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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۵، صفحات ۴۱-۶۲
عنوان فارسی ON (L;M)-FUZZY CLOSURE SPACES
چکیده فارسی مقاله The aim of this paper is to introduce $(L,M)$-fuzzy closure
structure where $L$ and $M$ are strictly two-sided, commutative
quantales. Firstly, we define $(L,M)$-fuzzy closure spaces and get
some relations between $(L,M)$-double fuzzy topological spaces and
$(L,M)$-fuzzy closure spaces. Then, we introduce initial
$(L,M)$-fuzzy closure structures and we prove that the category
$(L,M)$-{bf FC} of $(L,M)$-fuzzy closure spaces and
$(L,M)$-$mathcal{C}$-maps is a topological category over the
category {bf SET}. From this fact, we define products of
$(L,M)$-fuzzy closure spaces. Finally, we show that an initial
structure of $(L,M)$-double fuzzy topological spaces can be obtained
by the initial structure of $(L,M)$-fuzzy closure spaces induced by
them.
کلیدواژه‌های فارسی مقاله Double fuzzy topological space، Fuzzy closure space، Initial fuzzy closure space،
عنوان انگلیسی ON (L;M)-FUZZY CLOSURE SPACES
چکیده انگلیسی مقاله The aim of this paper is to introduce $(L,M)$-fuzzy closure
structure where $L$ and $M$ are strictly two-sided, commutative
quantales. Firstly, we define $(L,M)$-fuzzy closure spaces and get
some relations between $(L,M)$-double fuzzy topological spaces and
$(L,M)$-fuzzy closure spaces. Then, we introduce initial
$(L,M)$-fuzzy closure structures and we prove that the category
$(L,M)$-{bf FC} of $(L,M)$-fuzzy closure spaces and
$(L,M)$-$mathcal{C}$-maps is a topological category over the
category {bf SET}. From this fact, we define products of
$(L,M)$-fuzzy closure spaces. Finally, we show that an initial
structure of $(L,M)$-double fuzzy topological spaces can be obtained
by the initial structure of $(L,M)$-fuzzy closure spaces induced by
them.
کلیدواژه‌های انگلیسی مقاله Double fuzzy topological space, Fuzzy closure space, Initial fuzzy closure space
نویسندگان مقاله halis aygun |
department of mathematics, kocaeli university, 41380, kocaeli, turkey.

vildan cetkin |
department of mathematics, kocaeli university, 41380, kocaeli, turkey.

سیدابراهیم عباس | s e
department of mathematics, faculty of science, sohag 82524, egypt.

نشانی اینترنتی http://ijfs.usb.ac.ir/article_103_536f9823347996d1b8deb9dee5ec4124.pdf
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