Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function
We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2011/216414 |
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| author | Binod Chandra Tripathy Stuti Borgohain |
| author_facet | Binod Chandra Tripathy Stuti Borgohain |
| author_sort | Binod Chandra Tripathy |
| collection | DOAJ |
| description | We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces. |
| format | Article |
| id | doaj-art-67c9f6e1fe1c4638a9ce69e392d7d50f |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-67c9f6e1fe1c4638a9ce69e392d7d50f2025-02-03T06:06:07ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/216414216414Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz FunctionBinod Chandra Tripathy0Stuti Borgohain1Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati 781035, IndiaDepartment of Mathematics, Indian Institute of Technology Bombay, Powai, Maharashtra, Mumbai 400076, IndiaWe introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. Some properties of these sequence spaces like solidness, symmetricity, and convergence-free are studied. We obtain some inclusion relations involving these sequence spaces.http://dx.doi.org/10.1155/2011/216414 |
| spellingShingle | Binod Chandra Tripathy Stuti Borgohain Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function Advances in Fuzzy Systems |
| title | Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function |
| title_full | Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function |
| title_fullStr | Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function |
| title_full_unstemmed | Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function |
| title_short | Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function |
| title_sort | some classes of difference sequence spaces of fuzzy real numbers defined by orlicz function |
| url | http://dx.doi.org/10.1155/2011/216414 |
| work_keys_str_mv | AT binodchandratripathy someclassesofdifferencesequencespacesoffuzzyrealnumbersdefinedbyorliczfunction AT stutiborgohain someclassesofdifferencesequencespacesoffuzzyrealnumbersdefinedbyorliczfunction |