Fuzzy compactness via summability

被引：59

作者：

Cakalli, Hueseyin ^{[2
]}

Das, Pratulananda ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

[2] Maltepe Univ, Dept Math, TR-34857 Istanbul, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 11期

关键词：

Fuzzy point; Fuzzy convergence; G-Fuzzy sequentially closed; G-Fuzzy sequential compactness; LACUNARY STATISTICAL CONVERGENCE; SEQUENTIAL DEFINITIONS; TOPOLOGY; SETS;

D O I：

10.1016/j.aml.2009.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fuzzy subset alpha of a fuzzy topological space is fuzzy sequentially compact if any sequence x = (lambda(chi n)(an)) of fuzzy points in alpha has a generalized fuzzy subsequence which is fuzzy convergent in alpha. More generally we say that a fuzzy subset alpha of a fuzzy topological space X is G-fuzzy sequentially compact if any sequence x = (lambda(chi n)(an)) of fuzzy points in alpha has a generalized fuzzy subsequence y such that G(y) is an element of alpha or where G is a function from a suitable subset of the set of all sequences of fuzzy points in X. We investigate some of the basic properties of this compactness and suggest some open problems. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1665 / 1669

页数：5

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