OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators – Part I: Axiomatic Analysis Under Arity-Dependence

Anna Cena , Marek Gągolewski

Abstract

Zbadano podstawowe, zależne od arności (wymiaru agregowanego wektora) własności aksjomatyczne operatorów agregacji OM3, tzn. operatorów symetrycznie minitywnych (F(min(x, y))=min(F(x), F(y))), maksytywnych (F(max(x, y))=max(F(x), F(y))) i modularnych(F(min(x, y)+max(x,y))=F(x)+F(y)), takie jak zero-niewrażliwość (F(x)=F(x,0)), F-niewrażliwość (F(x)=F(x,F(x))) i F-wrażliwość (F(x)
Author Anna Cena (FMIS / DIE) - [Systems Research Institute (IBS PAN) [Polish Academy of Sciences (PAN)]]
Anna Cena,,
- Department of Integral Equations
- Instytucie Badań Systemowych
, Marek Gągolewski (FMIS / DSPFM) - [Systems Research Institute (IBS PAN)]
Marek Gągolewski,,
- Department of Stochastic Processes and Financial Mathematics
- Instytut Badan Systemowych
Pages93-103
Publication size in sheets0.5
Book Bustince H., Fernandez J.: Aggregation Functions in Theory and in Practise, AISC, vol. 228, 2013, ISBN 978-3-319-59305-0
DOIDOI:10.1007/978-3-642-39165-1_13
URL http://link.springer.com/chapter/10.1007%2F978-3-642-39165-1_13
Languageen angielski
Score (nominal)0
Score sourcejournalList
ScoreMinisterial score = 0.0, 26-01-2020, BookChapterSeriesAndMatConfByIndicator
Ministerial score (2013-2016) = 0.0, 26-01-2020, BookChapterSeriesAndMatConfByIndicator
Publication indicators Scopus Citations = 4; WoS Citations = 3
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