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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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Limit T-Norms as a Basis for the Construction of New T-Norms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001Transformation of the Minimum t-norm TM by means of a non-decreasing transformation φ of the unit interval [0, 1] yielding triangular norm is studied. Full characterization of such φ is given. In the same spirit, transformations of the Drastic product TD are studied.
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2000
Generalizing the inverse of a bijective function, we consider the pseudo-inverse of monotone functions from [0, 1] to [0, 1]. Introducing a construction similar to the one given in [Schweizer & Sklar 1983, Theorem 5.2.1] with the help of the so-called quasi-inverses, we state a rather general method to construct new t-norms from known t-norms using the
Erich Peter Klement +2 more
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Generalizing the inverse of a bijective function, we consider the pseudo-inverse of monotone functions from [0, 1] to [0, 1]. Introducing a construction similar to the one given in [Schweizer & Sklar 1983, Theorem 5.2.1] with the help of the so-called quasi-inverses, we state a rather general method to construct new t-norms from known t-norms using the
Erich Peter Klement +2 more
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2000
When we introduced several important families of t-norms in Chapter 4, we mentioned already (without proof) that all these families are continuous with respect to the parameter, i.e., that we have pointwise convergence of the t-norms if the corresponding parameters converge (some of these statements are trivial, some of them follow directly from [Dombi
Erich Peter Klement +2 more
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When we introduced several important families of t-norms in Chapter 4, we mentioned already (without proof) that all these families are continuous with respect to the parameter, i.e., that we have pointwise convergence of the t-norms if the corresponding parameters converge (some of these statements are trivial, some of them follow directly from [Dombi
Erich Peter Klement +2 more
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