Some Remarks on the Generalized Scheme of Reduction to Absurdity and Generalized Hypothetical Syllogism in Fuzzy Logic

DOI

10.2991/eusflat-19.2019.59How to use a DOI?

Keywords

generalized reduction to absurdity generalized hypothetical syllogism fuzzy implications R-implications t-norms fuzzy negations

Abstract

In this paper we investigate two generalizations, in fuzzy logic, of classical scheme of reduction to absurdity. We compare them with two possible generalizations of classical hypothetical syllogism (in fuzzy logic) and we show that generalized hypothetical syllogism is more general. We present new results concerning solutions of an inequality and an equation connected directly with generalization of scheme of reduction to absurdity in fuzzy logic.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Katarzyna Miś
AU  - Michal Baczynski
AU  - Piotr Helbin
PY  - 2019/08
DA  - 2019/08
TI  - Some Remarks on the Generalized Scheme of Reduction to Absurdity and Generalized Hypothetical Syllogism in Fuzzy Logic
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 423
EP  - 429
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.59
DO  - 10.2991/eusflat-19.2019.59
ID  - Miś2019/08
ER  -