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Title

ON (\epsilon, \epsilon \vee q)-FUZZY IDEALS OF BCI-ALGEBRAS

Year: 1388
COI: JR_IJFS-6-1_006
Language: EnglishView: 32
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Authors

Jianming Zhan - Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province,۴۴۵۰۰۰, P. R. China
Young Bae Jun - Department of Mathematics Education, Gyeongsang National University, Chinju ۶۶۰-۷۰۱, Korea
Bijan Davvaz - Department of Mathematics, Yazd University, Yazd, Iran

Abstract:

The aim of this paper is to introduce the notions of (\epsilon, \epsilon \vee q)-fuzzy p-ideals, (\epsilon, \epsilon \vee q)-fuzzy q-ideals and (\epsilon, \epsilon \vee q)-fuzzy a-ideals in BCIalgebras and to investigate some of their properties. Several characterizationtheorems for these generalized fuzzy ideals are proved and the relationshipamong these generalized fuzzy ideals of BCI-algebras is discussed. It is shownthat a fuzzy set of a BCI-algebra is an (\epsilon, \epsilon \vee q)-fuzzy a-ideal if and only if itis both an (\epsilon, \epsilon \vee q)-fuzzy p-ideal and an (\epsilon, \epsilon \vee q)-fuzzy q-ideal. Finally, the concept of implication-based fuzzy a-ideals in BCI-algebras is introduced and,in particular, the implication operators in Lukasiewicz system of continuousvaluedlogic are discussed.

Keywords:

BCI-algebra , (epsilon , epsilon vee q)-fuzzy (p- , q- and a-) ideal , Fuzzy logic , Implication operator

Paper COI Code

This Paper COI Code is JR_IJFS-6-1_006. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1466577/

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Zhan, Jianming and Jun, Young Bae and Davvaz, Bijan,1388,ON (\epsilon, \epsilon \vee q)-FUZZY IDEALS OF BCI-ALGEBRAS,https://civilica.com/doc/1466577

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