<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Formalized Mathematics

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Public License.

{"article-title":"On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations"}

This the next article in the series formalizing the book of Baczyński and Jayaram “Fuzzy Implications”. We define the laws of contraposition connected with...

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

Published Online: Dec 26, 2023

Page range: 151 - 159

Accepted: Nov 21, 2023

DOI: https://doi.org/10.2478/forma-2023-0014

Keywords
fuzzy implication, contrapositive symmetry, fuzzy negation

© 2023 Adam Grabowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Public License.

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

Published Online: Dec 26, 2023

Page range: 151 - 159

Accepted: Nov 21, 2023

DOI: https://doi.org/10.2478/forma-2023-0014

Keywordsfuzzy implication, contrapositive symmetry, fuzzy negation

© 2023 Adam Grabowski, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Public License.

Keywords
fuzzy implication, contrapositive symmetry, fuzzy negation