Open AccessOperator for Construction of Archimedian Triangular Norms
Author(s) -
Roman Vorobel
Publication year - 2019
Publication title -
modeling, control and information technologies
Language(s) - English
Resource type - Journals
eISSN - 2707-1049
pISSN - 2707-1030
DOI - 10.31713/mcit.2019.21
Subject(s) - associative property , commutative property , operator (biology) , mathematics , monotonic function , fuzzy logic , axiom , boundary (topology) , parameterized complexity , algebra over a field , pure mathematics , discrete mathematics , computer science , algorithm , artificial intelligence , mathematical analysis , biochemistry , chemistry , geometry , repressor , transcription factor , gene
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.