Issue:Constructions for t-conorms and t-norms on interval-valued and interval-valued intuitionistic fuzzy sets by paving

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Title of paper: Constructions for t-conorms and t-norms on interval-valued and interval-valued intuitionistic fuzzy sets by paving
Author(s):
Martin Kalina
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology Radlinskeho, 11, SK-810 05 Bratislava, Slovakia
martin.kalinaAt sign.pngstuba.sk
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 3, pages 1–12
DOI: https://doi.org/10.7546/nifs.2020.26.3.1-12
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Abstract: Paving is a method for constructing new operations from a given one. Kalina and Kral in 2015 showed that on the real unit interval this method can be used to construct associative, commutative and monotone operations from particular given operations (from basic ‘paving stones’). In the present paper we modify the construction method for interval-valued fuzzy sets. From given (possibly representable) t-norms and t-conorms we construct new, non-representable operations. In the last section, we modify the presented construction method for interval-valued intuitionistic fuzzy sets.
Keywords: Interval-valued fuzzy sets, Interval-valued intuitionistic fuzzy sets, Paving, t-norm, t-conorm.
AMS Classification: 03E72, 08A72.
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