Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players
Joint Authors
Zhou, Gengui
Meng, Zhiqing
Jiang, Min
Shen, Rui
Xu, Xinsheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper extends an existing cooperative multi-objective interaction programming problem with interaction constraint for two players (or two agents).
First, we define an s-optimal joint solution with weight vector to multi-objective interaction programming problem with interaction constraint for two players and get some properties of it.
It is proved that the s-optimal joint solution with weight vector to the multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem.
Then, we define another s-optimal joint solution with weight value to multi-objective interaction programming problem with interaction constraint for two players and get some of its properties.
It is proved that the s-optimal joint solution with weight vector to multi-objective interaction programming problem can be obtained by solving a corresponding mathematical programming problem.
Finally, we build a pricing multi-objective interaction programming model for a bi-level supply chain.
Numerical results show that the interaction programming pricing model is better than Stackelberg pricing model and the joint pricing model.
American Psychological Association (APA)
Jiang, Min& Meng, Zhiqing& Xu, Xinsheng& Shen, Rui& Zhou, Gengui. 2012. Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029651
Modern Language Association (MLA)
Jiang, Min…[et al.]. Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029651
American Medical Association (AMA)
Jiang, Min& Meng, Zhiqing& Xu, Xinsheng& Shen, Rui& Zhou, Gengui. Multiobjective Interaction Programming Problem with Interaction Constraint for Two Players. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029651
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029651