Results 231 to 240 of about 5,116 (258)

On a class of generated triangular norms and their isomorphisms

Fuzzy Sets and Systems, 2010
Let \(f_1\) and \(f_2\) be two strictly decreasing additive generators of border-continuous triangular norms \(T_1\) and \(T_2\), respectively. Necessary and sufficient conditions on \(f_1,f_2\) are given in order to ensure that the semigroups \(([0,1],T_1)\) and \(([0,1],T_2)\) are isomorphic. The conditions are expressed in terms of the ranges of the
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Triangular norms on partially ordered sets

Fuzzy Sets and Systems, 2005
In this paper, the following three methods are presented to construct triangular norms on partially ordered sets: (1) Constructing triangular norms on the poset of closed intervals. (2) Constructing triangular norms via Galois connections between bounded posets based on a categorical analysis of the construction of triangular norms on closed intervals ...
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Triangular Norms — An Overview

2001
Historical development of triangular norms theory is recalled. Basic properties of t-norms are discussed. Several examples are included. Then we discuss the algebraic properties of t-norms. Different construction methods including latest ones are described. A special attention is paid to the representation of continuous t-norms. Some related operations
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Triangular norms

Künstliche Intell., 2001
Olga Hadžić, Endre Pap
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Fuzzy Digital Filters with Triangular Norms

2010
The convolution operation is used to describe the relation between input and output in the linear filters theory. In this paper the product operation in discrete convolution is replaced by triangular norm operation. It is an extension of conventional idea of convolution. Such approach leads to nonlinear filtering.
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Triangular norm decompositions through methods using congruence relations

International Journal of General Systems, 2022
Funda Karaçal
exaly  

Book Review: "Triangular Norms"

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003
Erich-Peter Klement, Radko Mesiar, Endre Pap   +2 more
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Fuzzy number-valued triangular norm-based decomposable time-stamped fuzzy measure and integration

Fuzzy Sets and Systems, 2022
Reza Saadati, Radko Mesiar
exaly  

Triangular Norms

2000
Erich-Peter Klement, Radko Mesiar, Endre Pap   +2 more
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Triangular-norm-based addition of fuzzy intervals

Fuzzy Sets and Systems, 1997
Radko Mesiar
exaly