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2012 The Intuitionistic Fuzzy Normed Space of Coefficients
B. T. Bilalov, S. M. Farahani, F. A. Guliyeva
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/969313

Abstract

Intuitionistic fuzzy normed space is defined using concepts of t -norm and t -conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this space are proved. Strong basicity criterion in fuzzy Banach space is presented in terms of coefficient operator.

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B. T. Bilalov. S. M. Farahani. F. A. Guliyeva. "The Intuitionistic Fuzzy Normed Space of Coefficients." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/969313

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1242.46093
MathSciNet: MR2926883
Digital Object Identifier: 10.1155/2012/969313

Rights: Copyright © 2012 Hindawi

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