Membership Score of an Interval-Valued Pythagorean Fuzzy Numbers and Its Applications

Abstract

The main aim of the paper is to define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers which can overcome the drawbacks of existing familiar ranking methods. In this paper, firstly, we show the limitations of various ranking functions in ordering/ comparing any two arbitrary interval-valued Pythagorean fuzzy numbers in detail. Secondly, we define a new Membership score function on the class of interval-valued Pythagorean fuzzy numbers and study their properties. Then we compare our proposed method with many other different existing methods for showing the efficacy of the proposed method. Finally, we show the applicability of the proposed Membership score function in solving interval-valued Pythagorean fuzzy multi-criteria decision-making problems using a numerical example. INDEX TERMS Interval-valued Pythagorean fuzzy numbers, improved accuracy score function, membership score function, MCDM.

Location selection for a lumber drying facility via a hybrid Pythagorean fuzzy decision-making approach

“…The interval width provides additional information about the level of uncertainty associated with each element. Incorporating the interval-valued Pythagorean fuzzy set into MCDM methods enhances the quality and reliability of decision outcomes (Alrasheedi and Jeevaraj 2023). In this study, the problem of selecting the most suitable location for a lumber drying facility is formulated as a complex fuzzy MCDM problem.…”