# 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

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topRajab 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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