ライブラリ登録: Guest
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集
International Journal for Uncertainty Quantification
インパクトファクター: 3.259 5年インパクトファクター: 2.547 SJR: 0.531 SNIP: 0.8 CiteScore™: 1.52

ISSN 印刷: 2152-5080
ISSN オンライン: 2152-5099

Open Access

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

要約

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:

ALGORITHMS FOR INTERVAL NEUTROSOPHIC MULTIPLE ATTRIBUTE DECISION-MAKING BASED ON MABAC, SIMILARITY MEASURE, AND EDAS
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 5
Jingguo Dai, Xindong Peng
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
MAXIMIZING LIFETIME OF WIRELESS SENSOR NETWORKS USING ENERGY-EFFICIENT COMMUNICATION METHODS
Telecommunications and Radio Engineering, Vol.71, 2012, issue 7
Vibhav Kumar Sachan, Syed Akhtar Imam
INTERVAL-VALUED INTUITIONISTIC FUZZY POWER MACLAURIN SYMMETRIC MEAN AGGREGATION OPERATORS AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION-MAKING
International Journal for Uncertainty Quantification, Vol.8, 2018, issue 3
Zhengmin Liu, Fei Teng, Peide Liu, Qian Ge
FUZZY AGGREGATION OPERATORS WITH APPLICATION IN THE ENERGY PERFORMANCE OF BUILDINGS
International Journal for Uncertainty Quantification, Vol.8, 2018, issue 6
Marjan Movahedan, Peide Liu, Alireza Tavakoli, Sadegh Abbaszadeh