新序意义下集值模糊测度的伪自连续性  

Pseudo-autocontinuity of Set-valued Fuzzy Measures in New Order Sense

作　　者：汪彬[1] 王贵君[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《模糊系统与数学》2010年第2期88-92,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60974144)

摘　　要：在m维正欧式空间的子集类上,通过引入集合的新序和依序收敛的概念,讨论新序意义下集值模糊测度的伪自连续、一致伪自连续性,并研究它们的蕴涵关系,从而丰富集值模糊测度的理论。By introducing a new order in the class of subsets of an m-dimensional positive Euclid space and the concept of convergence with respect to the order of sets, pseudo-autocontinuity and pseudo-uniform autocontinuity of the set-valued fuzzy measure are discussed. The implication relationships among them are studied. The obtained results enrich the theory of set-valued fuzzy measures.

关 键 词：集值模糊测度 伪自连续 一致伪自连续 

分 类 号：O159[理学—数学]