Hf. Wang et Hl. Liao, FUZZY RESOLUTION ON THE INFEASIBILITY OF VARIATIONAL INEQUALITY, European journal of operational research, 106(1), 1998, pp. 198-203
Citations number
6
Categorie Soggetti
Management,"Operatione Research & Management Science","Operatione Research & Management Science
In this study, we discuss variational inequality problems when there i
s no solution. By applying fuzzy set theory, we ''soften'' the origina
l problem with fuzzy relation and denote it by (VI) over tilde(X,f). T
hen the solutions which satisfy the variation inequality to some degre
e mu,0 less than or equal to mu 1 are searched with minimum relaxation
. According to the proposed existence theorem, an approach derived fro
m the concepts of single objective mathematical programming problems f
or solving the (VI) over tilde(X,f) is proposed to find its fuzzy solu
tion set. (C) 1998 Elsevier Science Inc. All rights reserved.