup also can determine a weight, that is, there exists a one to one relation between weight and anti-fuzzy subgroup.

关 键 词：权 模糊子群 反模糊子群 

分 类 号：O159[理学—数学]