Fuzzy BCI-subalgebras with interval-valued membership functions

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

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-9

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:879561

DOI: 10.1155/S0161171201005087

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