categories isomorphic to the category of $l$-fuzzy closure system spaces

نویسندگان

fu-gui shi

bin pang

چکیده

in this paper, new definitions of $l$-fuzzy closure operator, $l$-fuzzy interior operator, $l$-fuzzy remote neighborhood system, $l$-fuzzy neighborhood system and $l$-fuzzy quasi-coincident neighborhood system are proposed. it is proved that the category of $l$-fuzzy closure spaces, the category of $l$-fuzzy interior spaces, the category of $l$-fuzzy remote neighborhood spaces, the category of $l$-fuzzy quasi-coincident neighborhood spaces, the category of $l$-fuzzy neighborhood spaces are all isomorphic to the category $l$-{bf fcs} of $l$-fuzzy closure system spaces.

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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 10

شماره 5 2013

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