由Orlicz函数定义的模糊实数的二重序列空间

The Nepali Mathematical Sciences Report Pub Date : 2022-12-31 DOI:10.3126/nmsr.v39i2.51698

G. Paudel, N. Pahari, Sanjeev Kumar

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引用次数: 1

摘要

模糊逻辑和模糊集理论已经成功地应用于社会科学、管理科学和数学的各个研究领域。本文利用模糊实数的概念，引入并研究了由Orlicz函数定义的模糊实数的新的二重序列空间l∞(M， λ， ρ)、C F (M， λ， ρ)和CoF (M， λ， ρ)，并研究了它们的线性空间结构、完备性和可靠性等性质。

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Double Sequence Space of Fuzzy Real Numbers Defined by Orlicz Function

The theory of fuzzy logic and the fuzzy set has been successfully applied in various fields of research in social science, management science, and mathematics. In this paper, we use the concept of Fuzzy real numbers to introduce and study the new double sequence spaces l∞ (M, λ, ρ), C F (M, λ, ρ) and CoF (M, λ, ρ) of fuzzy real numbers defined by the Orlicz function and study some of their properties like linear space structure, completeness, and solidness.

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The Nepali Mathematical Sciences Report

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