Embedding problem of noncompact fuzzy number space E∼ -: (I)

被引：36

作者：

Wu, CX ^{[1
]}

Zhang, BK ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 1999年 / 105卷 / 01期

关键词：

fuzzy number; fuzzy analysis; noncompact fuzzy number space; embedding;

D O I：

10.1016/S0165-0114(97)00218-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the embedding j in Wu Congxin and Ma Ming (1991) from fuzzy number space E-1 into a concrete Banach space (C) over bar[0, 1] x (C) over bar[0, 1] is extended to a more general case, i.e. j(similar to) from noncompact fuzzy number space E-similar to into the Frechet space C-similar to(0, 1] x C-similar to(0, 1]. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：165 / 169

页数：5

共 6 条

[1] ELEMENTARY FUZZY CALCULUS [J].

GOETSCHEL, R ;

VOXMAN, W .

FUZZY SETS AND SYSTEMS, 1986, 18 (01) :31-43

[2] ON EMBEDDING PROBLEMS OF FUZZY NUMBER SPACES .4. [J].

MING, M .

FUZZY SETS AND SYSTEMS, 1993, 58 (02) :185-193

[3]

SCHAEFER HH, 1971, TOPOLOGICAL VECTOR S, P48

[4]

WU CX, 1991, FUZZY SET SYST, V44, P33, DOI 10.1016/0165-0114(91)90030-T

[5] Embedding problem of fuzzy number space. Part II [J].

Wu, Congxin ;

Ma, Ming .

Fuzzy Sets and Systems, 1992, 45 (02)

[6]

WU CX, 1992, FUZZY SET SYST, V46, P281, DOI 10.1016/0165-0114(92)90142-Q

← 1 →