Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
International Journal for Uncertainty Quantification
Factor de Impacto: 3.259 Factor de Impacto de 5 años: 2.547 SJR: 0.417 SNIP: 0.8 CiteScore™: 1.52

ISSN Imprimir: 2152-5080
ISSN En Línea: 2152-5099

Acceso abierto

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2018021714
pages 527-542

A SIMPLIFIED METHOD FOR COMPUTING INTERVAL-VALUED EQUAL SURPLUS DIVISION VALUES OF INTERVAL-VALUED COOPERATIVE GAMES

Deng-Feng Li
School of Economics and Management, Fuzhou University, Fuzhou, Fujian 350108, China
Yin-Fang Ye
School of Economics and Management, Fuzhou University, Fuzhou, Fujian 350108, China

SINOPSIS

Cooperative games with coalitions' values represented by intervals, which are often called interval-valued (IV) cooperative games, have currently become a hot research topic. For single-valued solutions of IV cooperative games, if the Moore's interval subtraction were used, then some unreasonable conclusions and issues result. This paper focuses on developing a simplified method without using the Moore's interval subtraction for solving the IV equal division values and IV equal surplus division values of IV cooperative games. In the methods, through defining some weaker coalition monotonicity-like conditions, it is proven that both equal division value and equal surplus division value of the defined associated cooperative game are monotonic and nondecreasing functions of the parameter α. Hence, the IV equal division values and IV equal surplus division values of IV cooperative games can be directly and explicitly obtained through determining their lower and upper bounds by using the lower and upper bounds of the IV coalitions' values, respectively. The method proposed in this paper uses coalition monotonicity-like conditions rather than the Moore's interval subtraction and hereby can effectively avoid the issues resulting from it. Moreover, some important properties of the IV equal division values and IV equal surplus division values of IV cooperative games are discussed. Finally, real numerical examples are used to demonstrate the feasibility and applicability of the methods proposed in this paper.


Articles with similar content:

GROUP DECISION MAKING WITH MULTIPLICATIVE TRIANGULAR HESITANT FUZZY PREFERENCE RELATIONS AND COOPERATIVE GAMES METHOD
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 3
Yan Yang, Xiaohong Chen, Junhua Hu, Qingxian An
The Ethics of Genetic Research on Indigenous Populations
Ethics in Biology, Engineering and Medicine: An International Journal, Vol.4, 2013, issue 4
Kim Skoog
On the Value of P Value: Toward Improving Statistical and Translational Significance— and Value—in Studies and the Applicability of Neurotechnologies for Precision Medicine
Ethics in Biology, Engineering and Medicine: An International Journal, Vol.9, 2018, issue 1
James Giordano, Raagasri Agraharam
BLOCK AND MULTILEVEL PRECONDITIONING FOR STOCHASTIC GALERKIN PROBLEMS WITH LOGNORMALLY DISTRIBUTED PARAMETERS AND TENSOR PRODUCT POLYNOMIALS
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 5
Ivana Pultarová
INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION FOR NUMERICAL CODES VERIFICATION
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2017, issue
Filippo de Monte, Giampaolo D'Alessandro