Intuitionistic fuzzy multiple attributes decision making method based on entropy and correlation coefficient

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.

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A robust correlation coefficient measure of complex intuitionistic fuzzy sets and their applications in decision-making

Applied Intelligence ◽

10.1007/s10489-018-1290-3 ◽

2018 ◽

Vol 49 (2) ◽

pp. 496-512 ◽

Cited By ~ 31

Author(s):

Harish Garg ◽

Dimple Rani

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Correlation Coefficient ◽

Intuitionistic Fuzzy Sets ◽

Intuitionistic Fuzzy ◽

Correlation Coefficient Measure

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Extended TOPSIS with Correlation Coefficient of Triangular Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making

International Journal of Decision Support System Technology ◽

10.4018/jdsst.2011070102 ◽

2011 ◽

Vol 3 (3) ◽

pp. 15-41 ◽

Cited By ~ 17

Author(s):

John Robinson P. ◽

Henry AmirtharajE. C.

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Correlation Coefficient ◽

Group Decision Making ◽

Group Decision ◽

Intuitionistic Fuzzy Sets ◽

Weighted Averaging ◽

Intuitionistic Fuzzy ◽

Multiple Attribute ◽

Magdm Problems

This paper extends the technique for order preference by similarity to ideal solution (TOPSIS) for solving multi-attribute group decision making (MAGDM) problems under triangular intuitionistic fuzzy sets by using its correlation coefficient. In situations where the information or the data is of the form of triangular intuitionistic fuzzy numbers (TIFNs), some arithmetic aggregation operators have to be defined, namely the triangular intuitionistic fuzzy ordered weighted averaging (TIFOWA) operator and the triangular intuitionistic fuzzy hybrid aggregation (TIFHA) operator. An extended TOPSIS model is developed to solve the MAGDM problems using a new type of correlation coefficient defined for TIFNs based on the triangular intuitionistic fuzzy weighted arithmetic averaging (TIFWAA) operator and the TIFHA operator. With an illustration this proposed model of MAGDM with the correlation coefficient of TIFNs is compared with the other existing methods.

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