A fixed-charge model with fuzzy inequality constraints composed by max-product operator
type: Item
instance of: scholarly article
title: A fixed-charge model with fuzzy inequality constraints composed by max-product operator
zbMATH Open document ID: 0935.90048
DOI: 10.1016/S0898-1221(98)00170-9
author: S. H. Smith
publication date: 2000-01-30T00:00:00Z
review text: The paper deals with a generalized fixed-charge model with monotonous increasing function. It is shown that its feasible domain is nonconvex which means that the usual convex programming procedures are not applicable. An inconsistency analysis of the model is provided and a procedure for the optimal solution of the model, based on the processing of fuzzy relation inequalities composed by the max-product operator is analyzed. The max-product operator was chosen as the usual representative of compensatory operators adequate to the modelling of trade-off behaviour. The theoretical model is illustrated by a numerical example.
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1371541
zbMATH Keywords: infeasibility
zbMATH Keywords: composite operator
zbMATH Keywords: generalized fixed-charge model
zbMATH Keywords: inconsistency
zbMATH Keywords: fuzzy relation inequalities
zbMATH Keywords: max-product operator
zbMATH Keywords: modelling of trade-off behaviour
reviewed by: Milan Mareš
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1371541