Title of article :
Generalized Fuzzy h-Ideals of Hemirings
Author/Authors :
Ma, Xueling Hubei University for Nationalities - Department of Mathematics, China , Zhan, Jianming Hubei University for Nationalities - Department of Mathematics, China , Shum, Kar Ping University of Hong Kong - Department of Mathematics, China
Abstract :
The concept of (∈,∈∨q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈,∈∨q)-fuzzy righth-ideal F and (∈,∈∨q)-fuzzy left h-ideal G, F∘0.5G=F∩0.5G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is considered.
Keywords :
(H , hemiregular) hemiring, h , ideal, (∈ , ∈v q) , fuzzy h , ideal, (∈ , ∈ v q) , fuzzy h , ideal, implication , based fuzzy h , ideal
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society