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

Author

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  • John Robinson P.

    (Bishop Heber College, India)

  • Henry AmirtharajE. C.

    (Bishop Heber College, India)

Abstract

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.

Suggested Citation

  • John Robinson P. & Henry AmirtharajE. C., 2011. "Extended TOPSIS with Correlation Coefficient of Triangular Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 3(3), pages 15-41, July.
    • Handle: RePEc:igg:jdsst0:v:3:y:2011:i:3:p:15-41
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    Cited by:

    1. Animesh Biswas & Samir Kumar, 2019. "Generalization of extent analysis method for solving multicriteria decision making problems involving intuitionistic fuzzy numbers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(4), pages 1142-1166, December.

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