Lattice structure on fuzzy congruence relations of a hypergroupoid

Authors:
M. Bakhshi;R. A. Borzooei
Affiliations:
Department of Mathematics, Shahid Beheshti University, Tehran, Iran and Fuzzy Sets and Its Applications Center of Excellence, Shahid Bahonar University of Kerman, Kerman, Iran;Department of Mathematics, Shahid Beheshti University, Tehran, Iran and Fuzzy Sets and Its Applications Center of Excellence, Shahid Bahonar University of Kerman, Kerman, Iran
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

In this manuscript, we first define the notion of fuzzy (left, right) congruence relation on a hypergroupoid and then we investigate the lattice structure of the set of these fuzzy relations. Finally, we show that a special class of fuzzy equivalence relations on the hypergroupoid forms a distributive lattice.