Generalized variational inequalities with fuzzy relation
type: Item
instance of: scholarly article
title: Generalized variational inequalities with fuzzy relation
zbMATH Open document ID: 1009.65037
DOI: 10.1016/S0377-0427(02)00417-X
author: Cheng-Feng Hu
published in: Journal of Computational and Applied Mathematics
publication date: 2002-09-17T00:00:00Z
review text: Known techniques of variational optimization are applied here to a fuzzy optimization problem. Using \(\alpha\)-levels of a fuzzy constraint, the author describes an optimal solution on the level \(\alpha.\) Next, the successive approximation procedure leads to a maximizing solution. A numerical example is calculated with the aid of Maple V (a symbolic solver).
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 1801717
zbMATH Keywords: variational inequality
zbMATH Keywords: fuzzy relation
zbMATH Keywords: level set
zbMATH Keywords: fuzzy optimization
zbMATH Keywords: algorithm
zbMATH Keywords: numerical example
zbMATH Keywords: Maple V
describes a project that uses: Maple
MaRDI profile type: Publication
cites work: Decision-Making in a Fuzzy Environment
cites work: Generalized variational inequalities
cites work: Entropy optimization and mathematical programming
cites work: Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints
cites work: Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
cites work: Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
cites work: Q4040359
cites work: Double penalty method for bilevel optimization problems
cites work: Network design problem with congestion effects: A case of bilevel programming
cites work: Exact and inexact penalty methods for the generalized bilevel programming problem
cites work: Q5638112
cites work: Extension of the Generalized Complementarity Problem
cites work: Q3997786
full work available at URL: s0377-0427(02)00417-x
OpenAlex ID: W2007979700
description: scientific article; zbMATH DE number 1801717