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Extensions of Probability Intuitionistic Fuzzy Aggregation Operators in Fuzzy MCDM/MADM

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  • Gia Sirbiladze

    (Department of Computer Sciences, Iv. Javakhishvili Tbilisi State University, 13, University St., Tbilisi 0186, Georgia)

  • Anna Sikharulidze

    (Department of Computer Sciences, Iv. Javakhishvili Tbilisi State University, 13, University St., Tbilisi 0186, Georgia)

Abstract

New family of intuitionistic fuzzy operators for aggregation of information on interactive criteria/attributes in Multi-Criteria/attributes Decision Making (MCDM/MADM) problems are constructed. New aggregations are based on the Choquet integral and the associated probability class of a fuzzy measure. Propositions on the correctness of the extension are presented. Connections between the operators and the compositions of dual triangular norms (Tp,Sp) and (Tmin,Smin) are described. The conjugate connections between the constructed operators are considered. It is known that when interactions between criteria/attributes are strong, aggregation operators based on Choquet integral reflect these interactions at a certain degree, but these operators consider only consonant structure of criteria/attributes. New operators reflect interactions among all the combinations of the criteria/attributes in the fuzzy MCDM/MADM process. Several variants of new operators are used in the decision making problem regarding the assessment of software development risks.

Suggested Citation

  • Gia Sirbiladze & Anna Sikharulidze, 2018. "Extensions of Probability Intuitionistic Fuzzy Aggregation Operators in Fuzzy MCDM/MADM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 621-655, March.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:02:n:s0219622018500037
    DOI: 10.1142/S0219622018500037
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