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Migrativity of aggregation functions

SYSNO ASEP	0322892
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Migrativity of aggregation functions
Title	Migrativita agregačních funkcií
Author(s)	Bustince, H. (ES) Montero, J. (ES) Mesiar, Radko (UTIA-B)_{RID, ORCID}
Source Title	Fuzzy Sets and Systems. - : Elsevier - ISSN 0165-0114 Roč. 160, č. 6 (2009), s. 766-777
Number of pages	12 s.
Publication form	www - www
Language	eng - English
Country	NL - Netherlands
Keywords	Aggregation functions ; Associativity ; Bisymmetry ; Migrativity ; Nullnorms ; t-Norms ; Uninorms
Subject RIV	BA - General Mathematics
R&D Projects	GA402/08/0618 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000263661700006
DOI	10.1016/j.fss.2008.09.018
Annotation	In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. In this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2009

Number of the records: 1