QUASI -IDEALS OF QUASI BCI-ALGEBRAS

A. Kordi (Iran) and A. Moussavi (Iran)

Received June 19, 2006

Abstract

The notion of a quasi -ideal is introduced and a characterization of quasi -ideals of the set of all fuzzy points in BCI-algebras is obtained. We also study on fuzzy -ideals with a finite set of values and obtain some characterizations of -ideals. Related properties between level -ideals of equivalent fuzzy -ideals are investigated.

Keywords and phrases: BCI algebra, fuzzy -ideal, quasi -ideal, quasi BCI algebra.