MAGDM Problems with Correlation Coefficient of Triangular Fuzzy IFS

John P. Robinson and Henry Amirtharaj E.C.
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John P. Robinson: Bishop Heber College, Tamilnadu, India
Henry Amirtharaj E.C.: Bishop Heber College, Tamilnadu, India

International Journal of Fuzzy System Applications (IJFSA), 2015, vol. 4, issue 1, 1-32

Abstract: Correlation coefficient of Intuitionistic Fuzzy Set (IFS), Interval valued IFS, Triangular IFS and Trapezoidal IFS are already present in the literature. This paper proposes the correlation coefficient for Triangular Fuzzy Intuitionistic Fuzzy set (TrFIFS). The method on uncertain Multiple Attribute Group Decision Making (MAGDM) problems based on aggregating intuitionistic fuzzy information is investigated for TrFIFSs. The Triangular Fuzzy Intuitionistic Fuzzy Ordered Weighted Averaging (TrFIFOWA) operator is proposed for TrFIFSs and the Triangular Fuzzy Intuitionistic Fuzzy Ordered Weighted Geometric (TrFIFOWG) operator is utilized for decision making models where expert weights are completely unknown. Based on these operators and the correlation coefficient defined for the TrFIFSs, new decision making models are proposed with numerical illustrations. Some comparisons are also made with existing ranking methods for validity.

Date: 2015
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