Fuzzy BCI-subalgebras with interval-valued membership functions

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

doi:10.1155/s0161171201005087

International Journal of Mathematics and Mathematical Sciences (Jan 2001)

Fuzzy BCI-subalgebras with interval-valued membership functions

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

Affiliations

Sung Min Hong: Department of Mathematics, Gyeongsang National University, Chinju 660-701, South Korea
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, South Korea
Seon Jeong Kim: Department of Mathematics, Gyeongsang National University, Chinju 660-701, South Korea
Gwang Il Kim: Department of Mathematics, Gyeongsang National University, Chinju 660-701, South Korea

DOI: https://doi.org/10.1155/s0161171201005087
Journal volume & issue: Vol. 25, no. 2
pp. 135 – 143

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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