AIMS Mathematics (Jan 2023)

A fuzzy based solution to multiple objective LPP

  • M Junaid Basha,
  • S Nandhini

DOI
https://doi.org/10.3934/math.2023387
Journal volume & issue
Vol. 8, no. 4
pp. 7714 – 7730

Abstract

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This study presents a Fuzzy Multiple Objective Linear Programming Problem (FMOLPP) method to solve the Linear Programming Problem (LPP). Initially Multiple Objective Linear Programming Problem (MOLPP) is solved using Chandra Sen's approach along with various types of mean approaches. Furthermore, FMOLPP is solved using Chandra Sen's approach and various categories of fuzzy mean techniques. The simplex form is used to solve the LPP, where the three-tuple symmetric triangular fuzzy number with the constraints of the fuzzy objective function is considered. We have presented a comparative study of optimum values of MOLPP with optimum values of FMOLPP, to show the significance of our proposed method.

Keywords