Solving multi level multi-objective linear programming (ML MOLP) problems with fuzzy parameters (FPs)

Making numerous business decisions in complex decentralized organizations can be presented as a ML MOLP problem with FPs expressed as triangular fuzzy numbers. This paper presents a methodology that uses several multi-objective programming methods to solve this problem. The Iskander’s method was use...

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Bibliographic Details
Published in:Croatian Operational Research Review Vol. 14; no. 2; pp. 149 - 161
Main Authors: Babić, Zoran, Hunjak, Tihomir, Perić, Tunjo
Format: Journal Article
Language:English
Published: Zagreb Croatian Operational Research Society (CRORS) 2023
Croatian Operational Research Society
Subjects:
Decentralized control
Decision making
fuzzy parameters
Linear programming
Mathematical programming
multi-level
multi-objective linear programming
Multiple objective analysis
Production planning
ISSN:1848-9931, 1848-0225, 1848-9931
Online Access:Get full text
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Summary:Making numerous business decisions in complex decentralized organizations can be presented as a ML MOLP problem with FPs expressed as triangular fuzzy numbers. This paper presents a methodology that uses several multi-objective programming methods to solve this problem. The Iskander’s method was used for defuzzification of the objective functions and constraints of the problem and a multi-objective programming method based on the cooperation among decision makers was used to determine the aspired values of the variables controlled by the decision-makers and to obtain the preferred non-dominated solution of the entire problem. The efficiency of the proposed methodology was tested on an example of production planning in a complex decentralized company.
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content type line 14
ISSN:1848-9931
1848-0225
1848-9931
DOI:10.17535/crorr.2023.0013