Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Fuzzy Function: Theoretical and Practical Point of View

Authors
Irina Perfilieva
Corresponding Author
Irina Perfilieva
Available Online August 2011.
DOI
https://doi.org/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.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.142How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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
PB  - Atlantis Press
SP  - 480
EP  - 486
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.142
DO  - https://doi.org/10.2991/eusflat.2011.142
ID  - Perfilieva2011/08
ER  -