The theoretical structure of Fuzzy Analytic Network Process (FANP) with Interval Type-2 Fuzzy Sets

Abstract

The Fuzzy Analytic Network Process has solved multi-criteria decision making problems. Type-1 fuzzy sets used defining as expert's linguistic judgement because fuzzy set theory is concerned with uncertainty in human thought and perception. Type-2 fuzzy sets generalized type-1 fuzzy sets so creates more uncertainty while defining membership function. Some fuzzy multi-criteria decision making problems are extended by using type-2 fuzzy sets. Due to general type-2 fuzzy sets are more complicated, it suggested to use interval type-2 fuzzy sets for handling uncertainty. Fuzzy Analytic Network Process (FANP) method is a widely used multi-criteria to handle interaction among the criteria and linguistic variables. In this paper, we propose a new approach which is a fuzzy analytic network process method together with using interval type-2 fuzzy sets. This approach includes linguistic variables in interval type 2 fuzzy sets