On Cluster Points of Sequences via Fuzzy Topology
The notion of fuzzy convergence, a prominent tool in fuzzy analysis, has wide applications in fuzzy inference. The present paper examines the distinctive features of the cluster points of fuzzy sequences in various fuzzy topological spaces. A characterization of the fuzzy indiscrete space regarding...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_713441_5da4f8ef84ba9ca80ad8844ae0c20964.pdf |
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| author | Jyothis K Mohan Sheeja T K Sunny Kuriakose A |
| author_facet | Jyothis K Mohan Sheeja T K Sunny Kuriakose A |
| author_sort | Jyothis K Mohan |
| collection | DOAJ |
| description | The notion of fuzzy convergence, a prominent tool in fuzzy analysis, has wide applications in fuzzy inference. The present paper examines the distinctive features of the cluster points of fuzzy sequences in various fuzzy topological spaces. A characterization of the fuzzy indiscrete space regarding the cluster points is obtained. Moreover, a detailed study of the cluster points of fuzzy sequences in fuzzy indiscrete, fuzzy discrete, fuzzy co-countable and fuzzy co-finite spaces is presented and characterizations of the cluster points in each space are established. Furthermore, the concepts of maximal cluster points, $c$-sets, $c_m$-sets and fuzzy $c$-sets of fuzzy sequences are proposed and their properties are investigated. |
| format | Article |
| id | doaj-art-f4c4dd47cace452e9627077365eaf875 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-f4c4dd47cace452e9627077365eaf8752025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-01214779210.22130/scma.2024.2002515.1336713441On Cluster Points of Sequences via Fuzzy TopologyJyothis K Mohan0Sheeja T K1Sunny Kuriakose A2Department of Mathematics, Maharaja's College, Ernakulam, Affiliated to M. G. University, Kottayam, India.Department of Mathematics, T. M. Jacob Memorial Government College, Manimalakunnu, India.Prinicipal, St. Kuriakose College of Management and Science, Kuruppampady, India.The notion of fuzzy convergence, a prominent tool in fuzzy analysis, has wide applications in fuzzy inference. The present paper examines the distinctive features of the cluster points of fuzzy sequences in various fuzzy topological spaces. A characterization of the fuzzy indiscrete space regarding the cluster points is obtained. Moreover, a detailed study of the cluster points of fuzzy sequences in fuzzy indiscrete, fuzzy discrete, fuzzy co-countable and fuzzy co-finite spaces is presented and characterizations of the cluster points in each space are established. Furthermore, the concepts of maximal cluster points, $c$-sets, $c_m$-sets and fuzzy $c$-sets of fuzzy sequences are proposed and their properties are investigated.https://scma.maragheh.ac.ir/article_713441_5da4f8ef84ba9ca80ad8844ae0c20964.pdffuzzy topologyfuzzy sequencecluster pointmaximal cluster pointfuzzy c-set |
| spellingShingle | Jyothis K Mohan Sheeja T K Sunny Kuriakose A On Cluster Points of Sequences via Fuzzy Topology Sahand Communications in Mathematical Analysis fuzzy topology fuzzy sequence cluster point maximal cluster point fuzzy c-set |
| title | On Cluster Points of Sequences via Fuzzy Topology |
| title_full | On Cluster Points of Sequences via Fuzzy Topology |
| title_fullStr | On Cluster Points of Sequences via Fuzzy Topology |
| title_full_unstemmed | On Cluster Points of Sequences via Fuzzy Topology |
| title_short | On Cluster Points of Sequences via Fuzzy Topology |
| title_sort | on cluster points of sequences via fuzzy topology |
| topic | fuzzy topology fuzzy sequence cluster point maximal cluster point fuzzy c-set |
| url | https://scma.maragheh.ac.ir/article_713441_5da4f8ef84ba9ca80ad8844ae0c20964.pdf |
| work_keys_str_mv | AT jyothiskmohan onclusterpointsofsequencesviafuzzytopology AT sheejatk onclusterpointsofsequencesviafuzzytopology AT sunnykuriakosea onclusterpointsofsequencesviafuzzytopology |