Fuzzy Strong Ï•-b-Normed Linear Space for Fuzzy Bounded Linear Operators

Abhishikta Das () and T. Bag
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Abhishikta Das: Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan 731235, West Bengal, India
T. Bag: Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan 731235, West Bengal, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 03, 855-873

Abstract: In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong Ï•-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of BF(X,Y) is established.

Keywords: Fuzzy normed linear space; t-norm; fuzzy strong Ï•-b-normed linear space; fuzzy bounded linear operator; operator fuzzy norm (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500394

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