Operator for Construction of Archimedian Triangular Norms

Автор(и)

  • Roman Vorobel Department of intelligent technologies and diagnostic systems Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv

DOI:

https://doi.org/10.31713/MCIT.2019.21

Ключові слова:

triangular norms, fuzzy logic, logical connectives, connective generators

Анотація

Triangular norms and associative functions are
base of connectives in fuzzy logic and fuzzy systems. New
connective operator that can generate different classes of fuzzy
connectives is proposed. It is proved that this operator satisfies
the requirements of such axioms as commutativity, associativity,
monotonicity and boundary conditions. It is parameterized and
therefore new triangular norms are obtained. Constructed
parameterized triangular norms are of a strict and Archimedian
type.

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Опубліковано

2019-11-05

Як цитувати

Vorobel, R. (2019). Operator for Construction of Archimedian Triangular Norms. Моделювання, керування та інформаційні технології, (3), 208–210. https://doi.org/10.31713/MCIT.2019.21

Номер

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Розділ

Information technologies, robotics and artificial intelligence