Fuzzy BCI-subalgebras with interval-valued membership functions

Hong, Sung Min; Jun, Young Bae; Kim, Seon Jeong; Kim, Gwang Il

doi:https://doi.org/10.1155/S0161171201005087

International Journal of Mathematics and Mathematical Sciences

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Volume 25 | Article ID 879561 | https://doi.org/10.1155/S0161171201005087

Fuzzy BCI-subalgebras with interval-valued membership functions

Sung Min Hong,¹Young Bae Jun,²Seon Jeong Kim,¹and Gwang Il Kim¹

Received03 May 2000

Abstract

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.

Copyright

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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