Group decision making based Abstract on novel trapezoidal intuitionist fuzzy TOPSIS

Abstract

In this paper, a novel intuitionist fuzzy TOPSIS method for groupdecision making will be presented. In this method the preferencevalues for an alternative on criteria and the weight values of criteriaare given by experts, using linguistic values of trapezoidal intuitionistfuzzy numbers, and weights of decision makers’ opinions areunknown. In proposed method, expected values and weightedaveraging operator for trapezoidal intuitionist fuzzy numbers are usedto induce the weight values of criteria and decision makers’ opinions.Then an algorithm for ranking alternatives is presented undertrapezoidal intuitionist fuzzy environment. Finally, using a numericalexample, the efficiency of new extended TOPSIS method isinvestigated.

Keywords

• sis
• trapezoidal intuitionist fuzzy numbers
• group decision making
• weighted averaging operator