Binary fuzzy goal programming

Goal programming is an important technique for solving many decision/management problems. Fuzzy goal programming involves applying the fuzzy set theory to goal programming, thus allowing the model to take into account the vague aspirations of a decision-maker. Using preference-based membership funct...

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Bibliographic Details
Published in:European journal of operational research Vol. 180; no. 1; pp. 29 - 37
Main Author: Chang, Ching-Ter
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.07.2007
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Applied sciences
Binary programming
Binary system
Decision analysis
Decision making
Decision theory. Utility theory
Exact sciences and technology
Fuzzy programming
Fuzzy sets
Goal programming
Integer programming
Operational research and scientific management
Operational research. Management science
Studies
Binary programming
Fuzzy programming
Goal programming
Membership function
Decision support system
Aspiration
Decision making
Modeling
Fuzzy logic
Integer programming
Preference
Resource constraint
Natural language
Fuzzy set theory
Achievement
ISSN:0377-2217, 1872-6860
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Summary:Goal programming is an important technique for solving many decision/management problems. Fuzzy goal programming involves applying the fuzzy set theory to goal programming, thus allowing the model to take into account the vague aspirations of a decision-maker. Using preference-based membership functions, we can define the fuzzy problem through natural language terms or vague phenomena. In fact, decision-making involves the achievement of fuzzy goals, some of them are met and some not because these goals are subject to the function of environment/resource constraints. Thus, binary fuzzy goal programming is employed where the problem cannot be solved by conventional goal programming approaches. This paper proposes a new idea of how to program the binary fuzzy goal programming model. The binary fuzzy goal programming model can then be solved using the integer programming method. Finally, an illustrative example is included to demonstrate the correctness and usefulness of the proposed model.
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ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2006.03.030