The concept of filter basis in a fuzzy setting is defined and investigated. Fuzzy filter bases are then used to introduce the notion of compactness in fuzzy setting. The expected basic properties of compactness are explored. © 1990.

S GANGULY

S SAHA

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

A note on compactness in a fuzzy setting

Fuzzy Sets and Systems

In this paper, certain fuzzy separation axioms are studied in terms of the notions of quasi-coincidence, q-neighbourhoods and fuzzy θ-closure operators. Fuzzy T2 and Urysohn spaces are defined, and fuzzy spaces satisfying these axioms are characterized. A (fuzzy) pointwise formulation of a fuzzy T2-axiom of Hutton and Reilly (1980) is found. Fuzzy regularity and almost regularity are investigated yielding various characterizing properties of these spaces. Certain relationships among all those fuzzy separation axioms are also discussed. © 1992.

Separation axioms in fuzzy topological spaces

The paper contains a study of fuzzy θ-closure operator, θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzy δ-closures are investigated. As applications of these concepts, certain functions as well as some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzy θ-closures and δ-closures. © 1991, Hindawi Publishing Corporation. All rights reserved.

Fulltext

International Journal of Mathematics and Mathematical Sciences

Fuzzy Î˜-Closure Operator on Fuzzy Topological Spaces

The paper deals with the study of almost continuous and weakly continuous multifunctions in fuzzy setting. Several characterizations and certain properties of these fuzzy multifunctions along with their mutal relationships are established. Attempts are also made to correlate them with fuzzy lower and upper semi-continuous multifunctions. © 1991.

On almost continuous and weakly continuous fuzzy multifunctions

This paper intends to initiate the study of nearly compact and θ-rigid fuzzy sets in a fuzzy topological space. These two classes of fuzzy sets are seen to be properly contained in the class of fuzzy compact sets and properly contain the class of fuzzy almost compact sets. Several characterizations and certain other properties of these two types of fuzzy sets are established by using the concepts of fuzzy δ-closures and θ-closures of fuzzy sets and fuzzy filterbases. © 1991.

On nearly compact and Î¸-rigid fuzzy sets in fuzzy topological spaces

The paper is devoted to the introduction and study of the concepts of certain classes of functions between fuzzy topological spaces. Each of these functions presents a stronger form of the fuzzy continuous functions. These maps have been characterized and investigated mainly in the light of the notions of q-neighbourhoods, quasi-coincidence, fuzzy δ-closure and ds-neighbourhoods. They have also been compared as to their mutual dependence as also with regard to their interactions with certain other fuzzy non-continuous functions. © 1990.

Some stronger forms of fuzzy continuous mappings on fuzzy topological spaces

Journal of Mathematical Analysis and Applications

Fuzzy Î´-continuous mappings

We introduce and generalise concepts of T;-continuous functions in a fuzzy setting and study them in connection with the fuzzy continuity and fuzzy separation axioms. Some fuzzy topological properties are also investigated under such functions. © 1985.

Journal	Data powered by TypesetFuzzy Sets and Systems
Publisher	Data powered by TypesetELSEVIER SCIENCE BV
ISSN	0165-0114