Abstract
In decision-making, information is usually provided by means of fuzzy preference relations. However, there may be cases in which experts do not have an in-depth knowledge of the problem to be solved, and thus their fuzzy preference relations may be incomplete, i.e. some values may not be given or may be missing. In this paper we present a procedure to find out the missing values of an incomplete fuzzy preference relation using the values known. We also define an expert consistency measure, based on additive consistency property. We show that our procedure to find out the missing values maintains the consistency of the original, incomplete fuzzy preference relation provided by the expert. Finally, to illustrate all this, an example of the procedure is presented.
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References
Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems 97, 33–48 (1998)
Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Application. Academic Press, New York (1980)
Fodor, J., Roubens, M.: Fuzzy preference modelling and multicriteria decision support. Kluwert, Dordrecht (1994)
Herrera-Viedma, E., Herrera, E., Chiclana, F., Luque, F., Some, M.: issues on consistency of fuzzy preference relations. European Journal of Operational Research 154, 98–109 (2004)
Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems 18, 105–118 (1986)
Kim, S.H., Choi, S.H., Kim, J.K.: An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research 118, 139–152 (1999)
Orlovski, S.: Decision-making with fuzzy preference relations. Fuzzy Sets and Systems 1, 155–167 (1978)
Tanino, T.: Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems 12, 117–131 (1984)
Xu, Z.S.: Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning (2004) (to appear)
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© 2004 Springer-Verlag Berlin Heidelberg
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Alonso, S., Chiclana, F., Herrera, F., Herrera-Viedma, E. (2004). A Learning Procedure to Estimate Missing Values in Fuzzy Preference Relations Based on Additive Consistency. In: Torra, V., Narukawa, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2004. Lecture Notes in Computer Science(), vol 3131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27774-3_22
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DOI: https://doi.org/10.1007/978-3-540-27774-3_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22555-3
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