Results on Approximation Properties in Intuitionistic Fuzzy Normed Linear Spaces

In this paper we introduce the notions approximation properties (APs) and bounded approximation properties (BAPs) in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs). Further, we define strong intuitionistic fuzzy continuous and strong intuitionistic fuzzy bounded operators and usin...

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Bibliographic Details
Published in:Theory and applications of mathematics & computer science Vol. 6; no. 2; p. 134
Main Authors: Debnath, Pradip, Konwar, Nabanita
Format: Journal Article
Language:English
Published: Arad "Aurel Vlaicu" University of Arad Department of Mathematics and Computer Science 01.10.2016
Subjects:
Applications of mathematics
Approximation
Fuzzy
Fuzzy sets
Linear equations
Mathematical analysis
Operators (mathematics)
Studies
Vector spaces
ISSN:2067-2764, 2247-6202
Online Access:Get full text
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Summary:In this paper we introduce the notions approximation properties (APs) and bounded approximation properties (BAPs) in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs). Further, we define strong intuitionistic fuzzy continuous and strong intuitionistic fuzzy bounded operators and using them we prove the existence of an IFNLS which does not have the approximation property. In addition, we give example of an IFNLS with the AP which fails to have the BAP.
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ISSN:2067-2764
2247-6202