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Interactive multiple objective programming subject to flexible constraints
Affiliation:1. Information Management Faculty, Neu-Ulm University of Applied Sciences, Wileystraße 1, 89231, Neu-Ulm, Germany.;1. Instituto Potosino de Investigación Científica y Tecnológica A.C., Camino a la Presa San José 2055, Col. Lomas 4ª, San Luis Potosí, S.L.P. 78216, Mexico;2. CPM-TIP, University Pavol Jozef Safárik, Park Angelinum 9, 04154 Kosice, Slovakia;3. División Multidisciplinaria, Ciudad Universitaria, Universidad Autónoma de Ciudad Juárez (UACJ), Calle José de Jesús Macías Delgado # 18100, Ciudad Juárez 32579, Chihuahua, Mexico;4. Departamento de Física, Universidad de Oviedo, Calvo Sotelo s/n, 33007 Oviedo, Spain;1. Departament d’Economia i Empresa, Universitat Pompeu Fabra, Ramon Trias Fargas 25-27, 08005, Barcelona, Spain.;2. INSEAD. Bvd de Constance, 77305, Fontainebleau, France.;1. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA;2. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Abstract:An interactive decision support system is introduced which aids in solving multiple objective programming problems subject to strict and flexible constraints. Integral part is an extension of a well-known fuzzy sets approach evaluating possible solutions by their degrees of membership to objectives and constraints. This approach is linked to classical multiple objective programming models. If the decision maker cannot determine membership functions a priori the system suggests functions dependent on the given information and interactive modifications are allowed.
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