Possibility Pythagorean fuzzy soft set and its application

Article type: Research Article

Authors: Jia-hua, Duojie^a | Zhang, Haidong^{a; *} | He, Yanping^b

Affiliations: [a] School of Mathematics and Computer Science, Northwest MinZu University, Lanzhou, Gansu, P. R. China | [b] School of Electrical Engineering, Northwest MinZu University, Lanzhou, Gansu, P. R. China

Correspondence: [*] Corresponding author. Haidong Zhang, School of Mathematics and Computer Science, Northwest MinZu University, Lanzhou, Gansu, 730030, P. R. China. Tel./Fax: +86 9314512202; E-mail: [email protected].

Abstract: In this paper, we propose the theory of possibility Pythagorean fuzzy soft set and define some related the operations concerning this notion including the complement, union, intersection, AND and OR. Then a similarity measure is introduced to compare two possibility Pythagorean fuzzy soft sets for dealing with decision problems. Finally, a practical example is provided to illustrate the validity of this similarity measure in decision making problem.

Keywords: Pythagorean fuzzy soft set, possibility Pythagorean fuzzy soft set, decision making problem

DOI: 10.3233/JIFS-181649

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 413-421, 2019