English

On a fully fuzzy framework for minimax mixed integer linear programming

Optimization and Control 2018-02-21 v1

Abstract

In this work, we present a modeling framework for minimax mixed 0-1 fuzzy linear problems. It is based on extending the usual rewriting of crisp minimax problems via auxiliary variables to model the maximum of a finite set of fuzzy linear functions. We establish that the considered problem can be equivalently formulated as a multiple objective mixed integer programming problem. The framework is applied to a fully fuzzy version of the capacitated center facility location problem.

Keywords

Cite

@article{arxiv.1802.07029,
  title  = {On a fully fuzzy framework for minimax mixed integer linear programming},
  author = {Manuel Arana-Jiménez and Víctor Blanco},
  journal= {arXiv preprint arXiv:1802.07029},
  year   = {2018}
}

Comments

18 pages, 5 Figures

R2 v1 2026-06-23T00:27:23.578Z