P-直觉模糊集及其应用  

P-intuitionistic Fuzzy Sets and Its Applications

作　　者：郝秀梅 陈玉婷 李明伟 李箫然 HAOXiu-mei;CHEN Yu-ting;LI Ming-wei;LI Xiao-ran(School ofMathematic and Quantitative Economics,Shandong Universityof Financeand Economics,Jinan250100,China)

机构地区：[1]山东财经大学数学与数量经济学院,山东济南250100

出　　处：《模糊系统与数学》2022年第3期124-130,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71771140)

摘　　要：将P-集合引入到直觉模糊集中,改进了直觉模糊集,提出了P-直觉模糊集。P-直觉模糊集由内P-直觉模糊集、外P-直觉模糊集构成的直觉模糊集对(A^(F),A^(F)),给出了内P-直觉模糊集截集及基数的概念,讨论内P-直觉模糊集区间截集性质及基数定理、给出内、外P-直觉模糊集与直觉模糊集、模糊集的关系定理,最后给出内P-直觉模糊集的应用。By introducing p-sets to intuitionistic fuzzysets,the intuitionistic fuzzysets is improved and P-intuitionistic fuzzy sets was proposed.P-intuitionistic fuzzy sets(A^(F),A^(F))isa pair of sets composed of interior P-intuitionistic fuzzy sets and outer P-intuitionistic fuzzy sets.The concepts are given and discussed on cut sets and cardinal of internal P-intuitionistic fuzzy sets,and the relation theoremsof interior P-intuitionistic fuzzy sets and outer P-intuitionistic fuzzy sets and intuitionistic fuzzy sets fuzzy sets.Finally,the application of internal P-intuitionistic fuzzy sets is given.

关 键 词：直觉模糊集 P-集合 数量特征 截集 粗糙集 

分 类 号：O159[理学—数学]