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author:

Li, D.-F. (Li, D.-F..) [1] | Nan, J.-X. (Nan, J.-X..) [2] | Zhang, M.-J. (Zhang, M.-J..) [3]

Indexed by:

Scopus

Abstract:

The aim of this paper is to study how to solve a type of matrix game with interval payoffs. In this paper, the interval inequality relations and the concept of solutions of the matrix game with interval payoffs are defined. Based on the fuzzy ranking index defined, the solution of the matrix game with interval payoffs can be obtained through solving a pair of bi-objective linear programming models derived from the constructed auxiliary interval programming models. It is shown that the models proposed in this paper extend those of the classical matrix game. The validity and applicability of the proposed methodology are illustrated with a numerical example. © 2012 Taylor and Francis Group, LLC.

Keyword:

interval; matrix game; multiobjective programming; optimization; uncertainty mathematical theory

Community:

  • [ 1 ] [Li, D.-F.]School of Management, Fuzhou University, Fuzhou, 350108, Fujian, China
  • [ 2 ] [Nan, J.-X.]College of Information Engineering, Dalian University, Dalian, 116622, Liaoning, China
  • [ 3 ] [Zhang, M.-J.]Department of Economics, Dalian University of Technology, Dalian, 116024, Liaoning, China

Reprint 's Address:

  • [Li, D.-F.]School of Management, Fuzhou University, Fuzhou, 350108, Fujian, China

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Source :

Optimization Methods and Software

ISSN: 1055-6788

Year: 2012

Issue: 1

Volume: 27

Page: 1-16

0 . 6 8 3

JCR@2012

1 . 4 0 0

JCR@2023

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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