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Dichotomy Algorithms in the Multi-class Problem of Pattern Recognition Read chapter Read first chapter

2020 | OriginalPaper | Chapter

A Fuzzy Linear Programming Approach to Solve Bi-level Multi-objective Linear Programming Problems

Authors : Tunjo Perić, Zoran Babić, Sead Rešić

Published in: Advances in Operational Research in the Balkans

Publisher: Springer International Publishing

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Abstract

This paper presents a new fuzzy linear programming approach to solve bi-level multi-objective linear programming problems. First, we solve all the linear programming models on a given set of constraints. After that, we determine membership functions of the objective functions and of the decision variables at the first level. Later, we determine weights for all the membership functions, and form a fuzzy linear programming model. The solution of the model should be the best one for all decision-makers on both levels. To demonstrate the efficiency of the proposed approach, we solve a business planning problem and compare the obtained results with the ones obtained using fuzzy goal programming methodology.

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Literature
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Metadata
Title
A Fuzzy Linear Programming Approach to Solve Bi-level Multi-objective Linear Programming Problems
Authors
Tunjo Perić
Zoran Babić
Sead Rešić
Copyright Year
2020
Book
Advances in Operational Research in the Balkans

Print ISBN: 978-3-030-21989-5

Electronic ISBN: 978-3-030-21990-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-21990-1_8