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Iranian Journal of Fuzzy Systems، جلد ۶، شماره ۴، صفحات ۳۷-۴۷
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| عنوان فارسی |
T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A
BL-ALGEBRA |
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| چکیده فارسی مقاله |
In this note, we introduce the concept of a fuzzy filter of a BLalgebra,
with respect to a t-norm briefly, T-fuzzy filters, and give some related
results. In particular, we prove Representation Theorem in BL-algebras. Then
we generalize the notion of a fuzzy congruence (in a BL-algebra) was defined
by Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.
We prove that there is a correspondence bijection between the set of all
T-fuzzy filters of a BL-algebra and the set of all T-fuzzy congruences in that
BL-algebra. Next, we show how T-fuzzy filters induce T-fuzzy congruences,
and construct a new BL-algebras, called quotient BL-algebras, and give some
homomorphism theorems. |
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| کلیدواژه‌های فارسی مقاله |
T-fuzzy filter، T-fuzzy congruence، |
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| عنوان انگلیسی |
T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A
BL-ALGEBRA |
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| چکیده انگلیسی مقاله |
In this note, we introduce the concept of a fuzzy filter of a BLalgebra,
with respect to a t-norm briefly, T-fuzzy filters, and give some related
results. In particular, we prove Representation Theorem in BL-algebras. Then
we generalize the notion of a fuzzy congruence (in a BL-algebra) was defined
by Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.
We prove that there is a correspondence bijection between the set of all
T-fuzzy filters of a BL-algebra and the set of all T-fuzzy congruences in that
BL-algebra. Next, we show how T-fuzzy filters induce T-fuzzy congruences,
and construct a new BL-algebras, called quotient BL-algebras, and give some
homomorphism theorems. |
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| کلیدواژه‌های انگلیسی مقاله |
T-fuzzy filter, T-fuzzy congruence |
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| نویسندگان مقاله |
Rajab Ali Borzooei |
Department of Mathematics, Shahid Beheshti University, Tehran,
Iran
Mahmood Bakhshi |
Department of Mathematics, Bojnord University, Bojnord, Iran
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_533_ef8cf353ee369065e65b7a1205e85bf2.pdf |
| فایل مقاله |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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