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ArticleOriginal scientific text

Title

Fuzzy n-fold integral filters in BL-algebras

Authors 1, 1

Affiliations

  1. Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Abstract

In this paper, we introduce the notion of fuzzy n-fold integral filter in BL-algebras and we state and prove several properties of fuzzy n-fold integral filters. Using a level subset of a fuzzy set in a BL-algebra, we give a characterization of fuzzy n-fold integral filters. Also, we prove that the homomorphic image and preimage of fuzzy n-fold integral filters are also fuzzy n-fold integral filters. Finally, we study the relationship among fuzzy n-fold obstinate filters, fuzzy n-fold integral filters and fuzzy n-fold fantastic filters

Keywords

ENG
BL-algebra, fuzzy n-fold obstinate filter, n-fold obstinate BL-algebra, n-fold integral BL-algebra and fuzzy n-fold integra filter

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2013/33/1
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Pages:
57-71
Main language of publication
English
Received
2012-11-18
Accepted
2013-03-11
Published
2013

DOI: 10.7151/dmgaa.1192

Exact and natural sciences