Results 221 to 230 of about 113,183 (266)

Monoidal t-norm based logictowards a logic for left-continuous t-norms

Fuzzy Sets and Systems, 2001
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Francesc Esteva, Lluís Godo
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On a Graded Notion of t-Norm and Dominance

2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010
The paper studies graded properties of MTL_Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized Lipschitz property, unit and null elements, commutativity, associativity, and idempotence.
Libor Behounek, Petr Cintula, Ulrich Bodenhofer, Susanne Saminger-Platz, Peter Sarkoci   +4 more
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An extension of several properties for fuzzy t-norm and vague t-norm

Journal of Intelligent & Fuzzy Systems
Rosenfeld defined a fuzzy subgroup of a given group as a fuzzy subset with two special conditions and Mustafa Demirci proposed the idea of fuzzifying the operations on a group through a fuzzy equality and a fuzzy equivalence relation. This paper mainly focuses on fuzzy subsets and vague sets of monoids with several extended algebraic properties ...
Haohao Wang, Wei Li 0229, Bin Yang 0004
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A characterization of the ordering of continuous t-norms

Fuzzy Sets and Systems, 1997
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Erich-Peter Klement, Radko Mesiar, Endre Pap   +2 more
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Generalized t-norm structures

Fuzzy Sets and Systems, 1999
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A method for constructing t-norms

Korean Journal of Computational & Applied Mathematics, 1998
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Vector t-Norms With Applications

IEEE Transactions on Fuzzy Systems, 2017
Some basic t-norms defined on [0, 1] are well known in many study areas and applications. However, more general extension of them into vector forms can be used in a lot of new decision-making realms. In this study, we first define preference vector on a linearly ordered set, which includes different special vectors that are mathematically equivalent ...
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On a family of t-norms

Fuzzy Sets and Systems, 1991
The authors consider the functional equation (1) \(T(x,y)+| x- y|=T(\hbox{Max}(x,y)\), \(\hbox{Max}(x,y))\), where \(T\) is a \(t\)-norm. (A \(t\)-norm is a binary operation on \([0,1]\) that is associative, commutative, non-decreasing in each place, and has identity 1.) The authors prove that if \(T\) is a continuous \(t\)-norm which satisfies (1 ...
Mayor, Gaspar, Torrens, Joan
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Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices

Fuzzy Sets and Systems, 2012
Ordinal sums of triangular norms (t-norms) on bounded lattices are studied. Originally, t-norms were defined on the unit interval. Later, a generalization on a more general algebraic structure, namely bounded lattices, was proposed. It turned out that in this case, an ordinal sum in Clifford's sense of t-norms may not be a t-norm.
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On the direct decomposability of pseudo-t-norms, t-norms and implication operators on product lattices

Fuzzy Sets and Systems, 2007
The concept of the direct product of two t-norms on a product lattice was introduced by \textit{B. De Baets} and \textit{R. Mesiar} [Fuzzy Sets Syst. 104, No. 1, 61--75 (1999; Zbl 0935.03060)]. The present paper continues this research. First, the authors investigate the direct decomposability of pseudo-t-norms and t-norms on a product lattice.
Zhudeng Wang, Jin-xuan Fang
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