Power Harmonic Weighted Aggregation Operator on Single-Valued Trapezoidal Neutrosophic Numbers and Interval-Valued Neutrosophic Sets

Abstract

The classification of fuzzy sets, intuitionistic fuzzy sets, neutrosophic fuzzy sets have been developed to deal with uncertain, imprecise, incomplete, and inconsistent information data in the real-world situations. Especially the fuzzy numbers are more flexible and suitable to depict the decision information in the process of decision making problem. In multi-criteria decision making (MCDM) And Multi-Criteria Group Decision Making (MCGDM) problems, the aggregation operators play a vital role to deal with these problems. The main contributions of this chapter are to introduce new aggregation operators called Power Harmonic Weighted Aggregation Operator with Single Valued Trapezoidal Neutrosophic Number (PHWAOSVTrNN) and Power Harmonic Weighted Aggregation Operator with Interval-Valued Neutrosophic Set (PHWAOIVNS). To fix the operator on the mount, we have tested these methods in MCDM and the results have been presented.