Issue:On the embedding of continuous states

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http://ifigenia.org/wiki/issue:nifs/22/5/43-45

Title of paper: On the embedding of continuous states Author(s): Beloslav Riečan Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, Bratislava, Slovakia Beloslav.Riecan@umb.sk Jaroslav Považan Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 5, pages 43—45 Download:  PDF (123  Kb, File info) Abstract: There is known the assertion that any state on a family F of IF-events can be embedded to an MV-algebra generated by F. In the contribution the assertion is extended for non-additive only upper and lower continuous mappings. Keywords: Continuous states, Embedding AMS Classification: 03E72. References: Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Aplications. Physica-Verlag, Heidelberg. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin. Kluvancová , D. On non-additive IF states (in preparation). Riečan, B. (2015) Embedding of IF states to MV-algebras. In: Intelligent Systems 2014, Proc. 7th IEEE Int. Conf. Springer, 157–162. Riečan, B., & Samuelčík, K. On non-additive probability measures. Mathematica Slovaca (to appear). Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.