On the Normed Space of Equivalence Classes of Fuzzy Numbers
We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/792484 |
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| _version_ | 1832556698445807616 |
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| author | Dong Qiu Chongxia Lu Wei Zhang |
| author_facet | Dong Qiu Chongxia Lu Wei Zhang |
| author_sort | Dong Qiu |
| collection | DOAJ |
| description | We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space. |
| format | Article |
| id | doaj-art-a892011eb0b9428ab2ff1000aa17bfed |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a892011eb0b9428ab2ff1000aa17bfed2025-02-03T05:44:43ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/792484792484On the Normed Space of Equivalence Classes of Fuzzy NumbersDong Qiu0Chongxia Lu1Wei Zhang2College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaCollege of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaCollege of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, ChinaWe study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.http://dx.doi.org/10.1155/2013/792484 |
| spellingShingle | Dong Qiu Chongxia Lu Wei Zhang On the Normed Space of Equivalence Classes of Fuzzy Numbers The Scientific World Journal |
| title | On the Normed Space of Equivalence Classes of Fuzzy Numbers |
| title_full | On the Normed Space of Equivalence Classes of Fuzzy Numbers |
| title_fullStr | On the Normed Space of Equivalence Classes of Fuzzy Numbers |
| title_full_unstemmed | On the Normed Space of Equivalence Classes of Fuzzy Numbers |
| title_short | On the Normed Space of Equivalence Classes of Fuzzy Numbers |
| title_sort | on the normed space of equivalence classes of fuzzy numbers |
| url | http://dx.doi.org/10.1155/2013/792484 |
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