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

Mami Sharma and Debajit Hazarika ()
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Mami Sharma: Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam 784028, India
Debajit Hazarika: Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam 784028, India

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 01, 177-193

Abstract: 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.

Keywords: Fuzzy number; fuzzy norm; fuzzy bounded linear operator; fuzzy compact operator (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500118

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