An approach for solving fuzzy implicit variational inequalities with linear membership functions

Authors:
Heng-you Lan
Affiliations:
Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

In this paper, we consider a class of fuzzy implicit variational inequalities with linear membership functions. By using the ''tolerance approach'', we show that solving such problems can be reduced to a semi-infinite programming problem. A version of the ''method of centres'' with ''entropic regularization'' techniques, only used a quasi-Newton line search using MATLAB software is required in our implementation. We also give a numerical example to illustrate the validity of our approach.