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Diversity of Opinion Evaluated by Ordered Fuzzy Numbers

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Artificial Intelligence and Soft Computing (ICAISC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7894))

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Abstract

Diversity of opinion is an empirical fact often appearing in social networks. In the paper known statistical methods of evaluation is substituted by fuzzy concepts, namely Step Ordered Fuzzy Numbers (SOFN). SOFN are extentions of Ordered Fuzzy Numbers (OFN) introduced by Kosiński, Prokopowicz and Ślęzak in 2002. In 2011 Kacprzak and Kosiński observed that SOFN may be equipped with a lattice structure. In consequence, Boolean operations like conjunction, disjunction and, what is more important, diverse types of implications can be defined on SOFN. In this paper we show how SOFN can be applied for modelling diversity of beliefs even in fuzzy expressions.

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Kacprzak, M., Kosiński, W., Węgrzyn-Wolska, K. (2013). Diversity of Opinion Evaluated by Ordered Fuzzy Numbers. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38658-9_25

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  • DOI: https://doi.org/10.1007/978-3-642-38658-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38657-2

  • Online ISBN: 978-3-642-38658-9

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