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Information Journal Paper

Title

ON (α, β),-FUZZY ON (α, β),-FUZZY HV-IDEALS OF HV-RINGS

Pages

  35-47

Keywords

HV-RINGQ2
FUZZY HV-IDEALQ2

Abstract

 Using the notion of "belongingness (e)" and "quasi-coincidence (q)" of fuzzy points with FUZZY SETs, we introduce the concept of an (a, b)- fuzzy Hv -ideal of an Hv -ring, where a, b are any two of {e, q, e Vq, e Aq} with a¹e Aq. Since the concept of (e,e Vq)-fuzzy Hv -ideals is an important and' useful generalization of ordinary fuzzy Hv -ideals, we discuss some fundamental aspects of (,e Vq)-fuzzy Hv -ideals. A fuzzy subset A of an Hv -ring R is an (e,e Vq)-fuzzy Rv-ideal if and only if an At, level cut of A, is an Hv -ideal of R, for all t e (0,0.5]. This shows that an (e,eVq)-fuzzy Hv-ideal is a generalization of the existing concept of fuzzy Rv-ideal. Finally, we extend the concept of a fuzzy subgroup with thresholds to the concept of a fuzzy Hv-ideal with thresholds.

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  • Cite

    APA: Copy

    DAVAZ, B., & CORSINI, P.. (2008). ON (α, β),-FUZZY ON (α, β),-FUZZY HV-IDEALS OF HV-RINGS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 5(2), 35-47. SID. https://sid.ir/paper/113362/en

    Vancouver: Copy

    DAVAZ B., CORSINI P.. ON (α, β),-FUZZY ON (α, β),-FUZZY HV-IDEALS OF HV-RINGS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2008;5(2):35-47. Available from: https://sid.ir/paper/113362/en

    IEEE: Copy

    B. DAVAZ, and P. CORSINI, “ON (α, β),-FUZZY ON (α, β),-FUZZY HV-IDEALS OF HV-RINGS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 5, no. 2, pp. 35–47, 2008, [Online]. Available: https://sid.ir/paper/113362/en

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