Intuitionistic fuzzy dimensional analysis for multi-criteria decision making

Abstract

Dimensional analysis, for multi-criteria decision making, is a math- ematical method that includes diverse heterogeneous criteria into a single di- mensionless index. Dimensional Analysis, in its current defi nition, presents the drawback to manipulate fuzzy information commonly presented in a multi- criteria decision making problem. To overcome such limitation, we propose two dimensional analysis based techniques under intuitionistic fuzzy environ- ments. By the arithmetic operations of intuitionistic fuzzy numbers, we de- scribe the intuitionistic fuzzy dimensional analysis (IFDA) and the aggregated intuitionistic fuzzy dimensional (AIFDA) techniques. In the fi rst technique, we consider only the handling of fuzzy information; and, in the second one we consider both quantitative (crisp) and qualitative (fuzzy) information typically presented together in a decision making problem. To illustrate our approaches, we present some numerical examples and perform some comparisons with other well-known techniques.