A set game, in which the worth of a coalition is expressed by a set instead of a real number, is a new type of cooperative game. A F-restricted set game is a set game restricted by partition system. The main theorems ...A set game, in which the worth of a coalition is expressed by a set instead of a real number, is a new type of cooperative game. A F-restricted set game is a set game restricted by partition system. The main theorems show the structures of IM-value,OIM-value,SCM-value and ICM-value respectively,and the equivalency of IM value and the OIM-value for monotonic set games restricted by partition system as well.展开更多
We propose the concept of a coalitional power value for set games, and present its axiomatic characterization of global effciency, equal treatment property and coalitional power monotonicity. The coalitional power val...We propose the concept of a coalitional power value for set games, and present its axiomatic characterization of global effciency, equal treatment property and coalitional power monotonicity. The coalitional power value is a generalization of the marginalistic value introduced by Aarts et al.展开更多
Determining the correct threshold values for the probabilistic rough set approaches has been a heated issue among the community.Existing techniques offer no way in guaranteeing that the calculated values optimize the ...Determining the correct threshold values for the probabilistic rough set approaches has been a heated issue among the community.Existing techniques offer no way in guaranteeing that the calculated values optimize the classification ability of the decision rules derived from this configuration.This article will formulate a game theoretic approach to calculating these thresholds to ensure correct approximation region size.Using payoff tables created from approximation measures and modified conditional risk strategies,we provide the user with tolerance levels for their loss functions.Using the tolerance values,new thresholds are calculated to provide correct classification regions.This will aid in determining a set of optimal region threshold values for decision making.展开更多
In this paper, the definition of weak dominance is proposed for a NTU game and two new solution concepts of NTU games are introduced: the refined core and weakly stable set. The relationship is explored among the core...In this paper, the definition of weak dominance is proposed for a NTU game and two new solution concepts of NTU games are introduced: the refined core and weakly stable set. The relationship is explored among the core, the weakly stable set and the refined core.展开更多
First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of...First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.展开更多
This article is devoted to obtaining sufficient conditions for the completion of pursuit for control systems of fractional order described with divided dynamics. The results are illustrated on model examples of gaming...This article is devoted to obtaining sufficient conditions for the completion of pursuit for control systems of fractional order described with divided dynamics. The results are illustrated on model examples of gaming problems with a simple matrix and separated fractional-order motions.展开更多
文摘A set game, in which the worth of a coalition is expressed by a set instead of a real number, is a new type of cooperative game. A F-restricted set game is a set game restricted by partition system. The main theorems show the structures of IM-value,OIM-value,SCM-value and ICM-value respectively,and the equivalency of IM value and the OIM-value for monotonic set games restricted by partition system as well.
基金the National Natural Science Foundation of China (No.10101021).
文摘We propose the concept of a coalitional power value for set games, and present its axiomatic characterization of global effciency, equal treatment property and coalitional power monotonicity. The coalitional power value is a generalization of the marginalistic value introduced by Aarts et al.
文摘Determining the correct threshold values for the probabilistic rough set approaches has been a heated issue among the community.Existing techniques offer no way in guaranteeing that the calculated values optimize the classification ability of the decision rules derived from this configuration.This article will formulate a game theoretic approach to calculating these thresholds to ensure correct approximation region size.Using payoff tables created from approximation measures and modified conditional risk strategies,we provide the user with tolerance levels for their loss functions.Using the tolerance values,new thresholds are calculated to provide correct classification regions.This will aid in determining a set of optimal region threshold values for decision making.
文摘In this paper, the definition of weak dominance is proposed for a NTU game and two new solution concepts of NTU games are introduced: the refined core and weakly stable set. The relationship is explored among the core, the weakly stable set and the refined core.
基金the Natural Science Foundation of Sichuan Education Department of China (Nos.2003A081 and SZD0406)
文摘First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.
文摘This article is devoted to obtaining sufficient conditions for the completion of pursuit for control systems of fractional order described with divided dynamics. The results are illustrated on model examples of gaming problems with a simple matrix and separated fractional-order motions.
