On generating of idempotent aggregation functions on finite lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73591715" target="_blank" >RIV/61989592:15310/18:73591715 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025516316164" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025516316164</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2017.11.031" target="_blank" >10.1016/j.ins.2017.11.031</a>
Alternative languages
Result language
angličtina
Original language name
On generating of idempotent aggregation functions on finite lattices
Original language description
In a recent paper [9] 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, as the main result of [9], we have shown that all aggregation functions on a finite lattice L can be obtained as usual composition of lattice operations boolean AND, boolean OR, and certain unary and binary aggregation functions. The aim of this paper is to present a generating set for the class of intermediate (or, equivalently, idempotent) aggregation functions. This set consists of lattice operations and certain ternary idempotent aggregation functions. (C) 2017 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INFORMATION SCIENCES
ISSN
0020-0255
e-ISSN
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Volume of the periodical
430-431
Issue of the periodical within the volume
MAR
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
39-45
UT code for WoS article
000424174700003
EID of the result in the Scopus database
2-s2.0-85035354100