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Fuzzy BCI-subalgebras with interval-valued membership functions

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  • Sung Min Hong
  • Young Bae Jun
  • Seon Jeong Kim
  • Gwang Il Kim

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.

Suggested Citation

  • Sung Min Hong & Young Bae Jun & Seon Jeong Kim & Gwang Il Kim, 2001. "Fuzzy BCI-subalgebras with interval-valued membership functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:879561
    DOI: 10.1155/S0161171201005087
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