Algorithm for Pythagorean Fuzzy Multi-criteria Decision Making Based on WDBA with New Score Function

Article type: Research Article

Authors: Peng, Xindong^{a; b; *}

Correspondence: [*] Address for correspondence: School of Information Science and Engineering, Shaoguan University, Shaoguan, China.

Abstract: In this paper, we initiate some new operators for Pythagorean fuzzy set and discuss their properties in detail. Then, a new score function of Pythagorean fuzzy number (PFN) is proposed for solving the failure problems when comparing two PFNs. Later, we present an algorithm for solving multi-criteria decision making (MCDM) problem based on Weighted Distance Based Approximation (WDBA). Finally, the effectiveness and feasibility of approach is demonstrated by some numerical examples. The salient features of the proposed method, compared to the existing Pythagorean fuzzy decision making methods, are (1) it can derive a ranking without the complex process; (2) it can obtain the optimal alternative without counterintuitive phenomena; (3) it has a great power in distinguishing the optimal alternative.

Keywords: Pythagorean fuzzy set, operators, Pythagorean fuzzy number, score function, multi-criteria decision making, WDBA

DOI: 10.3233/FI-2019-1778

Journal: Fundamenta Informaticae, vol. 165, no. 2, pp. 99-137, 2019