title: |
Fuzzy Function: Theoretical and Practical Point of View |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 480 - 486 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Irina Perfilieva |
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publication date: |
July 2011 |
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keywords: |
Fuzzy function, extensional function,
fuzzy equivalence, extension principle |
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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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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |