Fuzzy Function: Theoretical and Practical Point of View
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.142How to use a DOI?
- Fuzzy function, extensional function, fuzzy equivalence, extension principle
- 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.
- 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 -