leukemia classification based on cooperative game theory and shapley value

An Approach for Leukemia Classification Based on Cooperative Game Theory

Hematological malignancies are the types of cancer that affect blood, bone marrow and lymph nodes. As these tissues are naturally connected through the immune system, a disease affecting one of them will often affect the others as well. The hematological malignancies include; Leukemia, Lymphoma, Multiple myeloma. Among them, leukemia is a serious malignancy that starts in blood tissues especial...

Transmission cost allocation based on cooperative game theory

Hodge decomposition and the Shapley value of a cooperative game

We show that a cooperative game may be decomposed into a sum of component games, one for each player, using the combinatorial Hodge decomposition on a graph. This decomposition is shown to satisfy certain efficiency, null-player, symmetry, and linearity properties. Consequently, we obtain a new characterization of the classical Shapley value as the value of the grand coalition in each player’s ...

Ranking Efficient Decision Making Units Using Cooperative Game Theory Based on SBM Input-Oriented Model and Nucleolus Value

In evaluating the efficiency of decision making units (DMUs) by Data Envelopment Analysis (DEA) models, may be more than one DMU has an efficiency score equal to one. Since ranking of efficient DMUs is essential for decision makers, therefore, methods and models for this purpose are presented. One of ranking methods of efficient DMUs is cooperative game theory. In this study, Lee and Lozano mod...

finding influential individual in Social Network graphs using CSCS algorithm and shapley value in game theory

In recent years, the social networks analysis gains great deal of attention. Social networks have various applications in different areas namely predicting disease epidemic, search engines and viral advertisements. A key property of social networks is that interpersonal relationships can influence the decisions that they make. Finding the most influential nodes is important in social networks b...

COALITIONAL GAME WITH FUZZY PAYOFFS AND CREDIBILISTIC SHAPLEY VALUE

Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theo...