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Information Journal Paper

Title

REGULAR AG-GROUPOIDS CHARACTERIZED BY (∈,∈∨QK) -FUZZY IDEALS

Pages

  97-113

Keywords

(∈ 
∈∨QK) -FUZZY IDEALS 
(-∈ 
-∈∨-QK)-FUZZY IDEALS 

Abstract

 In this paper, we introduce a considerable machinery which permits us to characterize a number of special (fuzzy) subsets in AG -groupoids. Generalizing the concepts of (Î,ÎÚq) -fuzzy bi-ideals (interior ideal), we define (Î,ÎÚqk)-fuzzy bi-ideals, (Î,ÎÚqk)-fuzzy left (right)-ideals and (Î,ÎÚqk)-fuzzy interior ideals in AG -groupoids and discuss some fundamental aspects of these ideals in AG -groupoids. We further define (`Î,`ÎÚ`qk)-fuzzy bi-ideals and (`Î,`ÎÚ`qk)-fuzzy interior ideals and give some of their basic properties in AG -groupoids. In the last section, we define lower/upper parts of (Î,ÎÚqk)-fuzzy left (resp. right) ideals and investigate some characterizations of regular and intera-regular AG -groupoids in terms of the lower parts of (Î,ÎÚqk) -fuzzy left (resp. right) ideals and (Î,ÎÚqk) -fuzzy bi-ideal of AG -groupoids.

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    • Cite

    APA: Copy

    KHAN, A., SARMIN, N.H., KHAN, F.M., & DAVVAZ, B.. (2012). REGULAR AG-GROUPOIDS CHARACTERIZED BY (∈,∈∨QK) -FUZZY IDEALS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 36(A2), 97-113. SID. https://sid.ir/paper/657024/en

    Vancouver: Copy

    KHAN A., SARMIN N.H., KHAN F.M., DAVVAZ B.. REGULAR AG-GROUPOIDS CHARACTERIZED BY (∈,∈∨QK) -FUZZY IDEALS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2012;36(A2):97-113. Available from: https://sid.ir/paper/657024/en

    IEEE: Copy

    A. KHAN, N.H. SARMIN, F.M. KHAN, and B. DAVVAZ, “REGULAR AG-GROUPOIDS CHARACTERIZED BY (∈,∈∨QK) -FUZZY IDEALS,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 36, no. A2, pp. 97–113, 2012, [Online]. Available: https://sid.ir/paper/657024/en

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