Vague软集的模糊熵和它的一些性质  

Fuzzy Entropy of Vague Soft Sets and Some of its Properties

作　　者：王昌[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《小型微型计算机系统》2012年第7期1564-1567,共4页Journal of Chinese Computer Systems

基　　金：国家自然科学基金项目(11001217;11171271)资助;西北大学研究生自主创新项目(10YZZ05)资助

摘　　要：Vague软集理论被认为是一种新的处理不确定信息的数学工具,而模糊熵又是度量各种不确定信息的重要技术.文章基于Vague集思想和软集思想之间的联系,以及Vague集与软集现有理论,在Vague集模糊熵公理化定义的基础上,初步提出了Vague软集的模糊熵的公理化定义.同时给出了一种Vague软集的模糊熵的计算公式,并在此基础上证明了我们的模糊熵公式具有一些良好的数学性质.所得结果扩展了Vague软集理论的研究范围,并提出了该领域未来可研究的方向.The theory of Vague soft sets can be seen as a new mathematical tool for dealing with uncertainty,and fuzzy entropy is a very important technology for measuring uncertain information.This paper based on the relations between the thought of Vague sets and the thought of soft sets,and the present theory of Vague sets and soft sets are considered,the axiomatic definition of fuzzy entropy of vague soft sets is introduced preliminary based on the axiomatic definition of fuzzy entropy of vague sets.At the same time,a formula have also been put forward to calculate the fuzzy entropy of vague soft sets,furthermore,some good mathematical properties of the formula we presented are studied.These results further extend the scope of the research on Vague soft sets,and propose further study aspect in this field.

关 键 词：VAGUE集 软集 Vague软集 FUZZY集 模糊熵 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]