Application of Linear Programming in Diet Problem Under Pythagorean Fuzzy Environment

Sapan Kumar Das () and Seyyed Ahmad Edalatpanah ()
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Sapan Kumar Das: Bhawan Annexe
Seyyed Ahmad Edalatpanah: Ayandegan Institute of Higher Education, Department of Applied Mathematics

A chapter in Pythagorean Fuzzy Sets, 2021, pp 315-327 from Springer

Abstract: Abstract In this chapter, we present a novel strategy for solving linear programming (LP) problem under Pythagorean fuzzy (PF) and its application in Diet issue. LP is a part of optimization system which manages linear quantities, i.e., either constraints of linear equation type or inequalities type. In any case, when we consider the pragmatic circumstance, some of the data is unclear for the manager. At this point, LP will be unable to handle satisfactory results for decision-makers. Therefore, PF framework is one of the most proficient ways to deal with managing vulnerability and inadequate information. Maintaining this advantage, in this part we depict the PF arithmetic and scientific computation in PF condition. This proposed technique depends on score function and convert to its proportional crisp LP (CrLP) problem. To legitimize the proposed technique, some numerical tests are given to show the adequacy of the new model. Finally, some conclusion and future works are discussed.

Keywords: Linear programming; Score function; Pythagorean fuzzy number; Crisp problem (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-1989-2_13

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DOI: 10.1007/978-981-16-1989-2_13

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