Elsevier

Fuzzy Sets and Systems

Volume 15, Issue 1, February 1985, Pages 33-44
Fuzzy Sets and Systems

Reduction of fuzzy strict order relations

https://doi.org/10.1016/0165-0114(85)90014-4Get rights and content

Abstract

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.

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