On the associativity functional equation

Authors
Citation
Jl. Marichal, On the associativity functional equation, FUZ SET SYS, 114(3), 2000, pp. 381-389
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
FUZZY SETS AND SYSTEMS
ISSN journal
01650114 → ACNP
Volume
114
Issue
3
Year of publication
2000
Pages
381 - 389
Database
ISI
SICI code
0165-0114(20000916)114:3<381:OTAFE>2.0.ZU;2-5
Abstract
Let [a,b] be any bounded closed real interval. The class of all continuous, nondecreasing, associative functions M:[a,b](2)-->[a,b] fulfilling the bou ndary conditions M(a,a)=a and M(b,b)=b is described. (C) 2000 Published by Elsevier Science B.V. All rights reserved.