Ordered discrete and continuous Z-numbers
Both discrete and continuous Z-numbers are pairs of discrete and continuous fuzzy numbers. Even though the later are ordered, this do not simply imply the discrete and continuous Z-numbers are ordered as well. This paper proposed the idea of ordered discrete and continuous Z-numbers, which are neces...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2020
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| Online Access: | http://eprints.utm.my/91264/1/MujahidAbdullahi2020_OrderedDiscreteandContinuousZ-Numbers.pdf |
| _version_ | 1796865193298362368 |
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| author | Abdullahi, Mujahid Ahmad, Tahir Ramachandran, Vinod |
| author_facet | Abdullahi, Mujahid Ahmad, Tahir Ramachandran, Vinod |
| author_sort | Abdullahi, Mujahid |
| collection | ePrints |
| description | Both discrete and continuous Z-numbers are pairs of discrete and continuous fuzzy numbers. Even though the later are ordered, this do not simply imply the discrete and continuous Z-numbers are ordered as well. This paper proposed the idea of ordered discrete and continuous Z-numbers, which are necessary properties for constructing temporal Z-numbers. Linear ordering relation, ≺, is applied between set of discrete or continuous Z-numbers and any arbitrary ordered subset of ℝ to obtain the properties. |
| first_indexed | 2024-03-05T20:53:13Z |
| format | Article |
| id | utm.eprints-91264 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:53:13Z |
| publishDate | 2020 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-912642021-06-30T11:59:45Z http://eprints.utm.my/91264/ Ordered discrete and continuous Z-numbers Abdullahi, Mujahid Ahmad, Tahir Ramachandran, Vinod QA Mathematics Both discrete and continuous Z-numbers are pairs of discrete and continuous fuzzy numbers. Even though the later are ordered, this do not simply imply the discrete and continuous Z-numbers are ordered as well. This paper proposed the idea of ordered discrete and continuous Z-numbers, which are necessary properties for constructing temporal Z-numbers. Linear ordering relation, ≺, is applied between set of discrete or continuous Z-numbers and any arbitrary ordered subset of ℝ to obtain the properties. Penerbit UTM Press 2020-07 Article PeerReviewed application/pdf en http://eprints.utm.my/91264/1/MujahidAbdullahi2020_OrderedDiscreteandContinuousZ-Numbers.pdf Abdullahi, Mujahid and Ahmad, Tahir and Ramachandran, Vinod (2020) Ordered discrete and continuous Z-numbers. Malaysian Journal of Fundamental and Applied Sciences, 16 (4). pp. 403-407. ISSN 289-599X http://dx.doi.org/10.11113/mjfas.v16n4.1632 DOI:10.11113/mjfas.v16n4.1632 |
| spellingShingle | QA Mathematics Abdullahi, Mujahid Ahmad, Tahir Ramachandran, Vinod Ordered discrete and continuous Z-numbers |
| title | Ordered discrete and continuous Z-numbers |
| title_full | Ordered discrete and continuous Z-numbers |
| title_fullStr | Ordered discrete and continuous Z-numbers |
| title_full_unstemmed | Ordered discrete and continuous Z-numbers |
| title_short | Ordered discrete and continuous Z-numbers |
| title_sort | ordered discrete and continuous z numbers |
| topic | QA Mathematics |
| url | http://eprints.utm.my/91264/1/MujahidAbdullahi2020_OrderedDiscreteandContinuousZ-Numbers.pdf |
| work_keys_str_mv | AT abdullahimujahid ordereddiscreteandcontinuousznumbers AT ahmadtahir ordereddiscreteandcontinuousznumbers AT ramachandranvinod ordereddiscreteandcontinuousznumbers |