Generalized Interval-Valued Neutrosophic Set and Its Application
<p>In this work, we introduce the idea of generalized interval-valued neutrosophic sets. After providing the fundamental definitions of operations related to these sets, we establish several key properties and explore the relationships between generalized interval-valued neutrosophic sets and...
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Bandar Abbas Branch
2025-06-01
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| Series: | Transactions on Fuzzy Sets and Systems |
| Subjects: | |
| Online Access: | https://sanad.iau.ir/journal/tfss/Article/1130042 |
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| _version_ | 1850114778302775296 |
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| author | Anjan Mukherjee Rakhal Das |
| author_facet | Anjan Mukherjee Rakhal Das |
| author_sort | Anjan Mukherjee |
| collection | DOAJ |
| description | <p>In this work, we introduce the idea of generalized interval-valued neutrosophic sets. After providing the fundamental definitions of operations related to these sets, we establish several key properties and explore the relationships between generalized interval-valued neutrosophic sets and other related concepts. Finally, we extend the notion of generalized neutrosophic topological spaces to incorporate generalized interval-valued neutrosophic topological spaces. We define the concept of generalized interval-valued neutrosophic g-continuous function between two generalized interval-valued neutrosophic topological spaces. Lastly, an application has been shown in decision making problem.</p> |
| format | Article |
| id | doaj-art-d2268d86ed83485fbdf8142f3eaef6e7 |
| institution | OA Journals |
| issn | 2821-0131 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Islamic Azad University, Bandar Abbas Branch |
| record_format | Article |
| series | Transactions on Fuzzy Sets and Systems |
| spelling | doaj-art-d2268d86ed83485fbdf8142f3eaef6e72025-08-20T02:36:45ZengIslamic Azad University, Bandar Abbas BranchTransactions on Fuzzy Sets and Systems2821-01312025-06-0142113Generalized Interval-Valued Neutrosophic Set and Its ApplicationAnjan MukherjeeRakhal Das<p>In this work, we introduce the idea of generalized interval-valued neutrosophic sets. After providing the fundamental definitions of operations related to these sets, we establish several key properties and explore the relationships between generalized interval-valued neutrosophic sets and other related concepts. Finally, we extend the notion of generalized neutrosophic topological spaces to incorporate generalized interval-valued neutrosophic topological spaces. We define the concept of generalized interval-valued neutrosophic g-continuous function between two generalized interval-valued neutrosophic topological spaces. Lastly, an application has been shown in decision making problem.</p>https://sanad.iau.ir/journal/tfss/Article/1130042 neutrosophic set neutrosophic topology interval-valued neutrosophic set generalized neutrosophic set generalized interval-valued neutrosophic set generalized interval-valued neutrosophic topological space. |
| spellingShingle | Anjan Mukherjee Rakhal Das Generalized Interval-Valued Neutrosophic Set and Its Application Transactions on Fuzzy Sets and Systems neutrosophic set neutrosophic topology interval-valued neutrosophic set generalized neutrosophic set generalized interval-valued neutrosophic set generalized interval-valued neutrosophic topological space. |
| title | Generalized Interval-Valued Neutrosophic Set and Its Application |
| title_full | Generalized Interval-Valued Neutrosophic Set and Its Application |
| title_fullStr | Generalized Interval-Valued Neutrosophic Set and Its Application |
| title_full_unstemmed | Generalized Interval-Valued Neutrosophic Set and Its Application |
| title_short | Generalized Interval-Valued Neutrosophic Set and Its Application |
| title_sort | generalized interval valued neutrosophic set and its application |
| topic | neutrosophic set neutrosophic topology interval-valued neutrosophic set generalized neutrosophic set generalized interval-valued neutrosophic set generalized interval-valued neutrosophic topological space. |
| url | https://sanad.iau.ir/journal/tfss/Article/1130042 |
| work_keys_str_mv | AT anjanmukherjee generalizedintervalvaluedneutrosophicsetanditsapplication AT rakhaldas generalizedintervalvaluedneutrosophicsetanditsapplication |