An Allocation Value of Cooperative Game with Communication Structure and Intuitionistic Fuzzy Coalitions

2019 ◽  
pp. 69-84 ◽  
Author(s):  
Jie Yang
Keyword(s):  
Cooperative Game ◽  
Communication Structure ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Coalitions

scholarly journals Two-Level Cooperative Game on Hypergraph

2021 ◽  
Vol 14 ◽  
pp. 227-235
Author(s):  
David A. Kosian ◽  
◽  
Leon A. Petrosyan ◽  
Keyword(s):  
Cooperative Game ◽  
Allocation Rule ◽  
Characteristic Functions ◽  
Convexity Property ◽  
Cooperative Behaviour ◽  
Original Game ◽  
Communication Structure

In the paper, the cooperative game with a hypergraph communication structure is considered. For this class of games, a new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. The communication possibilities are described by the hypergraph in which the nodes are players and hyperlinks are the communicating subgroups of players. The game between hyperlinks and between players in each hyperlink is described. The payoff of each player is influenced by the actions of other players dependent on the distance between them on hypergraph. Constructed characteristic functions based on cooperative behaviour satisfy the convexity property. The results are shown by the example.

scholarly journals Integral Representations of Cooperative Game with Fuzzy Coalitions

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Jinhui Pang ◽  
Xiang Chen
Keyword(s):  
Characteristic Function ◽  
Explicit Formula ◽  
Cooperative Game ◽  
Integral Representations ◽  
New Class ◽  
Concave Integral ◽  
Fuzzy Game ◽  
Fuzzy Coalitions ◽  
Expected Values ◽  
Special Case

Classical extensions of fuzzy game models are based on various integrals, such as Butnariu game and Tsurumi game. A new class of symmetric extension of fuzzy game with fuzzy coalition variables is put forward with Concave integral, where players’ expected values are on a partial set of coalitions. Some representations and properties of some limited models are compared in this paper. The explicit formula of characteristic function determined by coalition variables is given. Moreover, a calculation approach of imputations is discussed in detail. The new game could be regarded as a general form of cooperative game. Furthermore, the fuzzy game introduced by Tsurumi is a special case of the proposed game when game is convex.

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

Sign in / Sign up

Export Citation Format

Share Document