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On a class of left-continuous t-norms

AuthorsCignoli, Roberto; Esteva, Francesc ; Godo, Lluis ; Montagna, Franco
KeywordsFuzzy connectives
Weak negations
Left-continuous t-norms
Issue Date2002
CitationFuzzy Sets and Systems 131: 283- 296 (2002)
AbstractIn this paper we study the subclass of left-continuous t-norms *n which are definable by an arbitrary continuous t-norm * and a weak (i.e. non necessarily involutive) negation n by putting x *n y = 0 if x ≤ n(y), x *n y = x * y otherwise, thus generalizing the construction of the so-called nilpotent minimum t-norms. We provide the characterization of weak negations compatible with a given continuous t-norm and conversely which are the continuous t-norms compatible with a given weak negation function. © 2002 Elsevier Science B.V. All rights reserved.
Identifiersdoi: 10.1016/S0165-0114(01)00215-9
issn: 0165-0114
Appears in Collections:(IIIA) Artículos
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