A chance-constraint programming model with interval-valued pythagorean fuzzy constraints

Article type: Research Article

Authors: Touqeer, Muhammad^{a; *} | Umer, Rimsha^a | Ali, Muhammad Irfan^b

Affiliations: [a] Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan | [b] Islamabad Model College for Girls, F-6/2, Islamabad, Pakistan

Correspondence: [*] Corresponding author. Muhammad Touqeer, Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan. E-mail: [email protected].

Abstract: Pythagorean fuzzy sets and interval-valued Pythagorean fuzzy sets are more proficient in handling uncertain and imprecise information than intuitionistic fuzzy sets and fuzzy sets. In this article, we put forward a chance-constraint programming method to solve linear programming network problems with interval-valued Pythagorean fuzzy constraints. This practice is developed using score function and upper and lower membership functions of interval-valued Pythagorean fuzzy numbers. The feasibility of the anticipated approach is illustrated by solving an airway network application and shown to be used to solve different types of network problems with objective function having interval-valued Pythagorean fuzzy numbers by employing it on shortest path problem and minimum spanning tree problem. Furthermore, a comparative examination was performed to validate the effectiveness and usefulness of the projected methodology.

Keywords: Interval-valued pythagorean fuzzy number (IVPFN), interval-valued trapezoidal pythagorean number (IVTrPFN), linear programming problem (LPP), chance-constraint programming (CCP)

DOI: 10.3233/JIFS-202383

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11183-11199, 2021