Search Results - "Sarkoci, Peter"
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1
A note on the convex combinations of triangular norms
Published in Fuzzy sets and systems (2008)“…We consider a property on binary operations, which we call α -migrativity, and we use it to obtain t-norms by means of convex combinations of two t-norms, one…”
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Journal Article -
2
A note on the copulas invariant with respect to (a,b)-transformation
Published in Fuzzy sets and systems (01-01-2020)“…This paper answers the problem of copulas invariant with respect to (a,b)-transformations recently proposed by Horanská and Kolesárová (2017) [8]. Using tools…”
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Journal Article -
3
Continuous weakly cancellative triangular subnorms: I. Their web-geometric properties
Published in Fuzzy sets and systems (01-02-2018)“…The paper studies web-geometric properties of continuous weakly cancellative t-subnorms. Particularly, it studies the Reidemeister closure condition which is…”
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Journal Article -
4
Dominance is not transitive on continuous triangular norms
Published in Aequationes mathematicae (01-06-2008)“…Dominance is a relation between operations which are defined on a poset. It is well known that dominance of t-norms is reflexive and antisymmetric. The…”
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5
Associativity of triangular norms characterized by the geometry of their level sets
Published in Fuzzy sets and systems (01-09-2012)“…Associativity of triangular norms is an algebraic property which, unlike for example their commutativity, is usually understood as hardly visually…”
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6
Shuffles of copulas
Published in Journal of mathematical analysis and applications (15-04-2009)“…We show that every copula that is a shuffle of Min is a special push-forward of the doubly stochastic measure induced by the copula M. This fact allows to…”
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7
Graded dominance and related graded properties of fuzzy connectives
Published in Fuzzy sets and systems (01-03-2015)“…Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property,…”
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Journal Article -
8
Convex combinations of nilpotent triangular norms
Published in Journal of mathematical analysis and applications (01-02-2009)“…In this paper we deal with the open problem of convex combinations of continuous triangular norms stated by Alsina, Frank, and Schweizer [C. Alsina, M.J…”
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9
Linear extensions and order-preserving poset partitions
Published in Journal of combinatorial theory. Series A (01-02-2014)“…We examine the lattice of all order congruences of a finite poset from the viewpoint of combinatorial algebraic topology. We prove that the order complex of…”
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10
Distorted Copulas: Constructions and Tail Dependence
Published in Communications in statistics. Theory and methods (01-01-2010)“…Given a copula C, we examine under which conditions on an order isomorphism ψ of [0, 1] the distortion C ψ : [0, 1] 2 → [0, 1], C ψ (x, y) = ψ{C[ψ −1 (x), ψ…”
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11
Rectangular Patchwork for Bivariate Copulas and Tail Dependence
Published in Communications in statistics. Theory and methods (23-07-2009)“…We present a method for constructing bivariate copulas by changing the values that a given copula assumes on some subrectangles of the unit square. Some…”
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12
On representations of 2-increasing binary aggregation functions
Published in Information sciences (01-12-2008)“…In this paper, we provide two different representations of 2-increasing binary aggregation functions by means of their lower and upper margins and a suitable…”
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13
Length-minimizing LED Trees
Published 21-08-2024“…In this paper, we introduce a specific type of Euclidean tree called LED (Leaves of Equal Depth) tree. LED trees can be used in computational phylogeny, since…”
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14
Explicit formulas for generators of triangular norms
Published in Publicationes mathematicae (Debrecen) (01-07-2010)Get full text
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15
Alternative Proof of Mulholland's Theorem and New Solutions to Mulholland Inequality
Published in 2013 IEEE 43rd International Symposium on Multiple-Valued Logic (01-05-2013)“…Mulholland inequality is a real functional inequality presented in 1950 in a paper by Mulholland as a generalization of the Minkowski inequality. In his paper,…”
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Conference Proceeding -
16
Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms
Published in 2010 40th IEEE International Symposium on Multiple-Valued Logic (01-05-2010)“…The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its…”
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Conference Proceeding -
17
Linear extensions and order-preserving poset partitions
Published 01-04-2015“…Journal of Combinatorial Theory, Series A, Volume 122, February 2014, Pages 28-38 We examine the lattice of all order congruences of a finite poset from the…”
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Journal Article -
18
On a Graded Notion of t-Norm and Dominance
Published in 2010 40th IEEE International Symposium on Multiple-Valued Logic (01-05-2010)“…The paper studies graded properties of MTL Δ -valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators,…”
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Conference Proceeding