<b>On generalized difference sequence spaces of fuzzy numbers</b> - doi: 10.4025/actascitechnol.v35i1.15566

• Main Authors: Binod Chandra Tripathy, Shyamal Debnath
• Format: Article
• Language: English
• Published: Universidade Estadual de Maringá 2013-01-01
• Series: Acta Scientiarum: Technology
• Subjects: fuzzy numbers; paranorm; modulus function; difference sequence; multiplier sequence
• Online Access: http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/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^F</em>(<em>f,</em>Λ,Δ<em>_m</em>,<em>p</em>), (<em>f,</em>Λ,Δ<em>_m</em>,<em>p</em>) and (<em>f</em>,Λ,Δ<em>_m</em>_,<em>p</em>) of fuzzy numbers associated with the multiplier sequence Λ= (λ_k) 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>