Fuzzy Function: Theoretical and Practical Point of View

DOI

10.2991/eusflat.2011.142How to use a DOI?

Keywords

Fuzzy function, extensional function, fuzzy equivalence, extension principle

Abstract

The aim of this investigation is to reconsider two notions of fuzzy function, namely: a fuzzy function as a special fuzzy relation and a fuzzy function as a mapping between fuzzy spaces. We propose to combine both notions in such a way that a fuzzy function as a relation determines a fuzzy function as a mapping. We investigate conditions which guarantee that dependent values of the related fuzzy functions coincide. Moreover, we investigate properties and relationship of the related fuzzy functions in the case when both of them are "fuzzified" versions of the same ordinary function.

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  - Irina Perfilieva
PY  - 2011/08
DA  - 2011/08
TI  - Fuzzy Function: Theoretical and Practical Point of View
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 480
EP  - 486
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.142
DO  - 10.2991/eusflat.2011.142
ID  - Perfilieva2011/08
ER  -