Fuzzy n-fold integral filters in BL-algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 1, pp. 57-71
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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
Keywords:
BL-algebra, fuzzy n-fold obstinate filter, n-fold obstinate BL-algebra, n-fold integral BL-algebra and fuzzy n-fold integra filter
@article{DMGAA_2013_33_1_a3,
author = {Borzooei, Rajab and Paad, Akbar},
title = {Fuzzy n-fold integral filters in {BL-algebras}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {57--71},
publisher = {mathdoc},
volume = {33},
number = {1},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2013_33_1_a3/}
}
TY - JOUR AU - Borzooei, Rajab AU - Paad, Akbar TI - Fuzzy n-fold integral filters in BL-algebras JO - Discussiones Mathematicae. General Algebra and Applications PY - 2013 SP - 57 EP - 71 VL - 33 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2013_33_1_a3/ LA - en ID - DMGAA_2013_33_1_a3 ER -
Borzooei, Rajab; Paad, Akbar. Fuzzy n-fold integral filters in BL-algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 1, pp. 57-71. http://geodesic.mathdoc.fr/item/DMGAA_2013_33_1_a3/