A modified fuzzy goal programming procedure to solve fully quadratic fractional optimization model

Namrata Rani (), Vandana Goyal () and Deepak Gupta ()
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Namrata Rani: Maharishi Markandeshwar (Deemed to be University)
Vandana Goyal: Maharishi Markandeshwar (Deemed to be University)
Deepak Gupta: Maharishi Markandeshwar (Deemed to be University)

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 11, No 7, 5167-5181

Abstract: Abstract This paper is written to produce and efficient procedure to solve fully quadratic fractional optimization model(FQFOM) involving Trapezoidal Fuzzy Number(TrFN) as fuzzy parameters. Initially, the Fuzzy model is remodelled into a crisp model using $$ \alpha $$ α -cut methodology. In the second phase, a new methodology is given to form non-fractional models for each objective function vector using the concept of normalisation of denominators. Then membership functions and corresponding fuzzy goals are formed using aspiration and tolerance levels. Tolerance level for decision variables is provided by decision-maker units(DMU) to seek a satisfying solution. An algorithm along with flowchart and numerical example is provided to illustrate effectiveness of the proposed methodology. A comparative study is also undertaken to support the feasibility of the approach.

Keywords: $$\alpha $$ α -cut methodology; Decision maker unit(DMU); Fuzzy goal programming(FGP); Membership function; Multi-level multi-objective fully quadratic fractional optimization problem(MLMOFQFOP); Multi-level Programming(MLP); Trapezoidal fuzzy number(TrFN); 00A05; 00A69 (search for similar items in EconPapers)
JEL-codes: C30 C6 C61 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13198-024-02505-6

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