On fuzzy h-ideals in hemirings

Authors:
Young Bae Jun;Mehmet Ali Öztürk;Seok Zun Song
Affiliations:
Department of Mathematics Education, Gyeongsang National University, Chinju (Jinju) 660-701, South Korea;Department of Mathematics, Faculty of Arts and Sciences, Cumhuriyet University, 58140 Sivas, Turkey;Department of Mathematics, Cheju National University, Cheju 690-756, South Korea
Venue:
Information Sciences: an International Journal
Year:
2004

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Abstract

The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated. Using a collection of left h-ideals of a hemiring S, fuzzy left h-ideals of S are established. The notion of a finite valued fuzzy left h-ideal is introduced, and its characterization is given. Fuzzy relations on a hemiring S are discussed.