A Fast Approach to Solve Matrix Games with Payoffs of Trapezoidal Fuzzy Numbers

Sanjiv Kumar, Ritika Chopra () and Ratnesh R. Saxena ()
Additional contact information
Sanjiv Kumar: Department of Mathematics, Delhi University, Delhi, India
Ritika Chopra: Department of Mathematics, Delhi University, Delhi, India
Ratnesh R. Saxena: Department of Mathematics, Deen Dayal Upadhyay College, Delhi University, Delhi, India

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 06, 1-14

Abstract: The aim of this paper is to develop an effective method for solving matrix game with payoffs of trapezoidal fuzzy numbers (TrFNs). The method always assures that players’ gain-floor and loss-ceiling have a common TrFN-type fuzzy value and hereby any matrix game with payoffs of TrFNs has a TrFN-type fuzzy value. The matrix game is first converted to a fuzzy linear programming problem, which is converted to three different optimization problems, which are then solved to get the optimum value of the game. The proposed method has an edge over other method as this focuses only on matrix games with payoff element as symmetric trapezoidal fuzzy number, which might not always be the case. A numerical example is given to illustrate the method.

Keywords: Fuzzy game theory; Trapezoidal fuzzy number; α-cut; linear programming (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595916500470
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:33:y:2016:i:06:n:s0217595916500470

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595916500470

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().