Abstract | ||
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In this study, we discuss variational inequality problems when there is no solution. By applying fuzzy set theory, we “soften” the original problem with fuzzy relation and denote it by VĨ. Then the solutions which satisfy the variation inequality to some degree μ, 0 ⩽ μ ⩽ 1 are searched with minimum relaxation. According to the proposed existence theorem, an approach derived from the concepts of single objective mathematical programming problems for solving the VĨ is proposed to find its fuzzy solution set. |
Year | DOI | Venue |
---|---|---|
1998 | 10.1016/S0377-2217(98)00312-9 | European Journal of Operational Research |
Keywords | Field | DocType |
Variational inequality,Generalized complementarity problems,Single objective programming problems,Fuzzy relation,Infeasibility | Existence theorem,Mathematical optimization,Fuzzy logic,Complementarity theory,Fuzzy set,Inequality,Solution set,Fuzzy number,Mathematics,Variational inequality | Journal |
Volume | Issue | ISSN |
106 | 1 | 0377-2217 |
Citations | PageRank | References |
2 | 1.03 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hsiao-Fan Wang | 1 | 278 | 27.24 |
Hsueh-Ling Liao | 2 | 2 | 1.03 |