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Iranian Journal of Fuzzy Systems، جلد ۱۰، شماره ۲، صفحات ۱۳۳-۱۵۰
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| عنوان فارسی |
ON INTERRELATIONSHIPS BETWEEN FUZZY
METRIC STRUCTURES |
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| چکیده فارسی مقاله |
Considering the increasing interest in fuzzy theory and possible applications,
the concept of fuzzy metric space concept has been introduced by several
authors from different perspectives. This paper interprets the theory in terms
of metrics evaluated on fuzzy numbers and defines a strong Hausdorff topology.
We study interrelationships between this theory and other fuzzy theories such
as intuitionistic fuzzy metric spaces, Kramosil and Michalek's spaces, Kaleva
and Seikkala's spaces, probabilistic metric spaces, probabilistic
metric co-spaces, Menger spaces and intuitionistic probabilistic metric
spaces, determining their position in the framework of theses different theories. |
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| کلیدواژه‌های فارسی مقاله |
Fuzzy metric، Fuzzy metric space، Fuzzy number، Fuzzy topology، Links between di erent models، |
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| عنوان انگلیسی |
ON INTERRELATIONSHIPS BETWEEN FUZZY
METRIC STRUCTURES |
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| چکیده انگلیسی مقاله |
Considering the increasing interest in fuzzy theory and possible applications,
the concept of fuzzy metric space concept has been introduced by several
authors from different perspectives. This paper interprets the theory in terms
of metrics evaluated on fuzzy numbers and defines a strong Hausdorff topology.
We study interrelationships between this theory and other fuzzy theories such
as intuitionistic fuzzy metric spaces, Kramosil and Michalek's spaces, Kaleva
and Seikkala's spaces, probabilistic metric spaces, probabilistic
metric co-spaces, Menger spaces and intuitionistic probabilistic metric
spaces, determining their position in the framework of theses different theories. |
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| کلیدواژه‌های انگلیسی مقاله |
Fuzzy metric, Fuzzy metric space, Fuzzy number, Fuzzy topology, Links between di erent models |
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| نویسندگان مقاله |
Antonio Roldan |
Department of Statistics and Operations Research, University of
Jaen, Campus Las Lagunillas, s/n, E-23071, Jaen, Spain
Juan Martnez-Moreno |
Department of Mathematics, University of Jaen, Campus Las
Lagunillas, s/n, E-23071, Jaen, Spain
Concepcion Roldan |
Department of Statistics and Operations Research, University
of Granada, Campus Fuentenueva s/n, E-18071, Granada, Spain
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_616_cf1477dfb706555ef5cc5a5ccacc6742.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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