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

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 ar...

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Vydáno v:International journal of system assurance engineering and management Ročník 15; číslo 2; s. 705 - 712
Hlavní autoři: Tadesse, Admasu, Acharya, M. M., Acharya, Srikumar, Sahoo, Manoranjan
Médium: Journal Article
Jazyk:angličtina
Vydáno: New Delhi Springer India 01.02.2024
Springer Nature B.V
Témata:
Decision making
Engineering
Engineering Economics
Goal programming
Linear programming
Logistics
Marketing
Mathematical analysis
Mathematical models
Mathematical programming
Multiple objective analysis
Objectives
Optimization
Organization
Original Article
Pareto optimum
Production planning
Quadratic programming
Quality Control
Reliability
Safety and Risk
Variables
Fuzzy decision variables
Weighted fuzzy goal programming
Multi-objective programming
Quadratic programming
Fuzzy quadratic programming
Triangular fuzzy number
ISSN:0975-6809, 0976-4348
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Shrnutí: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.
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ISSN:0975-6809
0976-4348
DOI:10.1007/s13198-022-01733-y