International Journal of Computational Intelligence Systems

Volume 3, Issue 3, September 2010, Pages 280 - 289

A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers

Authors
Jiang-Xia Nan, Deng-Feng Li, Mao-Jun Zhang
Corresponding Author
Jiang-Xia Nan
Available Online 1 September 2010.
DOI
https://doi.org/10.2991/ijcis.2010.3.3.4How to use a DOI?
Keywords
Triangular intuitionistic fuzzy number; Intuitionistic fuzzy set; Matrix game; Mathematical programming; Lexicographic method.
Abstract
The intuitionistic fuzzy set (IF-set) has not been applied to matrix game problems yet since it was introduced by K.T.Atanassov. The aim of this paper is to develop a methodology for solving matrix games with payoffs of triangular intuitionistic fuzzy numbers (TIFNs). Firstly the concept of TIFNs and their arithmetic operations and cut sets are introduced as well as the ranking order relations. Secondly the concept of solutions for matrix games with payoffs of TIFNs is defined. A lexicographic methodology is developed to determine the solutions of matrix games with payoffs of TIFNs for both Players through solving a pair of bi-objective linear programming models derived from two new auxiliary intuitionistic fuzzy programming models. The proposed method is illustrated with a numerical example.
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This is an open access article distributed under the CC BY-NC license.

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
3 - 3
Pages
280 - 289
Publication Date
2010/09
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.2010.3.3.4How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Jiang-Xia Nan
AU  - Deng-Feng Li
AU  - Mao-Jun Zhang
PY  - 2010
DA  - 2010/09
TI  - A Lexicographic Method for Matrix Games with Payoffs of Triangular Intuitionistic Fuzzy Numbers
JO  - International Journal of Computational Intelligence Systems
SP  - 280
EP  - 289
VL  - 3
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2010.3.3.4
DO  - https://doi.org/10.2991/ijcis.2010.3.3.4
ID  - Nan2010
ER  -