Game theory has already proved its tremendous potential for con?ict
resolution problems in the ?elds of Decision Theory and Economics.
In the recent past, there have been attempts to extend the results
of crisp game theory to those con?ict resolution problems which are
fuzzy in nature e.g. Nishizaki and Sakawa [61] and references cited
there in. These developments have lead to the emergence of a new
area in the literature called fuzzy games. Another area in the
fuzzy decision theory, which has been growing very fast is the area
of fuzzy mathematical programming and its applications to various
branches of sciences, Engineering and Management. In the crisp
scenario, there exists a beautiful relationship between two person
zero sum matrix game theory and duality in linear p- gramming. It
is therefore natural to ask if something similar holds in the fuzzy
scenario as well. This discussion essentially constitutes the core
of our presentation. The objective of this book is to present a
systematic and focussed study of the application of fuzzy sets to
two very basic areas of decision theory, namely Mathematical
Programming and Matrix Game Theory.
General
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