Convergences of sequences of set-valued and fuzzy-set-valued functions

被引：2

作者：

Jang, LC

Kwon, JS

机构：

[1] Sun Moon Univ, Dept Math, Tangjeongmyun Asan 336840, Chung Nam, South Korea

[2] Konkuk Univ, Dept Math Appl, Chungju, Chungbuk, South Korea

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 93卷 / 02期

关键词：

set-valued function; fuzzy-set-valued function; convergence; metrics; expectation; Lebesgue-dominated convergence theorem;

D O I：

10.1016/S0165-0114(96)00187-X

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We define some metrics on the space of integrably bounded multivalued functions and the space of integrably bounded fuzzy random variables with values in a separable Banach space. We also define various convergence of sequences of set-valued and fuzzy-set-valued functions. We investigate relationships among those convergences. Finally, we obtain Lebesgue-dominated convergence theorem for a sequence of fuzzy random variables. (C) 1998 Elsevier Science B.V.

引用

页码：241 / 246

页数：6

共 11 条

[1] INTEGRALS OF SET-VALUED FUNCTIONS [J].