A consistency-based procedure to estimate missing pairwise preference values

Authors:
S. Alonso;F. Chiclana;F. Herrera;E. Herrera-Viedma;J. Alcalá-Fdez;C. Porcel
Affiliations:
Department of Computer Science and Artifical Intelligence, University of Granada, 18071 Granada, Spain;Centre for Computational Intelligence, School of Computing, De Montfort University, Leicester LE1 9BH, UK;Department of Computer Science and Artifical Intelligence, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artifical Intelligence, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artifical Intelligence, University of Granada, 18071 Granada, Spain;Department of Computer Science and Artifical Intelligence, University of Granada, 18071 Granada, Spain
Venue:
International Journal of Intelligent Systems
Year:
2008

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Abstract

In this paper, we present a procedure to estimate missing preference values when dealing with pairwise comparison and heterogeneous information. This procedure attempts to estimate the missing information in an expert's incomplete preference relation using only the preference values provided by that particular expert. Our procedure to estimate missing values can be applied to incomplete fuzzy, multiplicative, interval-valued, and linguistic preference relations. Clearly, it would be desirable to maintain experts' consistency levels. We make use of the additive consistency property to measure the level of consistency and to guide the procedure in the estimation of the missing values. Finally, conditions that guarantee the success of our procedure in the estimation of all the missing values of an incomplete preference relation are given. © 2008 Wiley Periodicals, Inc.