Journal ArticleDOI
A note on compactness in a fuzzy setting
S. Ganguly,S. Saha +1 more
TLDR
Fuzzy filter bases are used to introduce the notion of Compactness in fuzzy setting and the expected basic properties of compactness are explored.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1990-01-03. It has received 23 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Concerning fuzzy grills: some applications
TL;DR: In the first part of this article, the theory of fuzzy grills is developed, and some applications of the obtained results are obtained to the study of fuzzy Compactness, and fuzzy almost compactness, in particular.
Semicompactness in Fuzzy Topological Spaces
TL;DR: It is ultimately show that so far as the mutual relationships among existing allied classes of fuzzy sets are concerned, the class of semicompact fuzzy sets occupies a natural position in the hierarchy.
Journal ArticleDOI
On nearly compact and 0-rigid fuzzy sets in fuzzy topological spaces
M. N. Mukherjee,B. Ghosh +1 more
TL;DR: This paper intends to initiate the study of nearly compact and θ-rigid fuzzy sets in a fuzzy topological space and establishes several characterizations and certain other properties of these two types of fuzzy sets by using the concepts of fuzzy δ-closures and ι-Closures of fuzzy set and fuzzy filterbases.
Journal ArticleDOI
RS-compact fuzzy topological spaces
TL;DR: The purpose of this paper is to introduce and discuss the concept of RS-compactness for fuzzy topological spaces.
Journal ArticleDOI
Fuzzy b- Compact and Fuzzy b-closed Spaces
TL;DR: Form of fuzzy compact spaces namely fuzzy bc ompact spaces, bclosed spaces and fbgcompact spaces wi th the concept of fuzzy bopen set are introduced and some characterization on their properties are obtained.
References
More filters
Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
Journal ArticleDOI
Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence
Pu Pao-Ming,Liu Ying-Ming +1 more
Journal ArticleDOI
Fuzzy topological spaces and fuzzy compactness
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.
Journal ArticleDOI
A Comparison of Different Compactness Notions in Fuzzy Topological Spaces
TL;DR: In this paper, the authors studied the different kinds of compactness notions that have been introduced up to this time and studied the implications that exist between the different notions, and in Section 5 they gave some concluding remarks.