Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem

Admasu Tadesse (), M. M. Acharya (), Srikumar Acharya () and Manoranjan Sahoo ()
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Admasu Tadesse: KIIT University
M. M. Acharya: KIIT University
Srikumar Acharya: KIIT University
Manoranjan Sahoo: KIIT University

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 2, No 10, 705-712

Abstract: Abstract The focus of this paper is to suggest a solution methodology for a fully fuzzy multi-objective quadratic programming problem. Solving the provided mathematical model using known classical methods is extremely difficult. To solve the present mathematical programming problem, three major approaches are suggested. In first step, we used arithmetic operations between two fuzzy parameters and variables. The importance is given in the next step to handle fuzzy part of objective functions by ranking functions and after the completion of the second step, the fuzzy part of the fuzzy constraints tackled by the inequality property of between two triangular fuzzy numbers. Finally, the transformed multi-objective quadratic mathematical programming problem is solved using a weighted fuzzy goal programming approach. The final solution of the suggested model is derived using existing methodology and softwares. The working procedures of the proposed method is further discussed using numerical example.

Keywords: Multi-objective programming; Triangular fuzzy number; Weighted fuzzy goal programming; Fuzzy decision variables; Quadratic programming; Fuzzy quadratic programming (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13198-022-01733-y

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