Results 111 to 120 of about 8,801 (134)
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On the determination of left-continuous t-norms and continuous archimedean t-norms on some segments
Aequationes mathematicae, 2005A \(t\)(riangular) norm is a function \(T:[0,1]^2\to [0,1]\) such that for all \(x,y,z\in [0,1]\) we have \(T(x,y)=T(y,x),\,T(T(x,y),z)=T(x,T(y,z)),\,T(x,1)=x\) and \(T(x,\cdot)\) is increasing. The author finds new sets of uniqueness for (continuous Archimedean and left continuous) \(t\)-norms. These sets of uniqueness are some vertical segments of \([
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The dominance relation in some families of continuous Archimedean t-norms and copulas
Fuzzy Sets and Systems, 2009Recently, \textit{P. Sarkoci} [Aequationes Math. 75, No. 3, 201--207 (2008; Zbl 1148.26016)] has shown that the dominance relation is not transitive in the class of continuous t-norms. When applying triangular norms, mostly some special families are considered and then it is important to know whether the transitivity of the dominance relation holds in ...
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A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm
Fuzzy Sets and Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 2013
Recently, we have examined the solutions of the following distributivity functional equation I(x,S"1(y,z))=S"2(I(x,y),I(x,z)), when S"1, S"2 are continuous, Archimedean t-conorms and I is an unknown function. In particular, between these solutions, we have shown that implication functions are among its solutions.
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Recently, we have examined the solutions of the following distributivity functional equation I(x,S"1(y,z))=S"2(I(x,y),I(x,z)), when S"1, S"2 are continuous, Archimedean t-conorms and I is an unknown function. In particular, between these solutions, we have shown that implication functions are among its solutions.
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2012
During previous IPMU 2010 conference we have started investigations connected with finding all solutions of the distributive equation of implications \(\mathcal{I}(x,\mathcal{T}_1(y,z)) = \mathcal{T}_2(\mathcal{I}(x,y),\mathcal{I}(x,z))\) over t-representable t-norms in interval-valued fuzzy sets theory, i.e., when t-representable t-norms \(\mathcal{T ...
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During previous IPMU 2010 conference we have started investigations connected with finding all solutions of the distributive equation of implications \(\mathcal{I}(x,\mathcal{T}_1(y,z)) = \mathcal{T}_2(\mathcal{I}(x,y),\mathcal{I}(x,z))\) over t-representable t-norms in interval-valued fuzzy sets theory, i.e., when t-representable t-norms \(\mathcal{T ...
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2013
In this article we continue investigations presented at previous WILF 2011 conference which are connected with distributivity of implication operations over t-representable t-norms and t-conorms. Our main goal is to show the general method of solving the following distributivity equation \(\mathcal{I}(\mathcal{S}(x,y),z) = \mathcal{T}(\mathcal{I}(x,z),\
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In this article we continue investigations presented at previous WILF 2011 conference which are connected with distributivity of implication operations over t-representable t-norms and t-conorms. Our main goal is to show the general method of solving the following distributivity equation \(\mathcal{I}(\mathcal{S}(x,y),z) = \mathcal{T}(\mathcal{I}(x,z),\
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Pseudo-uninorms with continuous Archimedean underlying functions
Fuzzy Sets and Systems, 2023Andrea Zemankova
exaly
Constructing new loss functions for machine learning using strict continuous Archimedean t-norms
2025 11th International Conference on Optimization and Applications (ICOA)Mohamed Hssini, Mustapha Atraoui
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Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm
Knowledge-Based Systems, 2012Meimei Xia, Zeshui Xu, Bin Zhu
exaly