Extensions of fuzzy hyperideals in HV-semigroups

Authors:
B. Davvaz
Affiliations:
Yazd University, Department of Mathematics, Yazd, Iran
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2007

Citing 0
Cited 2

Generalized fuzzy polygroups endowed with interval valued membership functions

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A study on intuitionistic fuzzy sets in Γ-semihypergroups

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

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Abstract

The object of the present paper is the investigation and study of (fuzzy) hyperideals in Hv- semigroups. Regular equivalence relations play in Hv- semigroup theory a role analogous to congruences in semigroup theory, so we introduce fuzzy regular equivalence relations on Hv-semigroups and then we study fuzzy Rees regular relations on Hv-semigroups. Using this ideas, we establish a relation between fuzzy hyperideal of an Hv-semigroup H and fuzzy hyperideal of a quotient Hv-semigroup of H. Some characterizations of them are then shown.