Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

Mami Sharma; Debajit Hazarika

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Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

机译：模糊界线线性运算符在模糊规范的线性空间及其模糊致密度

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In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces. We also discuss the fuzzy boundedness of fuzzy compact operators. Furthermore, the spaces of fuzzy compact operators have been studied.

机译：本文首先研究了模糊规范线性空间中线性算子模糊界限的各种概念之间的关系。我们还讨论了模糊致密操作员的模糊界限。此外，已经研究过模糊致密的操作员空间。

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来源
《New Mathematics and Natural Computation》 |2020年第1期|177-193|共17页
作者
Mami Sharma; Debajit Hazarika;
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作者单位

Department of Mathematical Sciences Tezpur University Napaam Sonitpur Assam 784028 India Department of Mathematics Pandit Deendayal Upadhyaya A. Mahavidyalaya Assam 784116 India;

Department of Mathematical Sciences Tezpur University Napaam Sonitpur Assam 784028 India;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy number; fuzzy norm; fuzzy bounded linear operator; fuzzy compact operator;

机译：模糊数;模糊常态;模糊界线线性操作员;模糊紧凑型操作员;

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专利

1. Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces [J] . T. Bag, S.K. Samanta Fuzzy sets and systems . 2008,第6期

机译：Felbin型模糊赋范线性空间中的模糊有界线性算子
2. Completeness of fuzzy normed linear space of all weakly fuzzy bounded linear operators [J] . Peisheng Ji, Weiqing Qi, Ranhong Wei Fuzzy sets and systems . 2014,第sepa16期

机译：所有弱模糊有界线性算子的模糊赋范线性空间的完备性
3. On Fuzzy Cone Normed Linear Spaces and α-fuzzy Cone Bounded Operators [J] . P. Tamang, T. Bag The Journal of fuzzy mathematics . 2018,第1期

机译：在模糊锥形规范的线性空间和α-fuzzy锥界算子
4. Some properties of fuzzy bounded sets in fuzzy normed linear spaces [C] . Alexandru Szabo, Tudor Binzar, Sorin Nadaban, International Conference of Numerical Analysis and Applied Mathematics . 2018

机译：模糊规范线性空间中模糊界定集的一些特性
5. Structure analysis of Mamdani fuzzy controllers with nonlinear input fuzzy sets. [D] . Haj-Ali, Amin Adel. 2002

机译：具有非线性输入模糊集的Mamdani模糊控制器的结构分析。
6. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem -1

机译：关于非Archimedean模糊度量空间中保近邻Ψ（σα）-下界渐近收缩映射的模糊阶的最优模糊最佳接近重合点
7. Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces [O] . 2021

机译：标准模糊常规空间上的模糊收敛序列和模糊致密操作

Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

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