An alternative formulation for the fuzzy assignment problem / A. Emrouznejad in Journal of the operational research society (JORS), Vol. 63 N° 1 (Janvier 2012)  

Public ISBD [article]  inJournal of the operational research society (JORS) > Vol. 63 N° 1 (Janvier 2012) . - pp. 59–63 Titre : An alternative formulation for the fuzzy assignment problem Type de document : texte imprimé Auteurs : A. Emrouznejad, Auteur ; M. L. Zerafat Angiz, Auteur ; W. Ho, Auteur Année de publication : 2012 Article en page(s) : pp. 59–63 Note générale : Recherche opérationnelle Langues : Anglais (eng) Mots-clés : Assignment problem Fuzzy data Data envelopment analysis Index. décimale : 001.424 Résumé : The existing assignment problems for assigning n jobs to n individuals are limited to the considerations of cost or profit measured as crisp. However, in many real applications, costs are not deterministic numbers. This paper develops a procedure based on Data Envelopment Analysis method to solve the assignment problems with fuzzy costs or fuzzy profits for each possible assignment. It aims to obtain the points with maximum membership values for the fuzzy parameters while maximizing the profit or minimizing the assignment cost. In this method, a discrete approach is presented to rank the fuzzy numbers first. Then, corresponding to each fuzzy number, we introduce a crisp number using the efficiency concept. A numerical example is used to illustrate the usefulness of this new method. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n1/abs/jors201114a.html [article] An alternative formulation for the fuzzy assignment problem [texte imprimé] / A. Emrouznejad, Auteur ; M. L. Zerafat Angiz, Auteur ; W. Ho, Auteur . - 2012 . - pp. 59–63. Recherche opérationnelle Langues : Anglais (eng) in Journal of the operational research society (JORS) > Vol. 63 N° 1 (Janvier 2012) . - pp. 59–63 Mots-clés : Assignment problem Fuzzy data Data envelopment analysis Index. décimale : 001.424 Résumé : The existing assignment problems for assigning n jobs to n individuals are limited to the considerations of cost or profit measured as crisp. However, in many real applications, costs are not deterministic numbers. This paper develops a procedure based on Data Envelopment Analysis method to solve the assignment problems with fuzzy costs or fuzzy profits for each possible assignment. It aims to obtain the points with maximum membership values for the fuzzy parameters while maximizing the profit or minimizing the assignment cost. In this method, a discrete approach is presented to rank the fuzzy numbers first. Then, corresponding to each fuzzy number, we introduce a crisp number using the efficiency concept. A numerical example is used to illustrate the usefulness of this new method. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v63/n1/abs/jors201114a.html

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