Operator for Construction of Archimedian Triangular Norms

Authors

  • 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

Keywords:

triangular norms, fuzzy logic, logical connectives, connective generators

Abstract

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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Published

2019-11-05

How to Cite

Vorobel, R. (2019). Operator for Construction of Archimedian Triangular Norms. Modeling, Control and Information Technologies, (3), 208–210. https://doi.org/10.31713/MCIT.2019.21

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Information technologies, robotics and artificial intelligence

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.