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arXiv · 1612.04979

A Note on One Less Known Class of Generated Residual Implications

Vojtěch Havlena·Dana Hliněná
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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.

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BibTeXRIS

Vojtěch Havlena, Dana Hliněná. 2016-12-15. A Note on One Less Known Class of Generated Residual Implications. https://doi.org/10.4204/eptcs.233.2

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