Fuzzy strict order relations and the notion of their reduction are defined. A necessary and sufficient condition is obtained for the transitive closure of the reduction to coincide with the strict order itself. Some possible graph-theoretic significances of these results are discussed in the conclusion. © 1985.

M K CHAKRABORTY

M DAS

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

Reduction of fuzzy strict order relations

Fuzzy Sets and Systems

Fuzzy reflexive, symmetric and transitive relations on fuzzy subsets are studied. Various types of reflexivities and corresponding equivalences are considered. The possible fuzzy partitioning of a fuzzy subset is investigated. © 1983 Elsevier Science Publishers B.V. (North-Holland).

On fuzzy equivalence I

This is the continuation of our previous paper "On Fuzzy Equivalence I". Necessary and sufficient conditions are obtained for various composite fuzzy relations to be similitudes when the components are. In this context the notion of direct sum and co-herence of two relations are introduced. © 1983 Elsevier Science Publishers B.V. (North-Holland).

On fuzzy equivalence II

In this paper a generalisation of fuzzy relations is introduced - fuzzy relations are defined on fuzzy subsets. Properties like ordered reflexivity, symmetry, transitity, transitive closures of such generalised relations and operations on them are discussed. © 1983 North-Holland.

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