E-凸Fuzzy集和E-反凸Fuzzy集

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

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.