The aim of this paper is to introduce and characterize the concept of fuzzy irresolute functions which is strictly stronger than the concept of fuzzy semi-continuous functions and independent of the concept of fuzzy continuous functions. The independence of the two definitions of fuzzy almost open functions as introduced in [5] and [3] and some of their characterizations are also established. © 1989.

M N MUKHERJEE

S P SINHA

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

Irresolute and lmost open functions between fuzzy topological spaces

Fuzzy Sets and Systems

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

Concepts of semi-Ti (i = 0, 1, 2) spaces and semi-Ri (i = 0, 1) spaces are introduced and some fuzzy topological properties are investigated under the above mentioned axioms. Some mappings involving semi-open sets on fuzzy topological spaces are also introduced and investigated. © 1986.

Journal	Fuzzy Sets and Systems
Publisher	-
ISSN	0165-0114