An investigation on the -fold IVRL-filters in triangle algebras
Saeide Zahiri; Arsham Borumand Saeid
Mathematica Bohemica (2020)
- Volume: 145, Issue: 1, page 75-91
- ISSN: 0862-7959
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topZahiri, Saeide, and Borumand Saeid, Arsham. "An investigation on the $n$-fold IVRL-filters in triangle algebras." Mathematica Bohemica 145.1 (2020): 75-91. <http://eudml.org/doc/297000>.
@article{Zahiri2020,
abstract = {The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the $n$-fold IVRL-extended filters, $n$-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.},
author = {Zahiri, Saeide, Borumand Saeid, Arsham},
journal = {Mathematica Bohemica},
keywords = {interval-valued structure; triangle algebra; interval valued residuated lattice filter; $n$-fold interval valued residuated lattice extended filter},
language = {eng},
number = {1},
pages = {75-91},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An investigation on the $n$-fold IVRL-filters in triangle algebras},
url = {http://eudml.org/doc/297000},
volume = {145},
year = {2020},
}
TY - JOUR
AU - Zahiri, Saeide
AU - Borumand Saeid, Arsham
TI - An investigation on the $n$-fold IVRL-filters in triangle algebras
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 1
SP - 75
EP - 91
AB - The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative triangle algebras were defined. Afterwards, several characterizations of the algebras were presented, and the correlations between the $n$-fold IVRL-extended filters, $n$-fold (positive) implicative algebras, and the Gödel triangle algebra were discussed.
LA - eng
KW - interval-valued structure; triangle algebra; interval valued residuated lattice filter; $n$-fold interval valued residuated lattice extended filter
UR - http://eudml.org/doc/297000
ER -
References
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