When handling engineering problems associated with optimal alternative selection a researcher often deals with not sufficiently accurate data. The alternatives are usually assessed by applying several different criteria. A method takes advantage of the relationship between fuzzy sets and matrix game theories can be offered for multicriteria decision-making. Practical investigations have already...

The Value is a solution concept originally due to Shapley (1953). The idea behind the concept is to evaluate how much will a player be willing to pay to participate in a given game. It seeks to represent what the game is worth for a player. In some sense the value captures the expected outcome of the game. We will start with the TU (transferable utility) framework and the axiomatic approach and...

This paper analyzes the multicriteria bimatrix goal game under the light of entropy environment. In this approach, the entropy functions of the players are considered as objectives to the bimatrix game. The solution concepts behind this game are based on getting the probability to achieve some specified goals by determining G-goal security strategies (GGSS). We define the real coded Genetic Alg...

A decision maker is frequently confronted with fuzzy constraints, fuzzy utility maximization, and fuzziness about the state of competitors. In this paper we present a framework for fuzzy decision-making, using techniques from fuzzy logic, game theory, and micro-economics. In the first part, we study the rationality of fuzzy choice. We introduce fuzzy constraints, and show that this can easily b...

We introduce the notion of Burkill-Cesari (BC) differentiability for transferable utility (TU) games and compare it with some other analogous established notions existing in cooperative game theoretical literature. We also apply our notion to the study of the core of a new class of TU games.

Braess' paradox is a classical result in the theory of congestion games. It motivates theoretically why adding resource (e.g., an arc) to network may sometimes worsen, rather than improve, overall performance. Differently from previous literature, which studies non-cooperative game-theoretic setting, this work, framework proposed investigate its occurrence by exploiting cooperative games with t...

In this paper we introduce and characterize two new values for transferable utility games with graph restricted communication and a priori unions. Both values are obtained by applying the Shapley value to an associated TU-game. The graph-partition restricted TUgame is obtained by taking the Myerson graph restricted game and of that the Kamijo partition restricted game. In this game the dividend...

The Pridneprovsky Chemical Plant was one of the largest uranium processing enterprises in the former USSR, producing a huge amount of uranium residues. The Zapadnoe tailings site contains most of these residues. We propose a theoretical framework based on multicriteria decision analysis and fuzzy logic to analyze different remediation alternatives for the Zapadnoe tailings, which simultaneously...

A situation in which a finite set of players can obtain certain payoffs by cooperation be described cooperative game with transferable utility, or simply TU-game. solution for TU-games assigns payoff distributions to every In the literature, various models games restricted found where, instead allowing all subsets player N form, it is assumed that feasible coalitions subset power N. this paper,...