<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation generated by a strictly increasing additive generator of the second kind to be associative are introduced. The relation between the class of strictly increasing additive generators of the second kind of associative binary operations and the class of discrete upper additive generators of associative binary operations is revealed.</p></abstract>

The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation generated by a strictly increasing additive generator of the second kind to be associative are introduced. The relation between the class of strictly increasing additive generators of the second kind of associative binary operations and the class of discrete upper additive generators of associative binary operations is revealed.

Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations

Slovak University of Technology in Bratislava

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The class of strictly increasing additive generators of the second kind is defined and analyzed. Necessary and sufficient conditions for a binary operation...

Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations

Published Online: Nov 15, 2019

Page range: 159 - 176

Received: Dec 03, 2018

DOI: https://doi.org/10.2478/tmmp-2019-0026

Keywords
additive generator, aggregation function, associativity, discrete additive generator, t-conorm

© 2019 Peter Viceník, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Strictly Increasing Additive Generators of the Second Kind of Associative Binary Operations

Published Online: Nov 15, 2019

Page range: 159 - 176

Received: Dec 03, 2018

DOI: https://doi.org/10.2478/tmmp-2019-0026

Keywordsadditive generator, aggregation function, associativity, discrete additive generator, t-conorm

© 2019 Peter Viceník, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
additive generator, aggregation function, associativity, discrete additive generator, t-conorm