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Intuitionistic Fuzzy Relations (IFRs)

  • Krassimir T. Atanassov
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 283)

Abstract

First, we define six versions of another operation over IFSs – namely, Cartesian products of two IFSs. To introduce the concept of intuitionistic fuzzy relation, we use these operations.

Let E 1 and E 2 be two universes and let
$$ \begin{array} {cll} A &= & \lbrace \langle x, \mu_{A}(x), \nu_{A}(x)\rangle | x\in E_{1} \rbrace,\\ B &= & \lbrace \langle y, \mu_{B}(y), \nu_{B}(y)\rangle | y\in E_{2} \rbrace,\\ \end{array} $$
be two IFSs over E 1 and over E 2, respectively.

Keywords

Measurement Tool Reliability Score Commutative Semigroup Commutative Monoid Index Matrix 
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-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical EngineeringBulgarian Academy of SciencesSofiaBulgaria

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