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Additive Generators of Copulas
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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A Generalization of Additive Generator of Triangular Norms
International Journal of Approximate Reasoning, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao Ouyang
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On Additive Generators of Overlap Functions [PDF]
Fuzzy Sets and Systems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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Fuzzy Sets and Systems, 2009
In this paper, the author introduces the notion of a rank of an additive generator of a t-norm and a t-conorm. It is shown that cancellative and conditionally cancellative t-norms have only strong additive generators, i.e., with an infinite rank. Several examples and conditions for computation of ranks of additive generators are presented.
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In this paper, the author introduces the notion of a rank of an additive generator of a t-norm and a t-conorm. It is shown that cancellative and conditionally cancellative t-norms have only strong additive generators, i.e., with an infinite rank. Several examples and conditions for computation of ranks of additive generators are presented.
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Additive Generators of 2-Uninorms
Fuzzy Sets and Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-ping Wang, Shudi Liang
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International Journal of Game Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CESARI, GIULIA +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CESARI, GIULIA +2 more
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Additive Aggregation Functions: Generalizations and Modifications of Additivity
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019In this paper we study some modifications and generalizations of additivity in the case of aggregation functions on the unit interval [0, 1]. We prove that some common properties of aggregation functions can be viewed as modifications of additivity — additivity with constraints.We also generalize additivity into pseudo-additivity and k-pseudo ...
Anna Kolesárová +2 more
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Additive Generators of Associative Functions
Fuzzy Sets and Systems, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Aggregation Operators and Additive Generators
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001Generated aggregation operators on continuous and discrete scales derived by means of a generating system are introduced. Linear generating systems are shown to be equivalent with the class of weighted means. The following classes are characterized: symmetric generated aggregation operators, idempotent generated aggregation operators, generated ...
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On Two Generalizations for k-Additivity
2021There are two generalizations for k-additive set functions: constructive k-additivity and formulaic k-additivity. We study some properties around these concepts and their relations. A constructively k-additive set function is always formulaic k-additive. For a distorted measure, these two concepts are equivalent.
Ryoji Fukuda +2 more
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