区间值(α,β)-模糊格蕴涵子代数  

Interval-valued(α,β)-fuzzy Lattice Implication Subalgebras

作　　者：刘熠[1,2] 徐扬[2] 秦亚[3] 

机构地区：[1]内江师范学院四川省高等学校数值仿真重点实验室,内江641000 [2]西南交通大学智能控制开发中心,成都610031 [3]内江师范学院数学与信息科学学院,内江641000

出　　处：《计算机科学》2011年第4期263-266,共4页Computer Science

基　　金：国家自然科学基金(60875034);四川省教育厅青年基金(09ZB105)资助

摘　　要：把拟重合的思想应用到区间值模糊集上,引进了一种广义模糊格蕴涵子代数,即区间值(α,β)-模糊格蕴涵子代数。研究了区间值(α,β)-模糊格蕴涵子代数的性质,并研究了区间值(α,β)-模糊格蕴涵子代数与格蕴涵子代数的关系,最后得到了该类模糊子代数的等价刻画。The idea of ＂quasi-coincidence＂ was applied on interval valued fuzzy sets,a new kind of fuzzy lattice implication subalgebras was proposed,called interval valued（α,β）-fuzzy lattice implication subalgebras.Some properties of this new fuzzy lattice implication algebra were investigated.The relations between（α,β）-fuzzy lattice implication subalgebra and lattice implication subalgebras were studied.Some equivalent characterization theorems of interval valued（α,β）-fuzzy lattice implication subalgebras were established.

关 键 词：格蕴涵代数 区间值模糊集 模糊点 (α β)-模糊子代数 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]