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Iranian Journal of Fuzzy Systems، جلد ۲، شماره ۱، صفحات ۴۹-۶۳
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| عنوان فارسی |
CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS |
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| چکیده فارسی مقاله |
In this note by considering a complete lattice L, we define the
notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we
define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup
and obtain some related results. In particular we construct the categories of
the above mentioned notions, and give a (full and faithful) functor form the
category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the
category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite
objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and
under a suitable condition the product also exists. |
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| کلیدواژه‌های فارسی مقاله |
Fuzzy graph، Fuzzy hypergraph، Fuzzy subhypergroup، Partially
ordered monoid، |
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| عنوان انگلیسی |
CATEGORY OF (POM)L-FUZZY GRAPHS AND HYPERGRAPHS |
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| چکیده انگلیسی مقاله |
In this note by considering a complete lattice L, we define the
notion of an L-Fuzzy hyperrelation on a given non-empty set X. Then we
define the concepts of (POM)L-Fuzzy graph, hypergraph and subhypergroup
and obtain some related results. In particular we construct the categories of
the above mentioned notions, and give a (full and faithful) functor form the
category of (POM)L-Fuzzy subhypergroups ((POM)L-Fuzzy graphs) into the
category of (POM)L-Fuzzy hypergraphs. Also we show that for each finite
objects in the category of (POM)L-Fuzzy graphs, the coproduct exists, and
under a suitable condition the product also exists. |
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| کلیدواژه‌های انگلیسی مقاله |
Fuzzy graph, Fuzzy hypergraph, Fuzzy subhypergroup, Partially
ordered monoid |
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| نویسندگان مقاله |
محمد مهدی زاهدی | m m
department of mathematics, shahid bahonar university of kerman, kerman, iran
سازمان اصلی تایید شده: دانشگاه شهید باهنر (Shahid bahonar university)
محمدرضا خراشادی زاده | m r khorashadi zadeh
department of mathematics, imam ali military university, tehran, iran
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_475_4c6e4e4c3721205d46bc60a79552b370.pdf |
| فایل مقاله |
اشکال در دسترسی به فایل - ./files/site1/rds_journals/448/article-448-132082.pdf |
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| زبان مقاله منتشر شده |
fa |
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