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A fuzzy logic for an ordinal sum t-norm

Fuzzy Sets and Systems, 2005
The authors define an extension of the MTL logic of \textit{F. Esteva} and \textit{L. Godo} [ibid. 124, 271--288 (2001; Zbl 0994.03017)] by introducing the new fuzzy logic NMG in order to cope with the ordinal sum t-norms and their residua. The corresponding standard algebra is \(([0,1],*_W, {\to_W,} \max, \min,0,1)\), where \(*_W : [0,1]^2\to[0,1 ...
San-Min Wang, Bao-Shu Wang, Daowu Pei
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A characterization of ordinal sums being t-norms on bounded lattices by ordinal sums of drastic t-norms

International Conference on Fuzzy Systems, 2010
In recent years, the use of t-norms is increasing on several areas of Soft Computing, as well as the ordinal sum of t-norms, which is used to construct other t-norms. In this paper, given a family of pairwise disjoint subintervals of a bounded lattice, we present a characterization of the ordinal sum on the lattice being always a t-norm, for any ...
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Monotonicity in the Construction of Ordinal Sums of Fuzzy Implications

2017
In this contribution we discus the problem of monotonicity of intervals in the ordinal sums of fuzzy implication constructions. As a result, new ways of constructing of ordinal sums of fuzzy implications are obtained. These methods allow to adapt the value of fuzzy implication to specific requirements.
Michal Baczynski 0001   +2 more
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Various Kinds of Ordinal Sums of Fuzzy Implications

2015
In this contribution new ways of constructing of ordininal sum of fuzzy implications are presented. Moreover, some of their properties are examined, in particular neutral property, identity property, and ordering property.
Pawel Drygas, Anna Król
openaire   +1 more source

Characterization of n-uninorms with continuous underlying functions via z-ordinal sum construction

International Journal of Approximate Reasoning, 2021
Andrea Zemankova
exaly  

New construction of an ordinal sum of t-norms and t-conorms on bounded lattices

Information Sciences, 2020
Antonin Dvorak, Michal Holčapek
exaly  

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