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

  • Authors:
  • John Robinson P.;Henry AmirtharajE. C.

  • Affiliations:
  • Bishop Heber College, India;Bishop Heber College, India

  • Venue:
  • International Journal of Decision Support System Technology
  • Year:
  • 2011

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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.