Measuring criteria weights by means of Dimension Theory.



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Gomez, Daniel and Montero, Javier and Yáñez, Javier (2006) Measuring criteria weights by means of Dimension Theory. Mathware & Soft Computing, 13 (3). pp. 173-188. ISSN 1134-5632

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Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating
those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible underlying criteria in decision maker’s mind. In particular, we propose to measure the importance of those
underlying criteria by means of all possible representations associated to the dimension of the binary preference relations between criteria, each one being
understood as a linear order of the set of alternatives.

Item Type:Article
Uncontrolled Keywords:Multicriteria Decision Analysis; Valued Preference Relations; Dimension Theory
Subjects:Sciences > Mathematics > Topology
ID Code:29070
Deposited On:06 Mar 2015 08:55
Last Modified:03 Jun 2016 14:17

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