(∈,∈∨_q)-区间值模糊子格  

(∈,∈∨_q)-interval Valued Fuzzy Sublattices

作　　者：刘春辉[1,2] 

机构地区：[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

出　　处：《模糊系统与数学》2014年第5期57-64,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10371106)

摘　　要：将区间值模糊集的概念和运算应用于子格概念的研究,引入(∈,∈∨q)-区间值模糊子格的概念并考察它们的基本性质。给出了格L上区间值模糊集成为L的(∈,∈∨q)-区间值模糊子格的若干等价条件;讨论(∈,∈∨q)-区间值模糊子格与子格及(∈,∈∨q)-模糊子格间的相互关系;获得了(∈,∈∨q)-区间值模糊子格的像与原像成为(∈,∈∨q)-区间值模糊子格的条件。In this paper,we study the notion of sublattices by using the concept and operations of interval valued fuzzy sets.The notion of（∈,∈∨q）-interval valued fuzzy sublattices is introduced and its essential properties are investigated.Several equivalent conditions of an interval valued fuzzy set to be（∈,∈∨q）-interval valued fuzzy sublattices are given.The relations between（∈,∈∨q）-interval valued fuzzy sublattices and（∈,∈∨q）-fuzzy sublattices and sublattices are discussed.The conditions for images and inverse images of（∈,∈∨q）-interval valued fuzzy sublattices to be（∈,∈∨q）-interval valued fuzzy sublattices are obtained.

关 键 词：格 子格 (∈ ∈∨q)-区间值模糊子格 像 原像 

分 类 号：O159[理学—数学]