We continue the study of the concepts of minimality and homogeneity in the fuzzy context. Concretely, we introduce two new notions of minimality in fuzzy bitopological spaces which are called minimal fuzzy open set and pairwise minimal fuzzy open set. Several relationships between such notions and a known one are given. Also, we provide results about the transformation of minimal, and pairwise minimal fuzzy open sets of a fuzzy bitopological space, via fuzzy continuous and fuzzy open mappings, and pairwise continuous and pairwise open mappings, respectively. Moreover, we present two new notions of homogeneity in the fuzzy framework. We introduce the notions of homogeneous and pairwise homogeneous fuzzy bitopological spaces. Several relationships between such notions and a known one are given. And, some connections between minimality and homogeneity are given. Finally, we show that cut bitopological spaces of a homogeneous (resp. pairwise homogeneous) fuzzy bitopological space are homogeneous (resp. pairwise homogeneous) but not conversely.
| Published by | Institute of Advanced Engineering and Science |
| Journal Name | International Journal of Electrical and Computer Engineering (IJECE) |
| Contact Phone | - |
| Contact Name | Tole Sutikno |
| Contact Email | ijece@iaesjournal.com |
| Location | Kota yogyakarta, Daerah istimewa yogyakarta INDONESIA |
| Website | IJECE| http://ijece.iaescore.com/index.php/IJECE| |
| ISSN | ISSN : 20888708, EISSN : -, DOI : -, |
| Core Subject | Science, Engineering, |
| Meta Subject | Computer Science & IT, Electrical & Electronics Engineering, |
| Meta Desc | International Journal of Electrical and Computer Engineering (IJECE, ISSN: 2088-8708, a SCOPUS indexed Journal, SNIP: 1.001; SJR: 0.296; CiteScore: 0.99; SJR & CiteScore Q2 on both of the Electrical & Electronics Engineering, and Computer Science) is the official publication of the Institute of Advanced Engineering and Science (IAES). The journal is open to submission from scholars and experts in the wide areas of electrical, electronics, instrumentation, control, telecommunication and computer engineering from the global world. |
| Penulis | Ghour, Samer Al , Azaizeh, Almothana |
| Publisher Article | Institute of Advanced Engineering and Science |
| Subtitle Article | International Journal of Electrical and Computer Engineering (IJECE) Vol 8, No 6: December 2018 |
| Scholar Google | http://scholar.google.com/scholar?q=%2Bintitle%3A&… |
| View Article | http://ijece.iaescore.com/inde… |
| DOI | https://doi.org/10.11591/ijece.v8i6… |
| DOI Number | DOI: 10.11591/ijece.v8i6.pp4619-4625 |
| Download Article [1] | http://ijece.iaescore.com/index.php/IJEC… |
| Download Article [2] | http://download.garuda.ristekdikti.go.id… |
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