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New Pareto approach for ranking triangular fuzzy numbers. (English) Zbl 1418.90289
Laurent, Anne (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. 15th international conference, IPMU 2014, Montpellier, France, July 15–19, 2014. Proceedings. Part II. Cham: Springer. Commun. Comput. Inf. Sci. 443, 264-273 (2014).
Summary: 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).
For the entire collection see [Zbl 1385.68006].

MSC:
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
03E72 Theory of fuzzy sets, etc.
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