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On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations Cover

On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations

By: Adam Grabowski  
Open Access
|Dec 2023

Abstract

This the next article in the series formalizing the book of Baczyński and Jayaram “Fuzzy Implications”. We define the laws of contraposition connected with various fuzzy negations, and in order to make the cluster registration mechanism fully working, we construct some more non-classical examples of fuzzy implications. Finally, as the testbed of the reuse of lattice-theoretical approach, we introduce the lattice of fuzzy negations and show its basic properties.

DOI: https://doi.org/10.2478/forma-2023-0014 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 151 - 159
Accepted on: Nov 21, 2023
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Published on: Dec 26, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Adam Grabowski, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.