Solving multi-objective linear fractional programming problem based on Stanojevic's normalisation technique under fuzzy environment

Maiti, Indrani; Mandal, Tamal; Pramanik, Surapati; Das, Sapan Kumar

doi:10.1504/ijor.2021.119941

Cited by 2 publications

(1 citation statement)

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“…Mishra and Ota [18] provided a novel way of addressing non-linear fractional programming problems based on the variable transformation method and signomial geometric programming technique. Maiti et al [17] suggested a way to solve multi-objective linear fractional programming problems with fuzzy coefficients and fuzzy variables using Taylor series approximation and a normalisation methodology. The idea of fuzzy 𝛼-cut was adopted to defuzzify the model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear fuzzy fractional signomial programming problem: A fuzzy geometric programming solution approach

2023

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Fuzzy fractional signomial programming problem is a relatively new optimization problem. In real world problems, some variables may vacillate because of various reasons. To tackle these vacillating variables, vagueness is considered in form of fuzzy sets. In this paper, a nonlinear fuzzy fractional signomial programming problem is considered with all its coefficients in objective functions as well as constraints are fuzzy numbers. Two solution approaches are developed based on signomial geometric programming comprising nearest interval approximation with parametric interval valued functions and fuzzy α-cut with min-max approach. To demonstrate the proposed methods, two illustrative numerical examples are solved and the results are comparatively discussed showing its feasibility and effectiveness.

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Section: Introductionmentioning

confidence: 99%