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Article type: Research Article
Authors: Akram, Muhammada | Ullah, Inayata | Allahviranloo, Tofighb; * | Edalatpanah, S.A.c
Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan | [b] Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey | [c] Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran
Correspondence: [*] Corresponding author. Tofigh Allahviranloo, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey. E-mail: [email protected].
Abstract: A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider the notions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our proposed method with numerical examples including diet problem.
Keywords: Pythagorean fuzzy linear programming problem, ranking function, LR-type Pythagorean fuzzy numbers
DOI: 10.3233/JIFS-210655
Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 1, pp. 1975-1992, 2021
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