Flexible linear programs with a restricted overall flexibility level

R. Fullér, Margit Kovács, György Schuster

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is usually supposed that tolerance levels are determined by the decision maker a priori in flexible linear programming (FLP) problems. In this paper, we shall suppose that the decision maker does not care about the particular values of tolerance levels, but he wishes to keep their sum below a predetermined level which we call his overall flexibility level. We also suppose that his overall flexibility level is soft, i.e. it is admissible to exceed it (to a certain extent). This is a new statement of FLP problems, because here the tolerance levels are also treated as variables, and the only restriction on them is that their sum should not exceed very much a given level. In this setup, we shall prove that the consistency level of FLP problems depends continuously on the decision maker's overall flexibility level.

Original languageEnglish
Pages (from-to)177-183
Number of pages7
JournalFuzzy Sets and Systems
Volume127
Issue number2
DOIs
Publication statusPublished - Apr 16 2002

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Linear Program
Linear programming
Tolerance
Flexibility
Exceed
Restriction
Linear program
Decision maker

Keywords

  • Flexible linear programming
  • Stability

ASJC Scopus subject areas

  • Statistics and Probability
  • Electrical and Electronic Engineering
  • Statistics, Probability and Uncertainty
  • Information Systems and Management
  • Computer Vision and Pattern Recognition
  • Computer Science Applications
  • Artificial Intelligence

Cite this

Flexible linear programs with a restricted overall flexibility level. / Fullér, R.; Kovács, Margit; Schuster, György.

In: Fuzzy Sets and Systems, Vol. 127, No. 2, 16.04.2002, p. 177-183.

Research output: Contribution to journalArticle

Fullér, R. ; Kovács, Margit ; Schuster, György. / Flexible linear programs with a restricted overall flexibility level. In: Fuzzy Sets and Systems. 2002 ; Vol. 127, No. 2. pp. 177-183.
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