<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper deals with ordinal sums of fuzzy implications. Some of the known constructions are recalled and new ways of generating fuzzy implications from given ones are proposed. Sufficient properties of fuzzy implications as summands for obtaining a fuzzy implication as a result are presented.</p></abstract>

This paper deals with ordinal sums of fuzzy implications. Some of the known constructions are recalled and new ways of generating fuzzy implications from given ones are proposed. Sufficient properties of fuzzy implications as summands for obtaining a fuzzy implication as a result are presented.

Generating Fuzzy Implications by Ordinal Sums

Interdisciplinary Centre for Computational Modelling Faculty of Mathematics and Natural Sciences University of Rzesz´ow Pigonia 1 PL-35-310 Rzeszów,

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Generating Fuzzy Implications by Ordinal Sums"}

This paper deals with ordinal sums of fuzzy implications. Some of the known constructions are recalled and new ways of generating fuzzy implications from given...

Generating Fuzzy Implications by Ordinal Sums

Published Online: Jan 20, 2017

Page range: 39 - 50

Received: Jul 15, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0018

Keywords
fuzzy implication, ordinal sum, triangular norm

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Generating Fuzzy Implications by Ordinal Sums

Published Online: Jan 20, 2017

Page range: 39 - 50

Received: Jul 15, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0018

Keywordsfuzzy implication, ordinal sum, triangular norm

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
fuzzy implication, ordinal sum, triangular norm