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http://ifigenia.org/wiki/issue:nifs/25/4/21-29
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| Title of paper:
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Some remarks on n-uninorms in IF-sets
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| Author(s):
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| Martin Kalina
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| Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, SK-810 05 Bratislava, Slovakia
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| martin.kalina@stuba.sk
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 4, pages 21–29
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| DOI:
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10.7546/nifs.2019.25.4.21-29
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| Download:
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 PDF (182 Kb, File info)
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| Abstract:
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Uninorms and nullnorms are well-known monoidal and monotone operations on the unit interval. Akella [2007] proposed their genaralization to n-uninorms. Really, we get both, proper uninorms as well as proper nullnorms as special cases of 2-uninorms. Moreover, proper
uninorms as well as proper nullnorms can be characterized as 2-uninorms with some special types of 2-neutral elements. In the present paper, we discuss a classification of 2-uninorms from another point of view as it was done by Akella in 2007 and 2009. Then, we look at 2-uninorms in
IF-sets and point out some differences between 2-uninorms on the unit interval and 2-uninorms in IF-sets.
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| Keywords:
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IF-sets, Nullnorm, Uninorm, n-Uninorm.
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| AMS Classification:
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03E72, 08A72.
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| References:
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