An Interactive Intuitionistic Fuzzy Method for Multilevel Linear Programming Problems

In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfa...

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Bibliographic Details
Published in:Wuhan University journal of natural sciences Vol. 20; no. 2; pp. 113 - 118
Main Authors: Huang, Chan, Fang, Debin, Wan, Zhongping
Format: Journal Article
Language:English
Published: Wuhan Wuhan University 01.04.2015
Subjects:
Biomedical and Life Sciences
Computer Science
Fuzzy
Fuzzy logic
Fuzzy set theory
Interactive
Life Sciences
Linear programming
Materials Science
Mathematical analysis
Mathematical models
Mathematics
Multilevel
O 221
satisfying degree
multilevel linear programming
intuitionistic fuzzy
interactive method
ISSN:1007-1202, 1993-4998
Online Access:Get full text
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Summary:In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfactory solution is derived by updating the minimum satisfactory degrees with considerations of the overall satisfactory balance among all levels. In addition, the steps of the proposed method are given in this paper. Finally, numerical examples illustrate the feasibility of this method.
Bibliography:intuitionistic fuzzy; multilevel linear programming;interactive method; satisfying degree
In this paper, we propose an interactive method for solving the multilevel linear programming problems based on the intuitionistic fuzzy set theory. Firstly, the membership function and the non-membership function are introduced to describe the uncertainty of the decision makers. Secondly, a satisfactory solution is derived by updating the minimum satisfactory degrees with considerations of the overall satisfactory balance among all levels. In addition, the steps of the proposed method are given in this paper. Finally, numerical examples illustrate the feasibility of this method.
42-1405/N
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SourceType-Scholarly Journals-1
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ISSN:1007-1202
1993-4998
DOI:10.1007/s11859-015-1068-y