A Note on One Less Known Class of Generated Residual Implications
Abstract
This paper builds on our contribution [Havlena and Hlinena, 2016] which studied modelling of the conjunction in human language. We have discussed three different ways of constructing conjunction. We have dealt with generated t-norms, generated means and Choquet integral. In this paper we construct the residual operators based on the above conjunctions. The only operator based on a t-norm is an implication. We show that this implication belongs to the class of generated implications I^g_N which was introduced in [Smutna, 1999] and studied in [Biba and Hlinena, 2012]. We study its properties. More, we investigate this class of generated implications. Some important properties, including relations between some classes of implications, are given.
Cite
@article{arxiv.1612.04979,
title = {A Note on One Less Known Class of Generated Residual Implications},
author = {Vojtěch Havlena and Dana Hliněná},
journal= {arXiv preprint arXiv:1612.04979},
year = {2016}
}
Comments
In Proceedings MEMICS 2016, arXiv:1612.04037