海南师范大学学报:自然科学版
海南師範大學學報:自然科學版
해남사범대학학보:자연과학판
Journal of Hainan Normal University:Natural Science
2011年
3期
253-256
,共4页
复模糊测度%复模糊值模糊可测函数%复模糊值Choquet模糊积分
複模糊測度%複模糊值模糊可測函數%複模糊值Choquet模糊積分
복모호측도%복모호치모호가측함수%복모호치Choquet모호적분
complex fuzzy Measure%complex fuzzy-valued fuzzy measurable function%complex fuzzy-valued Choquet fuzzy integrals
在复数域上的复模糊测度与复模糊值模糊测度的基础上,给出了复数域上的复区间值函数及复模糊值函数,进而定义了复数域上的复值模糊可测函数及复模糊值模糊可测函数,最终,定义了复数域上的复模糊值Choquet模糊积分,同时研究了该积分的一些基本性质.
在複數域上的複模糊測度與複模糊值模糊測度的基礎上,給齣瞭複數域上的複區間值函數及複模糊值函數,進而定義瞭複數域上的複值模糊可測函數及複模糊值模糊可測函數,最終,定義瞭複數域上的複模糊值Choquet模糊積分,同時研究瞭該積分的一些基本性質.
재복수역상적복모호측도여복모호치모호측도적기출상,급출료복수역상적복구간치함수급복모호치함수,진이정의료복수역상적복치모호가측함수급복모호치모호가측함수,최종,정의료복수역상적복모호치Choquet모호적분,동시연구료해적분적일사기본성질.
In this paper, based on complex fuzzy measure and complex fuzzy-valued fuzzy measure in the complex number field, the complex interval-valued function and complex fuzzy-valued function in the complex number field was proposed. Moreover, complex value fuzzy measurable function and complex fuzzy-valued fuzzy measurable function in the complex number field were defined. Finally, complex fuzzy-valued Choquet fuzzy integrals in the complex number field was introduced, and some properties of this kind of integrals was given.