Affiliations: [a] Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Nitra, Slovakia
| [b]
Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia
| [c] Department of Mathematics, Faculty of Natural Sciences, Matej Bel University Tajovského, Banská Bystrica, Slovakia
Correspondence:
[*]
Corresponding author. Dagmar Markechová, Department of Mathematics, Faculty of Natural Sciences, Constantine the Philosopher University, A. Hlinku 1, SK-94 901 Nitra, Slovakia. Tel.: +421 376 408 111; Fax: +421 376 408 020; E-mail: dmarkechova@ukf.sk.
Abstract: In the paper, we define the Shannon-typeentropyof experiments in the intuitionistic fuzzy case and derive its basic properties. Subsequently, the results concerning the entropy are used to introduce the concept of mutual information of intuitionistic fuzzy experiments. In addition, we define the Kullback-Leibler divergenceand its conditional versionin the intuitionistic fuzzy caseand examine the algebraic properties of the proposed quantities. The results are explained with several examples to illustrate the developed theory.
