On the intuitionistic fuzzy topological spaces

被引：318

作者：

Saadati, R

Park, JH

机构：

[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea

[2] Azad Univ, Dept Math, Amol, Iran

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 27卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2005.03.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any G(delta) set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa. Finally, we define intuitionistic fuzzy normed spaces and fuzzy boundedness for linear operators and so we prove that every finite dimensional intuitionistic fuzzy normed space is complete. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：331 / 344

页数：14

共 21 条

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[2]

Amini M., 2004, INT J PURE APPL MATH, V16, P157

[3] On the uncertainty of Cantorian geometry and the two-slit experiment [J].