An Integrated AHP & DEA Methodology with Neutrosophic Sets

Abstract

As a generalization of intuitionistic fuzzy sets, neutrosophic sets have been developed to represent vague, imprecise, incomplete, and inconsistent information existing in real world. The independent components of a neutrosophic set are truth, indeterminacy, and falsity. In the literature, neutrosophic sets have been employed in the development of new extensions of multiple criteria decision making methods such as neutrosophic TOPSIS and neutrosophic VIKOR. In this chapter, a new Neutrosophic Analytic Hierarchy Process (NAHP) is proposed. Then, neutrosophic AHP is integrated with neutrosophic Data Envelopment Analysis (DEA) for bringing solution to the performance measurement problems. The inputs and outputs of DEA method are weighted by Neutrosophic AHP. The proposed methodology is implemented to solve performance evaluation problem of private universities.