Dynamic variational inequality in fuzzy environments

Xing Wang (), Zeng-bao Wu (), Yi-bin Xiao () and Kok Lay Teo ()
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Xing Wang: Jiangxi University of Finance and Economics
Zeng-bao Wu: Luoyang Normal University
Yi-bin Xiao: University of Electronic Science and Technology of China
Kok Lay Teo: Sunway University

Fuzzy Optimization and Decision Making, 2020, vol. 19, issue 3, No 2, 275-296

Abstract: Abstract This paper introduces a class of differential fuzzy variational inequalities, the model provides an efficient approach for solving many dynamic multi-objective optimization problems in fuzzy environments. An existence theorem of the Carathéodory weak solution for the model is established under some suitable assumptions. An algorithm, supported by the convergence analysis, is developed to find the solution. In addition, some examples are given to illustrate the application and the algorithm.

Keywords: Fuzzy variational inequality; Differential variational inequality; Fuzzy set; Dynamic system; Variational inequality; 49J40; 47J20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10700-020-09322-z

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