E-凸Fuzzy集和E-反凸Fuzzy集  

E-convex Fuzzy Set and E-anti-convex Fuzzy Set

作　　者：刘卫锋[1] 

机构地区：[1]郑州航空工业管理学院数理系,河南郑州450015

出　　处：《模糊系统与数学》2014年第1期33-38,共6页Fuzzy Systems and Mathematics

基　　金：航空科学基金资助项目(2013ZD55006);河南省高等学校青年骨干教师资助计划项目(2013GGJS-142)

摘　　要：研究了广义凸Fuzzy集和广义反凸Fuzzy集以及它们的性质。通过将凸Fuzzy集和E-凸集相结合,提出了一种新的广义凸Fuzzy集———E-凸Fuzzy集,使得凸Fuzzy集成为它的特例,并对E-凸Fuzzy集的性质进行了初步研究。然后,类似地,通过将反凸Fuzzy集和E-凸集相结合,提出了一种新的广义反凸Fuzzy集———E-反凸Fuzzy集,使得反凸Fuzzy集成为它的特例,并对E-反凸Fuzzy集的性质进行了初步研究。Generalized convex fuzzy set, generalized anti-convex fuzzy set and their properties are researched in this paper. A new generalized convex fuzzy set called E--convex fuzzy set is proposed by combining E--convex set with convex fuzzy set, so that convex fuzzy set was made particular case, and some properties of E--convex fuzzy set are investigated primarily. Then, similarly, by combining E--convex set with anti-convex fuzzy set, a new generalized convex fuzzy set called E--anti-convex fuzzy set is proposed, so that anti-convex fuzzy set was made particular case, and some properties of E--anti-convex fuzzy set are investigated primarily.

关 键 词：凸Fuzzy集 反凸Fuzzy集 E-凸Fuzzy集 E-反凸Fuzzy集 E-凸集 

分 类 号：O159[理学—数学]