Bi-Level linear programming of intuitionistic fuzzy

In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition of the relationship DM. to obtained adequate solution, DMs will updating the minimal adequate level at upper level permanently, and that is...

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Published in:Soft computing (Berlin, Germany) Vol. 25; no. 13; pp. 8635 - 8641
Main Author: Alessa, Nazek A.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Computational Intelligence
Control
Decision making
Engineering
Fuzzy sets
Fuzzy Systems and Their Mathematics
Linear programming
Mathematical Logic and Foundations
Mathematical programming
Mechatronics
Robotics
Intuitionistic fuzzy
Multi-Objective Linear Programming Problem
90C32
90C99
Satisfying degree
90C29
Bi-Level Linear Fractional Programming
Interactive approach
90C70
ISSN:1432-7643, 1433-7479
Online Access:Get full text
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Summary:In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition of the relationship DM. to obtained adequate solution, DMs will updating the minimal adequate level at upper level permanently, and that is through. Firstly, the decision makers uncertainty is described by introducing the membership function and non-membership function. Secondly, the opting of minimum adequate degree, leads to obtain the adequate solution, with the overall adequate balance considerations among two levels. For more, this paper gives an algorithm of the proposed approach. At the end, we give a numerical example to explain the feasibility of that approach.
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ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-021-05791-5