Interval-valued pythagorean fuzzy rough approximation operators and its application

Article type: Research Article

Authors: Yang, Hai-Long^{; *} | Zhou, Jia-Jia

Affiliations: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P.R. China

Correspondence: [*] Corresponding author. Hai-Long Yang. E-mail:yanghailong@snnu.edu.cn.

Abstract: By combining interval-valued Pythagorean fuzzy sets with rough sets, the interval-valued Pythagorean fuzzy rough set model is first constructed in this paper. The connections between special interval-valued Pythagorean fuzzy relations and interval-valued Pythagorean fuzzy approximation operators are established subsequently. Then, we study the axiomatic characterizations of interval-valued Pythagorean fuzzy lower and upper approximation operators. Different axiom sets of interval-valued Pythagorean fuzzy set-theoretic operators ensure the existence of different types of interval-valued Pythagorean fuzzy relations producing the same operators. Finally, we give an example to illustrate the practical application of the newly proposed model.

Keywords: Interval-valued pythagorean fuzzy sets, interval-valued pythagorean fuzzy relations, interval-valued pythagorean fuzzy rough sets, axiomatic characterizations

DOI: 10.3233/JIFS-191539

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3067-3084, 2020