A search for the correlation coefficient of triangular and trapezoidal intuitionistic fuzzy sets for multiple attribute group decision making

Abstract

This paper introduces a new technique for defining the correlation coefficient of triangular and trapezoidal intuitionistic fuzzy sets for solving Multi-attribute Group Decision Making (MAGDM) problems. In situations where the information or the data is of the form of triangular or trapezoidal intuitionistic fuzzy numbers, some arithmetic aggregation operators, namely the trapezoidal intuitionistic fuzzy ordered weighted averaging (TzIFOWA) operator and the trapezoidal intuitionistic fuzzy hybrid aggregation (TzIFHA) operator are utilized. A new model is developed to solve the MAGDM problems using a new type of correlation coefficient defined for trapezoidal intuitionistic fuzzy sets based on the trapezoidal intuitionistic fuzzy weighted arithmetic averaging (TzIFWAA) operator and the TzIFHA operator. © 2012 Springer-Verlag.