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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۴، صفحات ۱۱۵-۱۳۲
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| عنوان فارسی |
L-FUZZIFYING TOPOLOGICAL GROUPS |
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| چکیده فارسی مقاله |
The main purpose of this paper is to introduce a concept of
$L$-fuzzifying topological groups (here $L$ is a completely
distributive lattice) and discuss some of their basic properties and
the structures. We prove that its corresponding $L$-fuzzifying
neighborhood structure is translation invariant. A characterization
of such topological groups in terms of the corresponding
$L$-fuzzifying neighborhood structure of the unit is given. It is
shown that the category of $L$-fuzzifying topological groups
$L$-{bf FYTPG} is topological over the category of groups {bf GRP}
with respect to the forgetful functor. As an application, the
conclusion that the product of $L$-fuzzifying topological groups is
also an $L$-fuzzifying topological group is proved. Finally, it is
proved the forgetful functor preserves the product. |
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| کلیدواژه‌های فارسی مقاله |
L-fuzzifying topological groups، L-fuzzifying topology، L-fuzzifying
neighborhood structure، Category، |
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| عنوان انگلیسی |
L-FUZZIFYING TOPOLOGICAL GROUPS |
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| چکیده انگلیسی مقاله |
The main purpose of this paper is to introduce a concept of
$L$-fuzzifying topological groups (here $L$ is a completely
distributive lattice) and discuss some of their basic properties and
the structures. We prove that its corresponding $L$-fuzzifying
neighborhood structure is translation invariant. A characterization
of such topological groups in terms of the corresponding
$L$-fuzzifying neighborhood structure of the unit is given. It is
shown that the category of $L$-fuzzifying topological groups
$L$-{bf FYTPG} is topological over the category of groups {bf GRP}
with respect to the forgetful functor. As an application, the
conclusion that the product of $L$-fuzzifying topological groups is
also an $L$-fuzzifying topological group is proved. Finally, it is
proved the forgetful functor preserves the product. |
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| کلیدواژه‌های انگلیسی مقاله |
L-fuzzifying topological groups, L-fuzzifying topology, L-fuzzifying
neighborhood structure, Category |
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| نویسندگان مقاله |
shai یان زانگ | shai yan
school of science, southern yangtze university, wuxi, jiangsu 214122, people0 s republic of china
cong hua یان | cong hua
school of math. sciences, nanjing normal uni- versity, nanjing jiangsu 210046, people0 s republic of china
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_136_5aec0b42a085eb0d15775832efc7139a.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/448/article-448-131885.pdf |
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| زبان مقاله منتشر شده |
fa |
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