Two-person zero-sum game approach for fuzzy multiple attribute decision making problems

The Multiple Attribute Decision Making (MADM) problem deals with candidate priority alternatives with respect to various attributes. MADM techniques are popularly used in diverse fields such as engineering, economics, management science, transportation planning, etc. Several approaches have been dev...

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Bibliographic Details
Published in:Fuzzy sets and systems 2006, Vol.157 (1), p.34-51
Main Authors: Chen, Yuh-Wen, Larbani, Moussa
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Control theory. Systems
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Fuzzy
Game
Information, signal and communications theory
Management of Technology (MOT)
Mathematical methods
Miscellaneous
Multiple Attribute Decision Making (MADM)
System theory
Telecommunications and information theory
Theoretical computing
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Summary:The Multiple Attribute Decision Making (MADM) problem deals with candidate priority alternatives with respect to various attributes. MADM techniques are popularly used in diverse fields such as engineering, economics, management science, transportation planning, etc. Several approaches have been developed for assessing the weights of MADM problems, e.g., the eigenvector method, ELECTRE, TOPSIS, etc. In this paper, we obtained weights of a MADM problem with a fuzzy decision matrix by formulating it as a two-person zero-sum game with an uncertain payoff matrix. Moreover, the equilibrium solution and the resolution method for the MADM game have also been developed; these results are validated by a product development example of nano-materials. Our study is an innovative approach for applying the game theory on MADM problems with management of technology (MOT).
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2005.06.004