A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables

This article presents a fuzzy multi-objective linear fractional programming (FMOLFP) problem. The goal programming (GP) approach is used to solve the proposed problem. The LR (Left and Right) possibilistic variables are addressed to the suggested the fuzzy multi-objective linear fractional programmi...

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Bibliographic Details
Published in:International journal of system assurance engineering and management Vol. 13; no. 4; pp. 2053 - 2061
Main Authors: Khalifa, Hamiden Abd El- Wahed, Kumar, Pavan
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.08.2022
Springer Nature B.V
Subjects:
Engineering
Engineering Economics
Goal programming
Logistics
Marketing
Mathematical programming
Organization
Original Article
Quality Control
Reliability
Safety and Risk
Fuzzy number
Fractional programming
Possibilistic variables
Optimal solution
Possibility distribution
Goal programming
ISSN:0975-6809, 0976-4348
Online Access:Get full text
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Summary:This article presents a fuzzy multi-objective linear fractional programming (FMOLFP) problem. The goal programming (GP) approach is used to solve the proposed problem. The LR (Left and Right) possibilistic variables are addressed to the suggested the fuzzy multi-objective linear fractional programming (FMOLFP) model to deal the uncertainty of the model parameters. An auxiliary model in which objective function is the distance between the p - ary α - optimal value restriction and p - ary fuzzy objective function is proposed. In the last, one solved example is given to illustrate and to support the validity of the suggested approach.
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ISSN:0975-6809
0976-4348
DOI:10.1007/s13198-022-01618-0