Issue:Non-additive IF-states

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http://ifigenia.org/wiki/issue:nifs/23/3/23-29

Title of paper: Non-additive IF-states Author(s): Daniela Kluvancová Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica daniela.kluvancova@umb.sk Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 3, pages 23—29 Download:  PDF (157 Kb  Kb, File info) Abstract: The additivity of measures is one of the key property in probability theory and it is used in many proofs. In [3], authors proved that additivity can be omitted in some problems of probability theory. In this paper we have extended this idea to space of intuitionistic fuzzy sets. Keywords: IF-set, Probability, Distribution function, Central limit theorem. AMS Classification: 03E72 References: Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Springer Physica Verlag, Heidelberg. Petrovičová, J., & Riečan B. (2010) On the Lukasiewicz probability theory on IF-sets. Tatra Mountains Mathematical Publications, 46, 125–146. Riečan, B., & Samuelčík, K. On non-additive probability measures (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.