The present paper deals with the perfect functions in fuzzy setting. Fuzzy filter bases of fuzzy sets are also studied vis-à-vis such functions. Finally, certain fuzzy topological properties are taken up for their study with regard to fuzzy perfect functions. © 1995.

B GHOSH

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

Directed family of fuzzy sets and fuzzy perfect maps

Fuzzy Sets and Systems

The aim of the paper is to investigate the fuzzy semiregularization spaces associated with fuzzy topological spaces. The concept of fuzzy submaximal spaces is introduced and it is proved that corresponding to every fuzzy topological space, there always exists a fuzzy submaximal space which is an expansion of the given space. Fuzzy submaximal and semiregular spaces are shown to be closely associated with those spaces which are minimal or maximal with respect to certain types of properties which we call fuzzy semiregular properties. This has induced us to take up different properties for investigation whether these are fuzzy semiregular ones. Lastly we consider certain mappings between fuzzy topological spaces and study their behaviour when either or both the domain and codomain spaces are replaced by their semiregulatization spaces. © 1991.

Fuzzy semiregularization topologies and fuzzy submaximal 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 concepts of fuzzy almost-strongly θ-continuous, fuzzy θ-continuous, fuzzy weekly δ-continuous and fuzzy weakly θ-continuous are introduced and studied in the light of the concept of q-coincidence in a fuzzy setting. Together with the concept of q-neighbourhoods, the notions of fuzzy θ-neighbourhoods and fuzzy δ-neighbourhoods are defined to investigate the characterizations and properties of these functions. Finally, a comparative study regarding the mutual interrelations among these maps along with fuzzy continuous maps is made. © 1990.

On some near-fuzzy continuous functions between fuzzy topological spaces

The study of almost compact fuzzy topological spaces was initiated by Concilio and Gerla [4], which was followed by further investigations of the same in [11]. The present paper aspires for an extension of the same concept to fuzzy sets in a fuzzy topological space. We characterize almost compact fuzzy sets in terms of the concept of fuzzy filterbase. Some properties of such sets are established using the concepts of fuzzy ds-closure and fuzzy ds-cluster points of fuzzy filterbase. © 1990.

Almost compact fuzzy sets in fuzzy topological spaces

The aim of the paper is mainly to study and to find different characterizations of semi-continuous and semi-closed mappings between fuzzy topological spaces. The notion of fuzzy semi-open sets is used to define fuzzy Ti-spaces (i = 0, 1, 2) and these spaces are investigated under fuzzy semi-continuity. Finally, fuzzy semi-connectedness is introduced and studied to some extent. © 1990.

Journal	Fuzzy Sets and Systems
Publisher	-
ISSN	0165-0114