Using interval weights in MADM problems. (October 2019)

• Record Type: Journal Article
• Authors: Llamazares, Bonifacio
• Is Part Of: Computers & industrial engineering. Volume 136(2019)
• Page Start: 345
• Page End: 354
• Publication Date: 2019-10
• Subjects: MADM problems -- Variable weights -- Interval weights -- SAW method; Engineering -- Data processing -- Periodicals; Industrial engineering -- Periodicals; 620.00285
• DOI: 10.1016/j.cie.2019.07.035
• Languages: English
• ISSNs: 0360-8352

Abstract

Highlights: A new model based on interval weights is proposed for solving MADM problems. Closed-form expressions for the scores of alternatives are given. An application of this new method to an MADM problem is carried out. Abstract: The choice of weights vectors in multiple attribute decision making (MADM) problems has generated an important literature, and a large number of methods have been proposed for this task. In some situations the decision maker (DM) may not be willing or able to provide exact values of the weights, but this difficulty can be avoided by allowing the DM to give some variability in the weights. In this paper we propose a model where the weights are not fixed, but can take any value from certain intervals, so the score of each alternative is the maximum value that the weighted mean can reach when the weights belong to those intervals. We provide a closed-form expression for the scores achieved by the alternatives so that they can be ranked them without solving the proposed model, and apply this new method to an MADM problem taken from the literature.