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Notes on fuzzy Godel ideals of BL-algebras

Journal: Global Journal of Mathematics (GJM) (Vol.3, No. 1)

Publication Date:

Authors : ; ; ;

Page : 267-271

Keywords : BL-algebras; fuzzy ideals; fuzzy Godel ideals; fuzzy Boolean ideals.;

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Abstract

In this paper, we first display some characterizations of Godel ideals in BL-algebras by the pseudo implication operation, then point out that the assertion “a fuzzy Godel ideal of BL-algebras is not a fuzzy Boolean ideal in general” in a previous paper by Meng and Xin is incorrect, by routine computation. Finally, we prove that a fuzzy ideal is a fuzzy Godel ideal if and only if it is a fuzzy Boolean ideal in BL-algebras.

Last modified: 2015-08-26 16:27:35