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IMCS/Publications/QRS/Issues/QRS v.11, n.1 (11), 2004/

Quasi p-ideals of quasi BCI-algebras

Authors: W. A. Dudek, Y. B. Jun

Abstract

As a continuation of our previous study of fuzzy subquasigroups and fuzzy ideals of BCI-algebras, the notion of a quasi p-ideal is introduced. Characterizations of quasi p-ideals of the set of all fuzzy points in BCI-algebras are obtained. Next, using special chains of reals we determine the number of non-equivalent fuzzy p-ideals of some types of BCI-algebras (especially BCI-algebras which are quasigroups) and give the method of computation of fuzzy p-ideals.

W. A. Dudek
Institute of Mathematics,
Technical University of Wrocław,
Wybrzeze Wyspianskiego 27,
50-370 Wrocław,
Poland.
E-mail:
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Y. B. Jun
Department of Mathematics Education,
Gyeongsang National University,
Chinju 660-701,
Korea,
E-mail:



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