Affiliations: Department of Mathematics, College of Science, Arak Branch, Islamic Azad University, Arak, Iran
Note: [] Corresponding author. Mohammad Izadikhah, Department of Mathematics, College of Science, Arak Branch, Islamic Azad University, P.O. Box 38135/567, Arak, Iran. Tel.: +98 86 33663041; E-mails: [email protected], [email protected]
Abstract: The evaluation and selection of the appropriate machine tools is one of the most critical decisions in the design and development of an efficient production environment and the use of fuzzy set theory allows incorporating qualitative and partially known information into the decision model. This paper describes a fuzzy goal programming method for evaluation and selection of machine tool alternatives for a manufacturing company in Iran. Our approach applied triangular numbers into traditional goal programming method, and we investigated deriving fuzzy weights of criteria from the pair-wise comparison matrix with fuzzy elements. To our knowledge, no previous work investigated such problem with fuzzy goal programming. In almost fuzzy decision making problems other fuzzy methods like fuzzy AHP, fuzzy TOPSIS and etc. are used. And most of them obtained the crisp weights from fuzzy pair-wise decision matrix. Moreover, in this method we obtain the fuzzy weights by solving a simple linear programming. As a result of the study, we find that the proposed method is practical for ranking machine tool alternatives with respect to multiple conflicting criteria.
