非对合剩余格的素犹豫模糊理想及其拓扑空间  

Prime Hesitant Fuzzy Ideals in Non-involutive Residuated Lattices and Its Topological Spaces

作　　者：白彦辉 刘春辉 BAI Yan-hui;LIU Chun-hui(School of Mathematics and Computer Science,Chifeng University,Chifeng 024001,China;School of Education Science,Chifeng University,Chifeng 024001,China)

机构地区：[1]赤峰学院数学与计算机科学学院,内蒙古赤峰024001 [2]赤峰学院教育科学学院,内蒙古赤峰024001

出　　处：《模糊系统与数学》2024年第4期53-63,共11页Fuzzy Systems and Mathematics

基　　金：内蒙古自治区高等学校科学研究项目(NJZY22146)。

摘　　要：本文的目的是对非对合剩余格的犹豫模糊理想问题作进一步研究。首先,引入素犹豫模糊理想概念并考察其性质特征,建立并证明了预线性非对合剩余格的素犹豫模糊理想定理;其次,在一个给定非对合剩余格L的全体素犹豫模糊理想之集PHFI(L)上构造了一个拓扑τ,证明了拓扑空间(PHFI(L),τ)是T_(0)空间。The aim of this paper is to further study the problem of hesitant fuzzy ideals in non-involutive residuated lattice.Firstly,The notion of prime hesitant fuzzy ideals on non-involutive residuated lattices is introduced and its properties are investigated.The prime hesitant fuzzy ideal theorem of pre-linearity non-involutive residuated lattices is established and proved.Secondly,a topologyτis constructed on the set PHFI(L)consisting of all prime hesitant fuzzy ideals in a given non-involutive residuated lattice L,It is proved that the topological space(PHFI(L),τ)is a T_(0)-space.

关 键 词：模糊逻辑 非对合剩余格 素犹豫模糊理想 拓扑空间 

分 类 号：O141.1[理学—数学] O153.1[理学—基础数学]