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The theory of fuzzy sets has become known in Czechoslovakia in the
early seventies. Since then, it was applied in various areas of
science, engineering and economics where indeterminate concepts had
to be handled. There has been a number of national semi- nars and
conferences devoted to this topic. However, the International
Symposium on Fuzzy Approach to Reasoning and Decision-Making, held
in 1990, was the first really representative international meeting
of this kind organized in Czechoslovakia. The symposium took place
in the House of Scientists of the Czechoslovak Academy of Sciences
in Bechyne from June 25 till 29, 1990. Its main organizer was
Mining In- stitute of the Czechoslovak Academy of Sciences in
Ostrava in cooperation and support of several other institutions
and organizations. A crucial role in preparing of the Sym- posium
was played by the working group for Fuzzy Sets and Systems which is
active in the frame of the Society of Czechoslovak Mathematicians
and Physicists. The organizing and program committee was headed by
Dr. Vilem Novak from the Mining Institute in Ostrava. Its members
(in alphabetical order) were Dr. Martin Cerny (Prague), Prof. Bla-
hoslav Harman (Liptovsky Mikulas), Ema Hyklova (Prague), Prof.
Zdenek Karpfsek (Brno), Jan Laub (Prague), Dr. Milan MareS -
vice-chairman (Prague), Prof. Radko Mesiar (Bratislava), Dr. Jifi
Nekola - vice-chairman (Prague), Daria Novakova (Os- trava), Dr.
Jaroslav Ramfk (Ostrava), Prof. Dr. Beloslav Riecan (Bratislava),
Dr. Jana TalaSova (Pi'erov) and Dr. Milos Vitek (Pardubice).
The present book deals with coalition games in which expected
pay-offs are only vaguely known. In fact, this idea about vagueness
of expectations ap pears to be adequate to real situations in which
the coalitional bargaining anticipates a proper realization of the
game with a strategic behaviour of players. The vagueness being
present in the expectations of profits is mod elled by means of the
theory of fuzzy set and fuzzy quantities. The fuzziness of
decision-making and strategic behaviour attracts the attention of
mathematicians and its particular aspects are discussed in sev eral
works. One can mention in this respect in particular the book
"Fuzzy and Multiobjective Games for Conflict Resolution" by Ichiro
Nishizaki and Masatoshi Sakawa (referred below as 43]) which has
recently appeared in the series Studies in Fuzziness and Soft
Computing published by Physica-Verlag in which the present book is
also apperaing. That book, together with the one you carry in your
hands, form in a certain sense a complementary pair. They present
detailed views on two main aspects forming the core of game theory:
strategic (mostly 2-person) games, and coalitional (or cooperative)
games. As a pair they offer quite a wide overview of fuzzy set
theoretical approaches to game theoretical models of human
behaviour."
The present book deals with coalition games in which expected
pay-offs are only vaguely known. In fact, this idea about vagueness
of expectations ap pears to be adequate to real situations in which
the coalitional bargaining anticipates a proper realization of the
game with a strategic behaviour of players. The vagueness being
present in the expectations of profits is mod elled by means of the
theory of fuzzy set and fuzzy quantities. The fuzziness of
decision-making and strategic behaviour attracts the attention of
mathematicians and its particular aspects are discussed in sev eral
works. One can mention in this respect in particular the book
"Fuzzy and Multiobjective Games for Conflict Resolution" by Ichiro
Nishizaki and Masatoshi Sakawa (referred below as 43]) which has
recently appeared in the series Studies in Fuzziness and Soft
Computing published by Physica-Verlag in which the present book is
also apperaing. That book, together with the one you carry in your
hands, form in a certain sense a complementary pair. They present
detailed views on two main aspects forming the core of game theory:
strategic (mostly 2-person) games, and coalitional (or cooperative)
games. As a pair they offer quite a wide overview of fuzzy set
theoretical approaches to game theoretical models of human
behaviour."
The papers presented at the Symposium focused mainly on two fields
of interest. First, there were papers dealing with the theoretical
background of fuzzy logic and with applications of fuzzy reasoning
to the problems of artificial intelligence, robotics and expert
systems. Second, quite a large number of papers were devoted to
fuzzy approaches to modelling of decision-making situations under
uncertainty and vagueness and their applications to the evaluation
of alternatives, system control and optimization.Apart from that,
there were also some interesting contributions from other areas,
like fuzzy classifications and the use of fuzzy approaches in
quantum physics.This volume contains the most valuable and
interesting papers presented at the Symposium and will be of use to
all those researchers interested in fuzzy set theory and its
applications.
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