Fuzzy Solution Concepts For Noncooperative Games Interval Fuzzy And Intuitionistic Fuzzy Payoffs Tina Verma by Tina Verma, Amit Kumar 9783030161613, 3030161617 instant download after payment.

In the last decades, several methods have been proposed in the literature to find the
solution of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs.
However, after a deep study, it is observed that some mathematically incorrect
assumptions have been considered in all these methods. Therefore, it is scientifically
incorrect to use the existing methods to find the solution of real-life
non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. The aim of
this book is to provide the valid methods for solving different types of
non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs and to make
the researchers aware about those mathematically incorrect assumptions which are
considered in the existing methods.
The contents of the book are divided into six chapters. In Chap. 1, a new method
(named as Gaurika method) is proposed to obtain the optimal strategies as well as
minimum expected gain of Player I and maximum expected loss of Player II for
matrix games (or two-person zero-sum games) with interval payoffs (matrix games
in which payoffs are represented by intervals). Furthermore, to illustrate the proposed
Gaurika method, some existing numerical problems of matrix games with
interval payoffs are solved by the proposed Gaurika method.
In Chap. 2, the method (named as Mehar method) to obtain the optimal strategies
as well as minimum expected gain of Player I and maximum expected loss of
Player II for matrix games with fuzzy payoffs (matrix games in which payoffs are
represented as fuzzy numbers) is proposed. Furthermore, to illustrate the proposed
Mehar method, the existing numerical problems of matrix games with fuzzy payoffs
are solved by the proposed Mehar method.
In Chap. 3, a new method (named as Vaishnavi method) is proposed to obtain
the optimal strategies as well as minimum expected gain of Player I and maximum
expected loss of Player II for constrained matrix games with fuzzy payoffs (constrained
matrix games in which payoffs are represented by fuzzy numbers).
In Chap. 4, new methods (named as Ambika method-I, Ambika method-II,
Ambika method-III and Ambika method-IV) are proposed to obtain the optimal
strategies as well as minimum expected gain of Player I and maximum expected
loss of Player II for matrix games with intuitionistic fuzzy payoffs (matrix games in
which payoffs are represented by intuitionistic fuzzy numbers). Furthermore, to
illustrate proposed Ambika methods, some existing numerical problems of matrix
games with intuitionistic fuzzy payoffs are solved by proposed Ambika methods.
In Chap. 5, a new method (named as Mehar method) is proposed for solving
such bimatrix games or two-person non-zero sum games (matrix games in which
gain of one player is not equal to the loss of other player) in which payoffs are
represented by intuitionistic fuzzy numbers.
In Chap. 6, based on the present study future work has been suggested.