The Decomposition Theorem for a Fuzzy Quasinorm
This paper deals with fuzzy quasinormed spaces in the sense of Alegre and Romaguera. After introducing the concept of the family of star quasiseminorms, we prove the decomposition theorem for a fuzzy quasinorm with general t-norm, characterize fuzzy quasinorms in terms of families of star quasisemin...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8845283 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546799040069632 |
|---|---|
| author | Rui Gao Xinxin Li Jianrong Wu |
| author_facet | Rui Gao Xinxin Li Jianrong Wu |
| author_sort | Rui Gao |
| collection | DOAJ |
| description | This paper deals with fuzzy quasinormed spaces in the sense of Alegre and Romaguera. After introducing the concept of the family of star quasiseminorms, we prove the decomposition theorem for a fuzzy quasinorm with general t-norm, characterize fuzzy quasinorms in terms of families of star quasiseminorms, and establish the connection between the fuzzy quasinorm and the family of quasinorms. |
| format | Article |
| id | doaj-art-476d8a6ff1f6447886a21cd6b29c9578 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-476d8a6ff1f6447886a21cd6b29c95782025-02-03T06:46:58ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88452838845283The Decomposition Theorem for a Fuzzy QuasinormRui Gao0Xinxin Li1Jianrong Wu2College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaThis paper deals with fuzzy quasinormed spaces in the sense of Alegre and Romaguera. After introducing the concept of the family of star quasiseminorms, we prove the decomposition theorem for a fuzzy quasinorm with general t-norm, characterize fuzzy quasinorms in terms of families of star quasiseminorms, and establish the connection between the fuzzy quasinorm and the family of quasinorms.http://dx.doi.org/10.1155/2020/8845283 |
| spellingShingle | Rui Gao Xinxin Li Jianrong Wu The Decomposition Theorem for a Fuzzy Quasinorm Journal of Mathematics |
| title | The Decomposition Theorem for a Fuzzy Quasinorm |
| title_full | The Decomposition Theorem for a Fuzzy Quasinorm |
| title_fullStr | The Decomposition Theorem for a Fuzzy Quasinorm |
| title_full_unstemmed | The Decomposition Theorem for a Fuzzy Quasinorm |
| title_short | The Decomposition Theorem for a Fuzzy Quasinorm |
| title_sort | decomposition theorem for a fuzzy quasinorm |
| url | http://dx.doi.org/10.1155/2020/8845283 |
| work_keys_str_mv | AT ruigao thedecompositiontheoremforafuzzyquasinorm AT xinxinli thedecompositiontheoremforafuzzyquasinorm AT jianrongwu thedecompositiontheoremforafuzzyquasinorm AT ruigao decompositiontheoremforafuzzyquasinorm AT xinxinli decompositiontheoremforafuzzyquasinorm AT jianrongwu decompositiontheoremforafuzzyquasinorm |