R0-代数的扰动模糊子代数和扰动模糊MP滤子  

Perturbed Fuzzy Subalgebras and Perturbed Fuzzy MP Filters of R-algebras

作　　者：姜曼[1] JIANG Man(School of Public Courses,Xi’an Traffic Engineering Institute,Xi'an 710000,China)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300

出　　处：《模糊系统与数学》2021年第4期40-48,共9页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅科研计划项目(21JK0743)。

摘　　要：把扰动模糊集理论应用在R0-代数上,给出R0-代数的扰动模糊子代数,扰动模糊MP滤子的概念,讨论R0-代数上扰动模糊子代数的等价刻画和扰动模糊MP滤子的若干性质;研究了扰动模糊MP滤子的同态像和逆像。The theory of perturbed fuzzy sets is applied to R0-algebras.The concepts of perturbed fuzzy subalgebras and perturbed fuzzy MP filters of R0-algebras are given. The equivalent characterization of perturbed fuzzy subalgebras on R0-algebras and some properties of perturbed fuzzy MP filters are discussed. The homomorphic and inverse images of perturbed fuzzy MP filters are studied.

关 键 词：扰动模糊集 R0-代数 扰动模糊子代数 扰动模糊MP滤子 

分 类 号：O159[理学—数学]