Linear programming with a possibilistic objective function
type: Item
instance of: scholarly article
title: Linear programming with a possibilistic objective function
zbMATH Open document ID: 0635.90057
DOI: 10.1016/0377-2217(87)90144-5
published in: European Journal of Operational Research
publication date: 1987-01-01T00:00:00Z
review text: This paper proposes some ways for dealing with a linear programming problem when the coefficients of the objective function are subject to possibilistic imprecision, i.e. they are characterized by fuzzy sets. Two approaches are presented and emphasis is placed upon a passive one that yields a satisfying solution via an appropriate semi-infinite program. The active approach allows to reach a solution with a high possibility level of optimality. Extensions to the possibilistic constraints case and to the case of multiple objective programming problems with possibilistic coefficients are also indicated.
reviewed by: Jaroslav Ramík
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C15
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 4035564
zbMATH Keywords: possibilistic imprecision
zbMATH Keywords: fuzzy sets
zbMATH Keywords: semi-infinite program
zbMATH Keywords: multiple objective programming
zbMATH Keywords: possibilistic coefficients
author: M. K. Luhandjula
MaRDI profile type: Publication
full work available at URL: 0377-2217(87)90144-5
OpenAlex ID: W2008438626
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description: scientific article; zbMATH DE number 4035564