16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:On some methods of study of states on interval valued fuzzy sets

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Title of paper: On some methods of study of states on interval valued fuzzy sets
Alžbeta Michalíková
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Mathematical Institute, Slovak Academy of Sciences, Dumbierska 1, Banská Bystrica, Slovakia
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 Beloslav Riečan 
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 5–12
DOI: https://doi.org/10.7546/nifs.2018.24.4.5-12
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Abstract: In this paper the state on interval valued fuzzy sets is studied. Two methods are considered: a representation of a state by a Kolmogorov probability and an embedding to an MV-algebra. The Butnariu–Klement representation theorem for interval valued fuzzy sets as a relation between probability measure and state is presented.
Keywords: IF-set, IV -set, State, Central limit theorem.
AMS Classification: 03E72
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