Next Article in Journal
Family Symmetries and Multi Higgs Doublet Models
Previous Article in Journal
Classification of Kidney Cancer Data Using Cost-Sensitive Hybrid Deep Learning Approach
Open AccessArticle

A Method of Generating Fuzzy Implications with Specific Properties

Section of Mathematics and Informatics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, 67100 Kimeria, Greece
Author to whom correspondence should be addressed.
Symmetry 2020, 12(1), 155; (registering DOI)
Received: 24 December 2019 / Revised: 6 January 2020 / Accepted: 8 January 2020 / Published: 12 January 2020
In this paper we introduce a new method of generating fuzzy implications via known fuzzy implications. We focus on the case of generating fuzzy implications via a fuzzy connective and at least one known fuzzy implication. We present some basic desirable properties of fuzzy implications that are invariant via this method. Furthermore, we suggest some ways of preservation or violation of these properties, based in this method. We show how we can generate not greater or not weaker fuzzy implications with specific properties. Finally, two subclasses of any fuzzy implication arise, the so called T and S subclasses. View Full-Text
Keywords: fuzzy implication; t-norm; t-conorm fuzzy implication; t-norm; t-conorm
MDPI and ACS Style

Grammatikopoulos, D.S.; Papadopoulos, B.K. A Method of Generating Fuzzy Implications with Specific Properties. Symmetry 2020, 12, 155.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop