Fuzzy n-fold integral filters in BL-algebras

Rajab Ali Borzooei; Akbar Paad

Discussiones Mathematicae - General Algebra and Applications (2013)

  • Volume: 33, Issue: 1, page 57-71
  • ISSN: 1509-9415

Abstract

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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

How to cite

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Rajab Ali Borzooei, and Akbar Paad. "Fuzzy n-fold integral filters in BL-algebras." Discussiones Mathematicae - General Algebra and Applications 33.1 (2013): 57-71. <http://eudml.org/doc/270457>.

@article{RajabAliBorzooei2013,
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},
author = {Rajab Ali Borzooei, Akbar Paad},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {BL-algebra; fuzzy n-fold obstinate filter; n-fold obstinate BL-algebra; n-fold integral BL-algebra and fuzzy n-fold integra filter; fuzzy -fold obstinate filter; fuzzy -fold obstinate BL-algebra; -fold integral BL-algebra},
language = {eng},
number = {1},
pages = {57-71},
title = {Fuzzy n-fold integral filters in BL-algebras},
url = {http://eudml.org/doc/270457},
volume = {33},
year = {2013},
}

TY - JOUR
AU - Rajab Ali Borzooei
AU - Akbar Paad
TI - Fuzzy n-fold integral filters in BL-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 1
SP - 57
EP - 71
AB - 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
LA - eng
KW - BL-algebra; fuzzy n-fold obstinate filter; n-fold obstinate BL-algebra; n-fold integral BL-algebra and fuzzy n-fold integra filter; fuzzy -fold obstinate filter; fuzzy -fold obstinate BL-algebra; -fold integral BL-algebra
UR - http://eudml.org/doc/270457
ER -

References

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  12. [12] L. Liu and K. Li, Fuzzy filters of BL-algebras, Information Sciences 173 (2005) 141-154. doi: 10.1016/j.ins.2004.07.009 Zbl1075.03036
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