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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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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.
Francesc Esteva, Lluís Godo
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On the constructions of t-norms on bounded lattices
Information Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Rong Sun, Hua-Wen Liu
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On a Graded Notion of t-Norm and Dominance
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010The 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 +4 more
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An extension of several properties for fuzzy t-norm and vague t-norm
Journal of Intelligent & Fuzzy SystemsRosenfeld 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 method for constructing t-norms
Korean Journal of Computational & Applied Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 1999
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A characterization of the ordering of continuous t-norms
Fuzzy Sets and Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erich-Peter Klement +2 more
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Vector t-Norms With Applications
IEEE Transactions on Fuzzy Systems, 2017Some 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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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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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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