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Flexible linear programs with a restricted overall flexibility level

Robert Fullér, Margit Kovacs, Schuster György, Flexible linear programs with a restricted overall flexibility level. Fuzzy Sets and Systems 127, 177–183, 2002.

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.

BibTeX entry:

@ARTICLE{jFuMaGy02a,
  title = {Flexible linear programs with a restricted overall flexibility level},
  author = {Fullér, Robert and Kovacs, Margit and György, Schuster},
  journal = {Fuzzy Sets and Systems},
  volume = {127},
  pages = {177–183},
  year = {2002},
}

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