Integration of Interval Type-2 Fuzzy sets and Analytic Hierarchy Process: Implication to Computational Procedures

The fuzzy set theory has been developed tremendously since 1965 from a typical notation of single membership of fuzzy sets to the recent footprint of uncertainty of interval type-2 fuzzy sets. It has been successfully integrated with many multi-criteria decision making (MCDM) methods, including analytic hierarchy process (AHP). It seems that fuzzy sets are well-fitted with AHP thereby innovates a version of interval type-2 fuzzy AHP. However, the effect of this integration toward computational procedures of AHP is rarely investigated. This paper describes the integration and investigates its implication to the computational procedures. A numerical example is presented to illustrate the implication.