<b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566
<p class="aresumo">The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces <em>c<sup>F</sup></em>(<em>f,</em>Λ,Δ...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidade Estadual de Maringá
2013-01-01
|
| Series: | Acta Scientiarum: Technology |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15566 |
| _version_ | 1818390734036795392 |
|---|---|
| author | Binod Chandra Tripathy Shyamal Debnath |
| author_facet | Binod Chandra Tripathy Shyamal Debnath |
| author_sort | Binod Chandra Tripathy |
| collection | DOAJ |
| description | <p class="aresumo">The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces <em>c<sup>F</sup></em>(<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>), (<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>) and (<em>f</em>,Λ,Δ<em><sub>m</sub></em><sub>,</sub><em>p</em>) of fuzzy numbers associated with the multiplier sequence Λ= (λ<sub>k</sub>) defined by a modulus function <em>f</em>. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.</p> <p class="akeyword"> </p> |
| first_indexed | 2024-12-14T05:02:20Z |
| format | Article |
| id | doaj.art-657fc8199c5446e09b39bd8b2861d00e |
| institution | Directory Open Access Journal |
| issn | 1806-2563 1807-8664 |
| language | English |
| last_indexed | 2024-12-14T05:02:20Z |
| publishDate | 2013-01-01 |
| publisher | Universidade Estadual de Maringá |
| record_format | Article |
| series | Acta Scientiarum: Technology |
| spelling | doaj.art-657fc8199c5446e09b39bd8b2861d00e2022-12-21T23:16:12ZengUniversidade Estadual de MaringáActa Scientiarum: Technology1806-25631807-86642013-01-0135111712110.4025/actascitechnol.v35i1.155668724<b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566Binod Chandra Tripathy0Shyamal Debnath1Institute of Advanced Study in Science and TechnologyNational Institute of Technology<p class="aresumo">The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces <em>c<sup>F</sup></em>(<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>), (<em>f,</em>Λ,Δ<em><sub>m</sub></em>,<em>p</em>) and (<em>f</em>,Λ,Δ<em><sub>m</sub></em><sub>,</sub><em>p</em>) of fuzzy numbers associated with the multiplier sequence Λ= (λ<sub>k</sub>) defined by a modulus function <em>f</em>. We study some of their properties like solidity, symmetricity, completeness etc. and prove some inclusion results.</p> <p class="akeyword"> </p>http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15566fuzzy numbersparanormmodulus functiondifference sequencemultiplier sequence |
| spellingShingle | Binod Chandra Tripathy Shyamal Debnath <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 Acta Scientiarum: Technology fuzzy numbers paranorm modulus function difference sequence multiplier sequence |
| title | <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 |
| title_full | <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 |
| title_fullStr | <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 |
| title_full_unstemmed | <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 |
| title_short | <b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566 |
| title_sort | b on generalized difference sequence spaces of fuzzy numbers b doi 10 4025 actascitechnol v35i1 15566 |
| topic | fuzzy numbers paranorm modulus function difference sequence multiplier sequence |
| url | http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/15566 |
| work_keys_str_mv | AT binodchandratripathy bongeneralizeddifferencesequencespacesoffuzzynumbersbdoi104025actascitechnolv35i115566 AT shyamaldebnath bongeneralizeddifferencesequencespacesoffuzzynumbersbdoi104025actascitechnolv35i115566 |