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Interval t-norms as Interval Representations of t-norms
The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05., 2005In this paper a new interval generalization for t-norms is proposed. The main property of our generalization is that each interval t-norm can be seen as an interval representation of a t-norm and, therefore, can be used to deal with correctness of interval fuzzy algorithms.
B.R.C. Bedregal, A. Takahashi
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T-Norms on Bounded Lattices: t-norm Morphisms and Operators
2006 IEEE International Conference on Fuzzy Systems, 2006Triangular norms or t-norm, in short, and automorphisms are very useful to fuzzy logics in the narrow sense. Moreover, these notions are usually limited to the set [0,1]. In this paper we will consider a well known generalization of the t-norm for arbitrary bounded lattices and provide a generalization of automorphism notion for this same structure. We
B.C. Bedregal +2 more
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Generalized Extended t-Norms as t-Norms of Type 2
2009 39th International Symposium on Multiple-Valued Logic, 2009This research work focuses on the logical connectives for type 2 fuzzy logics. Especially, the operators which are obtained by extending continuous t-(co)norms to the case of fuzzy truth values by mean of the generalized extension principle are considered.
Mayuka F. Kawaguchi, Masaaki Miyakoshi
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Monoidal t-norm based logictowards a logic for left-continuous t-norms
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esteva, Francesc, Godo, Lluís
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New Mathematics and Natural Computation, 2018
We generalize the definition of a fuzzy graph by replacing minimum in the basic definitions with an arbitrary [Formula: see text]-norm. The reason for this is that some applications are better modeled with a [Formula: see text]-norm other than minimum.
John N. Mordeson, Sunil Mathew
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We generalize the definition of a fuzzy graph by replacing minimum in the basic definitions with an arbitrary [Formula: see text]-norm. The reason for this is that some applications are better modeled with a [Formula: see text]-norm other than minimum.
John N. Mordeson, Sunil Mathew
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Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walker, Carol L., Walker, Elbert A.
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Walker, Carol L., Walker, Elbert A.
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Fuzzy Sets and Systems, 1998
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Buckley, J. J., Siler, W.
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Buckley, J. J., Siler, W.
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Information Sciences, 2006
The main aim of this paper is a closer look at a method for constructing cancellative left-continuous t-norms derived from an example of Hájek [see \textit{P. Hájek}, ``Observations on monoidal t-norm logic'', Fuzzy Sets Syst. 132, 107--112 (2002; Zbl 1012.03035)] -- the \(H\)-transformation of t-norms.
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The main aim of this paper is a closer look at a method for constructing cancellative left-continuous t-norms derived from an example of Hájek [see \textit{P. Hájek}, ``Observations on monoidal t-norm logic'', Fuzzy Sets Syst. 132, 107--112 (2002; Zbl 1012.03035)] -- the \(H\)-transformation of t-norms.
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