Binary generating set of the clone of idempotent aggregation functions on bounded lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73591713" target="_blank" >RIV/61989592:15310/18:73591713 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S002002551830478X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S002002551830478X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2018.06.038" target="_blank" >10.1016/j.ins.2018.06.038</a>
Alternative languages
Result language
angličtina
Original language name
Binary generating set of the clone of idempotent aggregation functions on bounded lattices
Original language description
In a recent paper Botur et al. (2018) we have presented a generating set of the clone of idempotent aggregation functions on bounded lattices. As the main result we have shown that this clone is generated by certain ternary idempotent functions from which all idempotent aggregation functions of L can be obtained by usual term composition. The aim of this paper is to present an essential improvement of the result above by presenting a new generating set of this clone. A bit artificial ternary functions are substituted here by natural (binary) lattice a-medians and certain binary characteristic functions. Consequently, the clone is generated by its binary part and the result strengthens the essential role of medians within all idempotent aggregation functions. Moreover, we will show that for an n-element lattice L, the upper bound of binary generators is 2n 1. (C) 2018 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
Result was created during the realization of more than one project. More information in the Projects tab.
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
462
Issue of the periodical within the volume
SEP
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
367-373
UT code for WoS article
000443666300021
EID of the result in the Scopus database
2-s2.0-85048763244