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| T-模糊联盟间相互影响的度量 | |
| 引用本文： | 孟凡永,张强,唐婕. T-模糊联盟间相互影响的度量[J]. 系统工程理论与实践, 2010, 30(1): 73-83. DOI: 10.12011/1000-6788(2010)1-73 |
| 作者姓名： | 孟凡永 张强 唐婕 |
| 作者单位： | 1. 北京理工大学,管理与经济学院,北京,100081 2. 马士基(中国)航运有限公司,青岛,266071 |
| 摘 要： | 针对局中人以三角模糊数的形式参与合作对策的问题,给出了T-模糊联盟间相互影响的基本概念.探讨了T-模糊联盟间相互独立时模糊特征函数的表达式及模糊特征函数具有k-严格单调性时T-模糊联盟间相互影响的变化规律,通过对Shapley值和Banzhaf-Coleman势指标度量概念的推广,得到相应的Shapley值和Banzhaf-Coleman势指标,用于表示T-模糊联盟间相互影响的期望度量指标和方差度量指标,并通过算例分析来说明其有效性和实用性. |
| 关 键 词： | 模糊对策 三角模糊数 Shapley值 Banzhaf-Coleman势指标 |
The measure of interaction among T-fuzzy coalitions |
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| MENG Fan-yong,ZHANG Qiang,TANG Jie. The measure of interaction among T-fuzzy coalitions[J]. Systems Engineering —Theory & Practice, 2010, 30(1): 73-83. DOI: 10.12011/1000-6788(2010)1-73 | |
| Authors: | MENG Fan-yong ZHANG Qiang TANG Jie |
| Affiliation: | MENG Fan-yong~1,ZHANG Qiang~1,TANG Jie~2 (1.School of Management , Economics,Beijing Institute of Technology,Beijing 100081,China,2.Maersk(China) Shipping Limited Company,Qingdao 266071,China) |
| Abstract: | The basic concepts are offered for the interaction among T-fuzzy coalitions,which is about the problem of the player participation cooperative games by triangular fuzzy numbers.The expression of fuzzy characteristic function is discussed when fuzzy coalitions are mutual independence,the change rule of interaction among T-fuzzy coalitions are studied when fuzzy characteristic function is k-strictly monotone. Corresponding Shapley value and Banzhaf-Coleman power index are obtained through expend the Shapley v... |
| Keywords: | fuzzy games triangular fuzzy numbers Shapley value Banzhaf-Coleman power index |
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