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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۲، صفحات ۱۴۷-۱۶۱
عنوان فارسی $L-$ordered Fuzzifying Convergence Spaces
چکیده فارسی مقاله Based on a complete Heyting algebra, we modify the definition of
lattice-valued fuzzifying convergence space using fuzzy inclusion
order and construct in this way a Cartesian-closed category, called
the category of $L-$ordered fuzzifying convergence spaces, in which
the category of $L-$fuzzifying topological spaces can be embedded.
In addition, two new categories are introduced, which are called the
category of principal $L-$ordered fuzzifying convergence spaces and
that of topological $L-$ordered fuzzifying convergence spaces, and
it is shown that they are isomorphic to the category of
$L-$fuzzifying neighborhood spaces and that of $L-$fuzzifying
topological spaces respectively.
کلیدواژه‌های فارسی مقاله $L-$fuzzifying topology، $L-$ordered fuzzifying convergence structure، $L-$filter، Cartesian-closed category، Reflective subcategory،
عنوان انگلیسی $L-$ordered Fuzzifying Convergence Spaces
چکیده انگلیسی مقاله Based on a complete Heyting algebra, we modify the definition of
lattice-valued fuzzifying convergence space using fuzzy inclusion
order and construct in this way a Cartesian-closed category, called
the category of $L-$ordered fuzzifying convergence spaces, in which
the category of $L-$fuzzifying topological spaces can be embedded.
In addition, two new categories are introduced, which are called the
category of principal $L-$ordered fuzzifying convergence spaces and
that of topological $L-$ordered fuzzifying convergence spaces, and
it is shown that they are isomorphic to the category of
$L-$fuzzifying neighborhood spaces and that of $L-$fuzzifying
topological spaces respectively.
کلیدواژه‌های انگلیسی مقاله $L-$fuzzifying topology, $L-$ordered fuzzifying convergence structure, $L-$filter, Cartesian-closed category, Reflective subcategory
نویسندگان مقاله wenchao wu |
department of mathematics, ocean university of china, 266100 qing- dao, p. r. china

jinming fang |
department of mathematics, ocean university of china, 266100 qing- dao, p. r. china

نشانی اینترنتی http://ijfs.usb.ac.ir/article_218_4456b5694af5a1cad3cb181a7369d315.pdf
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