Dimensional Analysis Under Pythagorean Fuzzy Set with Hesitant Linguists Term Entropy Information

Abstract

Dimensional Analysis (DA) is a method that consider an association of all the criteria involved in a problem, able to capture the interrelationship usually presents in multi-criteria problems. At the same time Pythagorean Fuzzy Set (PFS), is a recent tool used for handling fuzziness and vagueness, due is able to provide greater flexibility for decision makers to give their assessments. In addition, Multi-criteria decision making (MCDM) problems involves criteria predetermined weights and difficulty when information given is unknown or incomplete. This paper proposes the application and combination of three important tools: Dimensional Analysis, Pythagorean fuzzy sets and entropy measure for hesitant fuzzy linguistic term sets (HFLTSs) in order to solve the qualitative criteria, the interrelationship among the multiple criteria, and weights calculation when are unknown. Finally, an example case is given in order to show the functioning of the proposed hybrid method, and comparison with other weight methods