Fuzzy BCI-subalgebras with interval-valued membership functions
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A way to make a new i-v fuzzy BCI-subalgebra fr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005087 |
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| Summary: | The purpose of this paper is to define the notion of an
interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy
BCI-subalgebra) of a BCI-algebra. Necessary and sufficient
conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra
are stated. A way to make a new i-v fuzzy BCI-subalgebra from old
one is given. The images and inverse images of i-v fuzzy
BCI-subalgebras are defined, and how the images or inverse images
of i-v fuzzy BCI-subalgebras become i-v fuzzy BCI-subalgebras is
studied. |
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| ISSN: | 0161-1712 1687-0425 |