Cooperative game with fuzzy coalition and payoff value in the generalized integral form

2017 ◽  
Vol 33 (6) ◽  
pp. 3641-3651 ◽  
Author(s):  
Xiaohui Yu ◽  
Qiang Zhang ◽  
Zhen Zhou
Keyword(s):  
Cooperative Game ◽  
Integral Form

scholarly journals The Shapley Values on Fuzzy Coalition Games with Concave Integral Form

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Jinhui Pang ◽  
Xiang Chen ◽  
Shujin Li
Keyword(s):  
Cooperative Game ◽  
Integral Form ◽  
Simple Calculation ◽  
Calculation Formula ◽  
Concave Integral ◽  
Shapley Values ◽  
Linear Aggregation ◽  
Fuzzy Game ◽  
Expected Values

A generalized form of a cooperative game with fuzzy coalition variables is proposed. The character function of the new game is described by the Concave integral, which allows players to assign their preferred expected values only to some coalitions. It is shown that the new game will degenerate into the Tsurumi fuzzy game when it is convex. The Shapley values of the proposed game have been investigated in detail and their simple calculation formula is given by a linear aggregation of the Shapley values on subdecompositions crisp coalitions.

Public resources allocation using an uncertain cooperative game among vulnerable groups

Kybernetes ◽  
2019 ◽  
Vol 48 (8) ◽  
pp. 1606-1625 ◽  
Author(s):  
Pei Liang ◽  
Junhua Hu ◽  
Yongmei Liu ◽  
Xiaohong Chen
Keyword(s):  
Resource Allocation ◽  
Cooperative Game ◽  
Shapley Value ◽  
Choquet Integral ◽  
Convex Combination ◽  
Integral Form ◽  
Vulnerable Groups ◽  
Content Type ◽  
Public Resource ◽  
Public Resources

Purpose This paper aims to solve the problem of public resource allocation among vulnerable groups by proposing a new method called uncertain α-coordination value based on uncertain cooperative game. Design/methodology/approach First, explicit forms of uncertain Shapley value with Chouqet integral form and uncertain centre-of-gravity of imputation-set (CIS) value are defined separately on the basis of uncertainty theory and cooperative game. Then, a convex combination of the two values above called the uncertain α-coordination value is used as the best solution. This study proves that the proposed methods meet the basic properties of cooperative game. Findings The uncertain α-coordination value is used to solve a public medical resource allocation problem in fuzzy coalitions and uncertain payoffs. Compared with other methods, the α-coordination value can solve such problem effectively because it balances the worries of vulnerable group’s further development and group fairness. Originality/value In this paper, an extension of classical cooperative game called uncertain cooperative game is proposed, in which players choose any level of participation in a game and relate uncertainty with the value of the game. A new function called uncertain α-Coordination value is proposed to allocate public resources amongst vulnerable groups in an uncertain environment, a topic that has not been explored yet. The definitions of uncertain Shapley value with Choquet integral form and uncertain CIS value are proposed separately to establish uncertain α-Coordination value.

ДОСВІД У ДИСКУСІЙНОМУ ПОЛІ ПОЗИЦІЮВАННЯ КАТЕГОРІЇ "ТВОРЧИЙ ПОТЕНЦІАЛ"

1970 ◽  
Vol 6 (1) ◽  
pp. 62-71
Author(s):  
Лариса Міщиха
Keyword(s):  
Coming Out ◽  
Motion Vector ◽  
Integral Form ◽  
Phenomenological Approach ◽  
Humanistic Psychology ◽  
Creative Potential ◽  
Form Of Life ◽  
Conceptual Background ◽  
Creative Experience ◽  
The One

У статті зроблено спробу проаналізувати феномен "досвід" у форматі дослідження творчого потенціалу особистості. Теоретико-методологічними засадами заявленої вище проблеми стали концептуальні засади гуманістичної психології, феноменологічного підходу. Досвід, як вагома складова творчого потенціалу особистості, розглядається у співвідношенні таких провідних тенденцій, як стереотипність та оригінальність. Наголошується, що досвід, з одного боку, може сприяти все більшій алгоритмізації та стереотипізації, консерватизму у розв’язанні нових задач, що безумовно перешкоджає творчості. З іншого боку, в осіб з високим творчим потенціалом він стає інтегрованою формою життєтворчості, де в структурі старих знань завжди знайдеться місце новим знанням як привнесених "ззовні", так і знанням, що їх отримує автор через власні ініціації, пошук, накреслюючи власноруч вектор руху. Звідси він отримує "побічний продукт" творчої діяльності – саморозвиток. Відтак творчий досвід трактується як такий, що містить у собі акумуляцію та інтеграцію усіх прижиттєвих творчих напрацювань особистості, готовність її до творчої діяльності та безперервної освіти. Суб’єкт творчої діяльності залишається відкритим новому досвіду, сповнений готовності до нового пізнання, творчих пошуків. In the article there was an attempt to analyze the phenomenon "experience" in the form of investigating a person’s creative potential. The theoretic methodological background of the performed above problem is conceptual background of humanistic psychology and phenomenological approach. Experience as an essential part of a person’s creative potential is regarded in relation to such leading trends as stereotype and originality. On the one hand, the experience is emphasized to be able to promote the model of algorithm and stereotype, conservatism in solving new tasks that is certain to inhibit creativity. On the other hand, personalities with high creative potential have an experience that is becoming an integral form of life work where in the structure of old knowledge you can always find a place for both new ones coming out "from inside" and the ones the author takes due to his own initiation and search. In this way he sketches motion vector and gets the "by-product" of his creativity, it means self-development. Hence, creative experience is interpreted as the one to absorb accumulation and integration of all creative experience in a person’s life; also his/her readiness to creativity and continuing education. The subject of creativity remains opened to a new experience that is fully ready for a new cognition and creativity.

Non-Cooperative Game Based Research on Routing Schemes for Wireless Networks

2009 ◽  
Vol 32 (1) ◽  
pp. 54-68 ◽  
Author(s):  
Yang WANG ◽  
Chuang LIN ◽  
Quan-Lin LI ◽  
Jing-Qi WANG ◽  
Xin JIANG
Keyword(s):  
Wireless Networks ◽  
Cooperative Game ◽  
Routing Schemes
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