SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS
Within this paper, we create the ideas of slightly Σα -shelter, shortly sΣα - shelter, and slightly Σα - compact, shortly sΣα - compact fuzzy sets. In addition, we have established certain theorems concerning our vision in fuzzy topological spaces, fuzzy subspaces, fuzzy continuity mapping, fuzzy op...
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Institute of Mechanics of Continua and Mathematical Sciences
2025-03-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
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| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/15105640/jmcms-2503027-SOME-CHARACTERIZATIONS-OF-SLIGHTLY.pdf |
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| author | Md. Abdul Mottalib Talukder B. M. Khalid Hossain |
| author_facet | Md. Abdul Mottalib Talukder B. M. Khalid Hossain |
| author_sort | Md. Abdul Mottalib Talukder |
| collection | DOAJ |
| description | Within this paper, we create the ideas of slightly Σα -shelter, shortly sΣα - shelter, and slightly Σα - compact, shortly sΣα - compact fuzzy sets. In addition, we have established certain theorems concerning our vision in fuzzy topological spaces, fuzzy subspaces, fuzzy continuity mapping, fuzzy open mapping, fuzzy 2
T -spaces (Hausdorff spaces), and their different characterizations. Finally,
we have discussed our vision about the “good extension” characteristics. |
| format | Article |
| id | doaj-art-c972b676bddd4ff19cce4320881a1d2d |
| institution | DOAJ |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-c972b676bddd4ff19cce4320881a1d2d2025-08-20T02:40:26ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-03-0120320822010.26782/jmcms.2025.03.00014SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETSMd. Abdul Mottalib Talukder0B. M. Khalid Hossain1Department of Mathematics, Khulna University of Engineering & Technology, Khulna – 9203, BangladeshDepartment of Mathematics, Khulna University of Engineering & Technology, Khulna – 9203, BangladeshWithin this paper, we create the ideas of slightly Σα -shelter, shortly sΣα - shelter, and slightly Σα - compact, shortly sΣα - compact fuzzy sets. In addition, we have established certain theorems concerning our vision in fuzzy topological spaces, fuzzy subspaces, fuzzy continuity mapping, fuzzy open mapping, fuzzy 2 T -spaces (Hausdorff spaces), and their different characterizations. Finally, we have discussed our vision about the “good extension” characteristics. https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/15105640/jmcms-2503027-SOME-CHARACTERIZATIONS-OF-SLIGHTLY.pdffuzzy setsfuzzy topological spacessσα - sheltersσα - compact |
| spellingShingle | Md. Abdul Mottalib Talukder B. M. Khalid Hossain SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS Journal of Mechanics of Continua and Mathematical Sciences fuzzy sets fuzzy topological spaces sσα - shelter sσα - compact |
| title | SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS |
| title_full | SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS |
| title_fullStr | SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS |
| title_full_unstemmed | SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS |
| title_short | SOME CHARACTERIZATIONS OF SLIGHTLY Σα - COMPACT FUZZY SETS |
| title_sort | some characterizations of slightly σα compact fuzzy sets |
| topic | fuzzy sets fuzzy topological spaces sσα - shelter sσα - compact |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/03/15105640/jmcms-2503027-SOME-CHARACTERIZATIONS-OF-SLIGHTLY.pdf |
| work_keys_str_mv | AT mdabdulmottalibtalukder somecharacterizationsofslightlysacompactfuzzysets AT bmkhalidhossain somecharacterizationsofslightlysacompactfuzzysets |