佳木斯大学学报(自然科学版)
佳木斯大學學報(自然科學版)
가목사대학학보(자연과학판)
JOURNAL OF JIAMUSI UNIVERSITY (NATURAL SCIENCE EDITION)
2014年
4期
617-618,621
,共3页
李选海%刘锋%范传强
李選海%劉鋒%範傳彊
리선해%류봉%범전강
凹模糊集%凸直觉模糊集%E-广义凸模糊集%E-广义凹模糊集%E-广义凸直觉模糊集
凹模糊集%凸直覺模糊集%E-廣義凸模糊集%E-廣義凹模糊集%E-廣義凸直覺模糊集
요모호집%철직각모호집%E-엄의철모호집%E-엄의요모호집%E-엄의철직각모호집
concave fuzzy set%convex intuitionistc fuzzy set%E-generalized convex fuzzy set%E-gen-eralized concave fuzzy set%E-generalized convex Intuitionistc fuzzy set
凸集及其性质是最优化领域的一个重要研究课题。同样,凸模糊集也是模糊数学中研究的一个热点。本文通过将E-广义凸模糊集、凹模糊集和凸直觉模糊集相结合,定义了E-广义凹模糊集和E-广义凸直觉模糊集,并根据定义对它们的基本性质做了研究,从而推广了凸模糊集和反凸模糊集,并且引出一个相对较新的研究方向和领域。
凸集及其性質是最優化領域的一箇重要研究課題。同樣,凸模糊集也是模糊數學中研究的一箇熱點。本文通過將E-廣義凸模糊集、凹模糊集和凸直覺模糊集相結閤,定義瞭E-廣義凹模糊集和E-廣義凸直覺模糊集,併根據定義對它們的基本性質做瞭研究,從而推廣瞭凸模糊集和反凸模糊集,併且引齣一箇相對較新的研究方嚮和領域。
철집급기성질시최우화영역적일개중요연구과제。동양,철모호집야시모호수학중연구적일개열점。본문통과장E-엄의철모호집、요모호집화철직각모호집상결합,정의료E-엄의요모호집화E-엄의철직각모호집,병근거정의대타문적기본성질주료연구,종이추엄료철모호집화반철모호집,병차인출일개상대교신적연구방향화영역。
The convex set and its properties are important research topics in the area of optimization .Sim-ilarly, the convex fuzzy set is a hot spot in fuzzy mathematics .The definitions of E-generalized concave fuzzy set and E-generalized convex intuitionistc fuzzy set were given by combining with E -generalized convex fuzzy set.Concave fuzzy set and convex intuitionistc fuzzy set in the related references , and some fundamental proper-ties of E-generalized concave fuzzy set and E -generalized convex intuitionistc fuzzy set were discussed in this paper, which expands the E -generalized convex fuzzy set and leads to a relatively new research direction and field.