On the associativity functional equation

Reference : On the associativity functional equation


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/1769

Title :	On the associativity functional equation
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Liège, Belgium > Department of Management (FEGSS)]
Publication date :	16-Sep-2000
Journal title :	Fuzzy Sets and Systems
Publisher :	Elsevier Science
Volume :	114
Issue/season :	3
Pages :	381-389
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0165-0114
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] associativity equation ; semigroups ; ordinal sums ; t-norms and t-conorms
Abstract :	[en] 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 boundary conditions M(a,a)=a and M(b,b)=b is described.
Research centres :	Department of Management (FEGSS)
Funders :	University of Liège, Belgium
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/1769
DOI :	10.1016/S0165-0114(98)00332-7

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