Matrix Games with Fuzzy Goals and Fuzzy Linear Programming Duality

2004 ◽  
Vol 3 (3) ◽  
pp. 255-269 ◽  
Author(s):  
C.R. Bector ◽  
S. Chandra ◽  
V. Vidyottama
Keyword(s):  
Linear Programming ◽  
Fuzzy Linear Programming ◽  
Matrix Games ◽  
Linear Programming Duality ◽  
Fuzzy Goals

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

2016 ◽  
Vol 33 (06) ◽  
pp. 1650047 ◽  
Author(s):  
Sanjiv Kumar ◽  
Ritika Chopra ◽  
Ratnesh R. Saxena
Keyword(s):  
Linear Programming ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimization Problems ◽  
Fuzzy Linear Programming ◽  
Matrix Game ◽  
Matrix Games ◽  
Trapezoidal Fuzzy Numbers ◽  
Fast Approach ◽  
The Matrix

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.

Solutions based on fuzzy goals in fuzzy linear programming games

2000 ◽  
Vol 115 (1) ◽  
pp. 105-119 ◽  
Author(s):  
Ichiro Nishizaki ◽  
Masatoshi Sakawa
Keyword(s):  
Linear Programming ◽  
Fuzzy Linear Programming ◽  
Fuzzy Goals

scholarly journals Solutions Based on Fuzzy Goals in Fuzzy Linear Programming Games

1999 ◽  
Vol 11 (1) ◽  
pp. 149-158 ◽  
Author(s):  
Ichiro NISHIZAKI ◽  
Masatoshi SAKAWA ◽  
Yasushi FUJINO
Keyword(s):  
Linear Programming ◽  
Fuzzy Linear Programming ◽  
Fuzzy Goals
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