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Abstract

This chapter is devoted to binary fuzzy relations. For quite a variety of problems, binary relations turn out to be a simple but very powerful tool. Recall that a binary L-relation between (nonempty) sets X and Y is any mapping R: X × YL (L is the support set of the complete residuated lattice L; for xX and yY, R(x,y) ∈ L is the truth degree to which x and y are in the relation R). Thus, L X ×Y is the set of all binary L-relations between X and Y.

Keywords

Binary Relation Fuzzy Relation Leibniz Rule Truth Degree Bivalent Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Radim Bělohlávek

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