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Part of book or chapter of book . 2002 . Peer-reviewed

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Binary Fuzzy Relations

Name: Binary Fuzzy Relations
Creator: Radim Bělohlávek

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2002Publisher:Springer US

Authors: Radim Bělohlávek;

doi: 10.1007/978-1-4615-0633-1_4

Binary Fuzzy Relations

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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 × Y → L (L is the support set of the complete residuated lattice L; for x ∈ X and y ∈ Y, 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.

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