关于完备格上的概率、Fuzzy测度与证据理论  

On Complete Lattice Probability Fuzzy Measures and Evidence Theory

作　　者：蒲义书[1] 

机构地区：[1]陕西理工学院数学与计算机科学系,陕西汉中723000

出　　处：《喀什师范学院学报》2007年第3期5-7,共3页Journal of Kashgar Teachers College

基　　金：陕西理工学院科研基金项目(SLGK0407)

摘　　要：在有补分配完备格上,建立概率、Fuzzy测度与证据理论.讨论了它们的基本特性,给出了三者之间的相互关系.格上的概率与Fuzzy测度类似于通常σ-环上的概率与Fuzzy测度,因为原有的证据理论是在有限集上建立的,为了能在无限格上讨论,现在的定义略有某些差别.On complemented distributive complete lattuce establish probability fuzy measures and evidence theory, discuss their properties and relative. Probability and fuzzy measures of lattice similar with general probability and fuzzy measures of σ- ring. Becaue former evidence theory is for finite sets establish, now definition is different from the former theory.

关 键 词：σ-子格 σ-子格上的概率 σ-子格上的Fuzzy测度 信任函数 似然函数 

分 类 号：O153.1[理学—数学] O211.1[理学—基础数学]