Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Pócs, Jozef"'
Publikováno v:
In Fuzzy Sets and Systems 30 August 2023 466
Autor:
Halaš, Radomír, Pócs, Jozef
The main aim of this paper is to study aggregation functions on lattices via clone theory approach. Observing that the aggregation functions on lattices just correspond to $0,1$-monotone clones, as the main result we show that for any finite $n$-elem
Externí odkaz:
http://arxiv.org/abs/1812.09534
In a recent paper we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to $0,1$-monotone clones, we have shown that all aggregation functions on a finit
Externí odkaz:
http://arxiv.org/abs/1812.09529
Description of sup- and inf-preserving aggregation functions via families of clusters in data tables
Connection between the theory of aggregation functions and formal concept analysis is discussed and studied, thus filling a gap in the literature by building a bridge between these two theories, one of them living in the world of data fusion, the sec
Externí odkaz:
http://arxiv.org/abs/1810.08040
Autor:
Halaš, Radomír, Pócs, Jozef
Given a bounded lattice $L$ with bounds $0$ and $1$, it is well known that the set $\mathsf{Pol}_{0,1}(L)$ of all $0,1$-preserving polynomials of $L$ forms a natural subclass of the set $\mathsf{C}(L)$ of aggregation functions on $L$. The main aim of
Externí odkaz:
http://arxiv.org/abs/1810.06407
We show that the class of all aggregation functions on $[0,1]$ can be generated as a composition of infinitary sup-operation $\bigvee$ acting on sets with cardinality not exceeding $\mathfrak{c}$, $b$-medians $\mathsf{Med}_b$, $b\in[0,1[$, and unary
Externí odkaz:
http://arxiv.org/abs/1810.06406
Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they share several properties with the comonotonicity for the real-valued vect
Externí odkaz:
http://arxiv.org/abs/1810.06398
We introduce a new property of the discrete Sugeno integrals which can be seen as their characterization, too. This property, compatibility with respect to congruences on $[0,1]$, stresses the importance of the Sugeno integrals in multicriteria decis
Externí odkaz:
http://arxiv.org/abs/1810.08538
We study compatible aggregation functions on a general bounded distributive lattice $L$, where the compatibility is related to the congruences on $L$. As a by-product, a new proof of an earlier result of G. Gr\"atzer is obtained. Moreover, our result
Externí odkaz:
http://arxiv.org/abs/1810.08545
Publikováno v:
In Information Sciences July 2021 564:193-201