基于λ-最大相容类的粗糙规划模型及其在企业战略联盟形成决策问题中的应用

doi:10.12005/orms.2015.0069

运筹与管理 ›› 2015, Vol. 24 ›› Issue (2): 229-236.DOI: 10.12005/orms.2015.0069

基于λ-最大相容类的粗糙规划模型及其在企业战略联盟形成决策问题中的应用

关菲¹ , 张强¹, 栗军²

1.北京理工大学管理与经济学院,北京 100081;
2.国网石家庄供电分公司,河北石家庄 050000

收稿日期:2013-11-17 出版日期:2015-04-12
作者简介:关菲(1985-),女,在读博士, 研究方向:模糊合作对策与决策, 数据挖掘;张强(1955-)男,教授,博士生导师,研究方向:模糊合作对策与决策。
基金资助:
国家自然科学基金和高等学校博士学科点专项科研基金资助(71071018,70801064,20111101110036)

A λ-Maximal Compatible Classes-Based Rough Programming Model and Its Application to Coalition Formation Decision Making Problems of Enterprise Strategic Alliance

GUAN Fei¹ , ZHANG Qiang¹, LI Jun²

1.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;
2.State Grid Shijiazhuang Electric Power Supply Company, Shijiazhuang 050000, China

Received:2013-11-17 Online:2015-04-12

摘要/Abstract

摘要： 企业战略联盟作为一种新型、双赢的商业竞争模式,近年来,其联盟的形成问题一直是学术界与应用领域广泛关注的研究内容。本文在分析影响企业战略联盟形成的各因素基础上,首先利用序关系G1法对各影响因素指标进行了权重确定,并用基于相似度的聚类分析法来对属性权重进行筛选和修正;其次以形成的联盟稳定性最高为目标,以λ-最大相容类模拟联盟中各企业之间的相似关系,利用粗糙规划模型的性质和特点,建立了基于λ-最大相容类的粗糙规划模型;最后结合企业战略联盟的具体实例,分析了该模型的特点和有效性。结果表明,该模型丰富了现有的理论成果,为战略联盟的有效形成提供了正确的决策参考。

关键词: 企业战略联盟, 联盟形成, 最大相容类, 粗糙规划模型

Abstract: Enterprise strategic alliance is a new kind of win-win business competition mode. In recent years, its coalition formation problem has aroused more and more concern in the field of academic and application areas. In this paper, based on the analysis of the affecting factors of coalition formation, firstly, we give the weight indexes of these factors by the order relation G1 method, screen and revise these weight indexes by clustering analysis method based on similarity. Then we choose the highest alliance stability as the goal, using λ-maximal compatible classes to simulate the relationship between each enterprise in the coalition, and we construct a λ-maximal compatible classes-based rough programming model using the properties and characteristics of rough planning model. Finally, by a specific example, the performance and characteristics of our modelare verified and the results show that our model enriches the existing theory and provide reference for the correct decision making of coalition formation.

Key words: enterprise strategic alliance, coalition formation, maximal compatible classes, rough programming model

中图分类号:

O225
O221

关菲 , 张强, 栗军. 基于λ-最大相容类的粗糙规划模型及其在企业战略联盟形成决策问题中的应用[J]. 运筹与管理, 2015, 24(2): 229-236.

GUAN Fei , ZHANG Qiang, LI Jun. A λ-Maximal Compatible Classes-Based Rough Programming Model and Its Application to Coalition Formation Decision Making Problems of Enterprise Strategic Alliance[J]. Operations Research and Management Science, 2015, 24(2): 229-236.

参考文献

[1] 史占中.企业战略联盟[M].上海财经大学出版社,2001.
[2] 龚勇,姚莉,张维明等.多主体系统中的联盟形成技术综述[J].计算机工程与科学,2004,26(6):100-104.
[3] 陈莉,陈晓云,胡山立等.基于情感组织Agent的联盟形成[J].广西师范大学学报,2008,26(1):146-149.
[4] 李剑,景博,杨义先.一种基于奖励机制的Agent联盟形成策略[J].电子学报,2008,37(12A):71-75.
[5] 夏娜,蒋建国,于春华等.一种基于利益均衡的联盟形成策略[J].控制与决策,2005,20(12):1426-1428.
[6] Owen G. Multilinear extensions of games[J]. Management Sciences, 1972, 18(5): 64-79.
[7] Grabisch M. K-order additive discrete fuzzy measures and their representation[J]. Fuzzy Sets and Systems, 1997, 92(2): 167-189.
[8] Grabisch M, Roubens M. An axiomatic approach to the concept of interaction among players in cooperative games[J]. International Journal of Game Theory, 1999, 28(4): 547-565.
[9] Mikenina L, Zimmermann H. J. Improved feature selection and classification by the 2-additive fuzzy measure[J]. Fuzzy Sets and Systems, 1999, 107(2): 195-218.
[10] Roubens M. Interaction between criteria and definition of weights in MCDA problems[C]. In: 44th Meeting of the European Working Group “Multicriteria Aid for Decision”. Brussels, Belgium, 1996.
[11] 李书金,张强.模糊合作博弈局中人参与水平间相互作用度量[J].应用数学学报,2007,6(30):1117-1129.
[12] Pawlak Z, Rough sets. International journal of computer and information sciences[J]. 1982, 11(5): 341-356.
[13] 左孝凌,李为,刘永才.离散数学[M].上海:上海科学技术出版社,1981.
[14] Polkowski L, Skowron A. Fuzzy similarity relation as a basis for rough approximations[M]. Heidelberg: Springer-Verlag, 1998.
[15] 郭亚军著.综合评价理论与方法[M].北京:科学出版社,2002.

基于λ-最大相容类的粗糙规划模型及其在企业战略联盟形成决策问题中的应用

A λ-Maximal Compatible Classes-Based Rough Programming Model and Its Application to Coalition Formation Decision Making Problems of Enterprise Strategic Alliance

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