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ArticleOriginal scientific text

Title

Relation between (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras

Authors 1

Affiliations

  1. Department of Mathematics, University of Bojnord, Bojnord, Iran

Abstract

In this paper, we study relationships between among (fuzzy) Boolean ideals, (fuzzy) Gödel ideals, (fuzzy) implicative filters and (fuzzy) Boolean filters in BL-algebras. In [9], there is an example which shows that a Gödel ideal may not be a Boolean ideal, we show this example is not true and in the following we prove that the notions of (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras coincide.

Keywords

ENG
BL-algebra, (fuzzy) filter, (fuzzy) Boolean ideal, (fuzzy) Gödel ideal

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2016/36/1
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Pages:
45-58
Main language of publication
English
Received
2015-08-29
Accepted
2015-12-17
Published
2016

DOI: 10.7151/dmgaa.1251

Exact and natural sciences