New Pareto approach for ranking triangular fuzzy numbers

Oumayma Bahri (1) , Nahla Ben Amor (1) , El-Ghazali Talbi (2, 3, 4)

1 LARODEC - Laboratoire de Recherche Opérationnelle de Décision et de Contrôle de Processus
2 DOLPHIN - Parallel Cooperative Multi-criteria Optimization
3 LIFL - Laboratoire d'Informatique Fondamentale de Lille
4 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

Ranking fuzzy numbers is an important aspect in dealing with fuzzy optimization problems in many areas. Although so far, many fuzzy ranking methods have been discussed. This paper proposes a new Pareto approach over triangular fuzzy numbers. The approach is composed of two dominance stages. In the first stage, mono-objective dominance relations are introduced and tested with some examples. In the second stage, a Pareto dominance is defined for multi-objective optimization and then applied to solve a vehicle routing problem (VRP).

Domaines: Recherche opérationnelle [math.OC]

Oumayma Bahri, Nahla Ben Amor, El-Ghazali Talbi. New Pareto approach for ranking triangular fuzzy numbers. IPMU 2014 : 15th International Conference nformation Processing and Management of Uncertainty in Knowledge-Based Systems, Jul 2014, Montpellier, France. pp.264-273, ⟨10.1007/978-3-319-08855-6_27⟩. ⟨hal-01107761⟩