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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Published in:International journal of system assurance engineering and management Vol. 15; no. 2; pp. 705 - 712
Main Authors: Tadesse, Admasu, Acharya, M. M., Acharya, Srikumar, Sahoo, Manoranjan
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.02.2024
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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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.
AbstractList 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.
Author Acharya, M. M.
Sahoo, Manoranjan
Tadesse, Admasu
Acharya, Srikumar
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  fullname: Sahoo, Manoranjan
  organization: Department of Mathematics, School of Applied Sciences, KIIT University
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Copyright The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2022
The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2022.
Copyright_xml – notice: The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2022
– notice: The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2022.
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Issue 2
Keywords Fuzzy decision variables
Weighted fuzzy goal programming
Multi-objective programming
Quadratic programming
Fuzzy quadratic programming
Triangular fuzzy number
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Snippet The focus of this paper is to suggest a solution methodology for a fully fuzzy multi-objective quadratic programming problem. Solving the provided mathematical...
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SubjectTerms 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
Title Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem
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