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