Abstract
This chapter is devoted to the study of fuzzy relations, a mathematical concept which models fuzzy relations. The first section presents the definition of fuzzy sets and fuzzy relations together with a short discussion on their significance. Section 4.2 studies the continuous t-norms and the residuated structure induced by the real interval [0, 1]. In Section 4.3 there are defined operations with fuzzy sets and fuzzy relations, while Section 4.4 deals with the main properties of fuzzy relations and the associated indicators. The last section of the chapter deals with a fuzzy version of a theorem belonging to Szpilrajn. This result will be used in Chapter 7 for a fuzzy approach of a Richter theorem in classical consumer theory.
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Georgescu, I. (2007). Fuzzy Preference Relations. In: Fuzzy Choice Functions. Studies in Fuzziness and Soft Computing, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68998-0_4
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DOI: https://doi.org/10.1007/978-3-540-68998-0_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68997-3
Online ISBN: 978-3-540-68998-0
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