Fuzzy p-absolutely summable difference sequences
In this work, we introduce the notion of p-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of p-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the comp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72812/ http://psasir.upm.edu.my/id/eprint/72812/1/Fuzzy%20p-absolutely%20summable%20difference%20sequences.pdf |
| _version_ | 1848857207788011520 |
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| author | Dutta, Hemen Kilicman, Adem Esi, Ayhan |
| author_facet | Dutta, Hemen Kilicman, Adem Esi, Ayhan |
| author_sort | Dutta, Hemen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, we introduce the notion of p-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of p-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well. |
| first_indexed | 2025-11-15T11:53:53Z |
| format | Article |
| id | upm-72812 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:53Z |
| publishDate | 2018 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-728122021-03-10T07:36:45Z http://psasir.upm.edu.my/id/eprint/72812/ Fuzzy p-absolutely summable difference sequences Dutta, Hemen Kilicman, Adem Esi, Ayhan In this work, we introduce the notion of p-absolutely summability of difference sequences of fuzzy numbers and then reduce the concept of p-absolutely summable sequences of fuzzy numbers. We discuss the sets of such sequences of fuzzy numbers under different fuzzy metrics. We also establish the completeness under suitable metric. Examples along with suitable explanation are incorporated to make the theory of this paper interesting and useful. Finally, the concepts of fuzzy solidity and fuzzy symmetricity are defined and the classes for these two properties are examined as well. World Scientific Publishing 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72812/1/Fuzzy%20p-absolutely%20summable%20difference%20sequences.pdf Dutta, Hemen and Kilicman, Adem and Esi, Ayhan (2018) Fuzzy p-absolutely summable difference sequences. New Mathematics and Natural Computation, 14 (2). 221 - 233. ISSN 1793-0057; ESSN: 1793-7027 https://www.worldscientific.com/doi/abs/10.1142/S179300571850014X 10.1142/S179300571850014X |
| spellingShingle | Dutta, Hemen Kilicman, Adem Esi, Ayhan Fuzzy p-absolutely summable difference sequences |
| title | Fuzzy p-absolutely summable difference sequences |
| title_full | Fuzzy p-absolutely summable difference sequences |
| title_fullStr | Fuzzy p-absolutely summable difference sequences |
| title_full_unstemmed | Fuzzy p-absolutely summable difference sequences |
| title_short | Fuzzy p-absolutely summable difference sequences |
| title_sort | fuzzy p-absolutely summable difference sequences |
| url | http://psasir.upm.edu.my/id/eprint/72812/ http://psasir.upm.edu.my/id/eprint/72812/ http://psasir.upm.edu.my/id/eprint/72812/ http://psasir.upm.edu.my/id/eprint/72812/1/Fuzzy%20p-absolutely%20summable%20difference%20sequences.pdf |