Fuzzy Bounded and Continuous Linear Operators on Standard Fuzzy Normed Spacesa
In this paper we introduce the definition of standard fuzzy normed space, then we discuss several properties after we give an example to illustrate this notion. Then we define F-bounded operator as an introduction to define a standard fuzzy norm of an operator and if T is a linear operator from stan...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Unviversity of Technology- Iraq
2015-02-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_102055_690afb242583d0084bf86da170a17da5.pdf |
| Summary: | In this paper we introduce the definition of standard fuzzy normed space, then we discuss several properties after we give an example to illustrate this notion. Then we define F-bounded operator as an introduction to define a standard fuzzy norm of an operator and if T is a linear operator from standard fuzzy normed space X into a standard fuzzy normed space Y we prove that T is continuous if and only if T is F-bounded. |
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| ISSN: | 1681-6900 2412-0758 |