A characterization of compact subsets of fuzzy number space

被引：6

作者：

Ghil, BM

Joo, SY

Kim, YK

机构：

[1] Dongshin Univ, Coll Nat Sci, Dept Math, Naju 520714, Chonnam, South Korea

[2] Kangwon Natl Univ, Dept Stat, Chunchon 200701, South Korea

[3] Dongshin Univ, Coll Nat Sci, Dept Math, Naju 520714, Chonnam, South Korea

[4] Sun Moon Univ, Dept Math, Asan 337840, Chungnam, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 123卷 / 02期

关键词：

fuzzy numbers; Skorokhod topology; compact subsets;

D O I：

10.1016/S0165-0114(00)00097-X

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a characterization of compact subsets on the space of fuzzy numbers endowed with the Skorokhod topology is presented. This characterization is an analogue of the Arzela-Ascoli theorem which characterizes compact subsets of the space C[0, 1]. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：191 / 195

页数：5

共 50 条

[21] WEAK COMPACT SUBSETS OF A RIESZ SPACE - PRELIMINARY REPORT
BURKINSHAW, O
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A317 - A317
[22] On the Number of Finite Fuzzy Subsets with Analysis of Integer Sequences
Mohapatra, Rajesh Kumar
Hong, Tzung-Pei
[J]. MATHEMATICS, 2022, 10 (07)
[23] Sequentially compact subsets and monotone functions: An application to fuzzy theory
Font, Juan J.
Sanchis, Manuel
[J]. TOPOLOGY AND ITS APPLICATIONS, 2015, 192 : 113 - 122
[24] Quantum stabilization of compact space by extra fuzzy space
Huang, WH
[J]. PHYSICS LETTERS B, 2002, 537 (3-4) : 311 - 320
[25] PROBLEM OF SUBSETS OF FINITE POSITIVE MEASURE IN SPACE OF COMPACT SUBSETS OF [0,1]
BOARDMAN, E
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1975, 26 (103): : 329 - 332
[26] Platform type fuzzy number and separability of fuzzy number space: Part II
Su, LQ
Li, FC
Luo, SX
[J]. Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9, 2005, : 2568 - 2571
[27] A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with Lp Metric
Zhao, Zhitao
Wu, Congxin
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[28] The Fermat–Steiner Problem in the Space of Compact Subsets of the Euclidean Plane
Galstyan A.H.
[J]. Journal of Mathematical Sciences, 2023, 272 (6) : 791 - 802
[29] A Galerkin approach to optimization in the space of convex and compact subsets of Rd
Rieger, Janosch
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2021, 79 (03) : 593 - 615
[30] Effective domain representations of H(X), the space of compact subsets
Blanck, J
[J]. THEORETICAL COMPUTER SCIENCE, 1999, 219 (1-2) : 19 - 48

← 1 2 3 4 5 →