Reasons for a careful design of fuzzy sets

DOI

10.2991/eusflat.2013.20How to use a DOI?

Keywords

Models Collectives Design

Abstract

This paper is, basically, a reflection on modeling, starting by asking what happens when the meaning of a predicate P is interpreted by the membership function of a fuzzy set that, labeled P, is designed with the information available to the designer on the use of the predicate in the corresponding universe of discourse. In it, the modification of the meaning that P can suffer by its identification with the membership function of the fuzzy set, is analyzed and discussed. It is argued that what can be done for reaching a least possible modification of the meaning, is just a careful design of the membership function. This reflection is further continued at the level of linguistic variables, fuzzy if–then rules, and rule-based systems. It is concluded that as argued in the case of fuzzy sets, the involved operations in rules and systems should be at least carefully chosen, if not specially designed.

Copyright

© 2013, 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  - Enric Trillas
AU  - Claudio Moraga
PY  - 2013/08
DA  - 2013/08
TI  - Reasons for a careful design of fuzzy sets
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 140
EP  - 145
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.20
DO  - 10.2991/eusflat.2013.20
ID  - Trillas2013/08
ER  -