ON (Î,ÎVQ)-FUZZY 
IDEALS OF BCI-ALGEBRAS

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ZHAN G.; JUN Y.B.; DAVAZ B.

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Journal: Iranian Journal of Fuzzy Systems Year:2009 | Volume:6 | Issue:1 Page(s): 81-94

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Information Journal Paper

Title

ON (Î,ÎVQ)-FUZZY IDEALS OF BCI-ALGEBRAS

Author(s)

ZHAN G. | JUN Y.B. | DAVAZ B. | Issue Writer Certificate

Keywords

BCI-AIGEBRAQ2

(Q2

VQ)-FUZZY (P-Q2

Q- AND A-) IDEALQ2

FUZZY LOGICQ2

IMPLICATION OPERATORQ2

Abstract

The aim of this paper is to introduce the notions of (Î,ÎVq)- fuzzy p-ideals, (Î,Î Vq)-fuzzy q-ideals and (Î,ÎVq)-fuzzy a-ideals in BCI-algebras and to investigate some of their properties. Several characterization theorems for these generalized fuzzy ideals are proved and the relationship among these generalized fuzzy ideals of BCI-algebras is discussed. It is shown that a fuzzy set of a BCI-algebra is an (Î,ÎVq)-fuzzy a-ideal if and only if it is both an (Î,ÎVq)-fuzzy p-ideal and an (Î,ÎVq)-fuzzy q-ideal. Finally, the concept of implication-based fuzzy a-ideals in BCI-AIGEBRAs is introduced and, in particular, the implication operators in Lukasiewicz system of continuous valued logic are discussed.

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APA: Copy

ZHAN, G., JUN, Y.B., & DAVAZ, B.. (2009). ON (Î,ÎVQ)-FUZZY IDEALS OF BCI-ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(1), 81-94. SID. https://sid.ir/paper/113260/en

Vancouver: Copy

ZHAN G., JUN Y.B., DAVAZ B.. ON (Î,ÎVQ)-FUZZY IDEALS OF BCI-ALGEBRAS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(1):81-94. Available from: https://sid.ir/paper/113260/en

IEEE: Copy

G. ZHAN, Y.B. JUN, and B. DAVAZ, “ON (Î,ÎVQ)-FUZZY IDEALS OF BCI-ALGEBRAS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 1, pp. 81–94, 2009, [Online]. Available: https://sid.ir/paper/113260/en

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