extended tabu search on fuzzy traveling salesman problem in multi-criteria analysis

Montana State Univ, Univ Warwick, Shandong Univ, Natl Nat Sci Fdn ChinaThe paper proposes an extended tabu search algorithm for the traveling salesman problem (TSP) with fuzzy edge weights. The algorithm considers three important fuzzy ranking criteria including expected value, optimistic value and pessimistic value, and performs a three-stage search towards the Pareto front, involving a preferred criterion at each stage. Simulations demonstrate that our approach can produce a set of near optimal solutions for fuzzy TSP instances with up to 750 uniformly randomly generated nodes