A Class of Nonlinear Fuzzy Variational Inequality Problems

Cunlin Li, Zhifu Jia and Yeong-Cheng Liou
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Cunlin Li: School of Management, Ningxia Key Laboratory of intelligent information and Big Data Processing, North Minzu University, Yinchuan 750021, China
Zhifu Jia: School of Mathematics and Information Science, Ningxia Collaborative Innovation Center of Scientific Computation and Intelligent Information Processing, North Minzu University, Yinchuan 750021, China
Yeong-Cheng Liou: Department of Healthcare Administration and Medical Informatics, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan

Mathematics, 2019, vol. 7, issue 1, 1-13

Abstract: In this paper, we consider nonlinear variational inequality problems with fuzzy variables. The fuzzy variables were introduced to deal with the variational inequality containing noise for which historical data is not available. The fuzzy expected residual minimization (FERM) problems were established. We discussed the S C 1 property of the FERM model. Furthermore, results of convergence analysis were obtained based on an approximation model of the FERM model. The convergence of global optimal solutions and the convergence of stationary points were analysed.

Keywords: fuzzy variational inequalities; fuzzy set theory; expected residual functions; SC 1 property of FERM model; compact approximations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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