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Some Properties of Fuzzy Compact topological Space

Khadija Mohammed Am hammed Omar, +1 more
- Vol. 18, Iss: 4
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TLDR
The aim of this paper is to use fuzzy finite intersection property to prove some properties of fuzzy compactness, and a continues image of fuzzy Compact space is fuzzy compact is proven.
Abstract: 
Fuzzy topological space is said to be a fuzzy compact if every fuzzy open cover has finite sub cover. The aim of this paper is to use fuzzy finite intersection property to prove some properties of fuzzy compactness. Also, a continues image of fuzzy compact space is fuzzy compact is proven. some numerical examples are given to illustrate the results.

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References
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Journal ArticleDOI

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Krassimir T. Atanassov
- 01 Aug 1986 - 
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.

Intuitionistic Fuzzy Sets

Krassimir T. Atanassov
TL;DR: In this article, a definition of the concept "intuitionistic fuzzy set" (IFS) is given, the latter being a generalization of the Fuzzy Set and an example is described.

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Journal ArticleDOI

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Robert Lowen
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TL;DR: It will be shown in a following publication that contrary to the results obtained up to now, the Tychonoff-product theorem is safeguarded with fuzzy compactness.
Book ChapterDOI

Fuzzy Topological Spaces

John N. Mordeson, +1 more
TL;DR: In mathematics, certain notions of topology are also abstractions of classical concepts in the study of real or complex functions, including open sets, continuity, connectedness, compactness, and metric spaces.