Associative Functions: Triangular Norms and Copulas

2006 ◽  
Author(s):  
Claudi Alsina ◽  
Maurice J. Frank ◽  
Berthold Schweizer
Keyword(s):  
Triangular Norms ◽  
Associative Functions

scholarly journals Quasi-homogeneous associative functions

1998 ◽  
Vol 21 (2) ◽  
pp. 351-357 ◽  
Author(s):  
Bruce R. Ebanks
Keyword(s):  
Special Kind ◽  
Unit Interval ◽  
Space Theory ◽  
Triangular Norm ◽  
Probabilistic Metric Space ◽  
Triangular Norms ◽  
Homogeneity Property ◽  
Associative Function ◽  
Probabilistic Metric ◽  
Associative Functions

A triangular norm is a special kind of associative function on the closed unit interval[0,1]. Triangular norms (ort-norms) were introduced in the context of probabilistic metric space theory, and they have found applications also in other areas, such as fuzzy set theory. We determine the explicit forms of allt-norms which satisfy a generalized homogeneity property called quasi-homogeneity.

scholarly journals Operator for Construction of Archimedian Triangular Norms

2019 ◽  
pp. 208-210 ◽  
Author(s):  
Roman Vorobel
Keyword(s):  
Fuzzy Logic ◽  
Boundary Conditions ◽  
Fuzzy Systems ◽  
Triangular Norms ◽  
Associative Functions

Triangular norms and associative functions arebase of connectives in fuzzy logic and fuzzy systems. Newconnective operator that can generate different classes of fuzzyconnectives is proposed. It is proved that this operator satisfiesthe requirements of such axioms as commutativity, associativity,monotonicity and boundary conditions. It is parameterized andtherefore new triangular norms are obtained. Constructedparameterized triangular norms are of a strict and Archimediantype.

scholarly journals Unbounded fan-in circuits and associative functions

1985 ◽  
Vol 30 (2) ◽  
pp. 222-234 ◽  
Author(s):  
Ashok K. Chandra ◽  
Steven Fortune ◽  
Richard Lipton
Keyword(s):  
Associative Functions
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