Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches

DOI

10.2991/eusflat.2011.31How to use a DOI?

Keywords

Fuzzy relations, Monotonicity, Functionality, Fuzzy Class Theory

Abstract

This contribution provides an exhaustive explanation of the graded approach to the monotonicity property (of a fuzzy relation) and its non-graded version. Our framework is algebraic. We present a wide variety of examples to support our claims relating to the well defined notion and suitability for fuzzy rule base applications and moreover, to improve the readability of the related mathematical formulae.

Copyright

© 2011, 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  - Martina Danková
AU  - Martin Štepnicka
AU  - Bernard De Baets
PY  - 2011/08
DA  - 2011/08
TI  - Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 487
EP  - 492
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.31
DO  - 10.2991/eusflat.2011.31
ID  - Danková2011/08
ER  -