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Solving NP-Hard problems by using fuzzy sets-based heuristics

Author

Listed:
  • José Luis Verdegay
  • Edmundo Vergara-Moreno

Abstract

The main aim of this paper is to show how fuzzy sets and systems can be used to produce optimization algorithms able of being applied in a variety of practical situations. Fuzzy sets-based heuristics for Linear Programming problems are considered. To show the practical realisations of the approach proposed a metaheuristic proving the efficiency of using fuzzy rules as termination criteria is shown. Then the Travelling Salesman Problem and the Knapsack Problem are assumed and solved by means of this metaheuristic giving rise in this way to new heuristic algorithms solving these problems. Finally, as an illustration, some practical results showing the outstanding potential of these algorithms are shown.

Suggested Citation

  • José Luis Verdegay & Edmundo Vergara-Moreno, 2003. "Solving NP-Hard problems by using fuzzy sets-based heuristics," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 13(4), pages 167-183.
    • Handle: RePEc:wut:journl:v:4:y:2003:p:14
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