Solving Matrix Games with I-fuzzy Payoffs: Pareto-optimal Security Strategies Approach
A recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of m...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Tsinghua University Press
2014-06-01
|
Series: | Fuzzy Information and Engineering |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865814000235 |
Summary: | A recent research work of Clemente et al. [12] on Pareto-optimal security strategies (POSS) in matrix games with fuzzy payoffs is extended to I-fuzzy scenario. Besides, the membership and the non-membership functions of the I-fuzzy values for both players are obtained by employing the technique of multiobjective optimization. The presented approach provides an efficient solution to a class of I-fuzzy matrix games with piecewise linear membership and non-membership functions. This class also includes I-fuzzy matrix games with triangular and trapezoidal I-fuzzy numbers as special cases. Further, POSS approach also provides an approximate solution to I-fuzzy matrix games with payoffs as general I-fuzzy numbers. |
---|---|
ISSN: | 1616-8658 |