| dc.contributor.author | Huang, Chun-E | en_US |
| dc.contributor.author | Shi, Fu-Gui | en_US |
| dc.date.accessioned | 1399-07-09T07:51:34Z | fa_IR |
| dc.date.accessioned | 2020-09-30T07:51:35Z | |
| dc.date.available | 1399-07-09T07:51:34Z | fa_IR |
| dc.date.available | 2020-09-30T07:51:35Z | |
| dc.date.issued | 2012-10-01 | en_US |
| dc.date.issued | 1391-07-10 | fa_IR |
| dc.date.submitted | 2010-12-03 | en_US |
| dc.date.submitted | 1389-09-12 | fa_IR |
| dc.identifier.citation | Huang, Chun-E, Shi, Fu-Gui. (2012). ON THE FUZZY DIMENSIONS OF FUZZY VECTOR SPACES. Iranian Journal of Fuzzy Systems, 9(4), 141-150. doi: 10.22111/ijfs.2012.138 | en_US |
| dc.identifier.issn | 1735-0654 | |
| dc.identifier.issn | 2676-4334 | |
| dc.identifier.uri | https://dx.doi.org/10.22111/ijfs.2012.138 | |
| dc.identifier.uri | https://ijfs.usb.ac.ir/article_138.html | |
| dc.identifier.uri | https://iranjournals.nlai.ir/handle/123456789/330313 | |
| dc.description.abstract | In this paper, rstly, it is proved that, for a fuzzy vector space, <br />the set of its fuzzy bases de ned by Shi and Huang, is equivalent to the family <br />of its bases de ned by P. Lubczonok. Secondly, for two fuzzy vector spaces, <br />it is proved that they are isomorphic if and only if they have the same fuzzy <br />dimension, and if their fuzzy dimensions are equal, then their dimensions are <br />the same, however, the converse is not true. Finally, fuzzy dimension of direct <br />sum is considered, for a nite number of fuzzy vector spaces and it is proved <br />that fuzzy dimension of their direct sum is equal to the sum of fuzzy dimensions <br />of fuzzy vector spaces. | en_US |
| dc.language | English | |
| dc.language.iso | en_US | |
| dc.publisher | University of Sistan and Baluchestan | en_US |
| dc.relation.ispartof | Iranian Journal of Fuzzy Systems | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.22111/ijfs.2012.138 | |
| dc.subject | Fuzzy vector space | en_US |
| dc.subject | Fuzzy basis | en_US |
| dc.subject | Fuzzy dimension | en_US |
| dc.subject | Direct sum | en_US |
| dc.title | ON THE FUZZY DIMENSIONS OF FUZZY VECTOR SPACES | en_US |
| dc.type | Text | en_US |
| dc.type | Research Paper | en_US |
| dc.contributor.department | Biochemical engineering college, Beijing Union University, Beijing
100023, P. R. China | en_US |
| dc.contributor.department | Department of Mathematics, School of Science, Beijing Institute of
Technology, Beijing 100081, P. R. China | en_US |
| dc.citation.volume | 9 | |
| dc.citation.issue | 4 | |
| dc.citation.spage | 141 | |
| dc.citation.epage | 150 | |
