A Study of Boundedness in Fuzzy Normed Linear Spaces

Author:

Binzar ,Pater ,Nadaban

Abstract

In the present paper some different types of boundedness in fuzzy normed linear spacesof type (X, N, ∗), where is an arbitrary t-norm, are considered. These boundedness concepts arevery general and some of them have no correspondent in the classical topological metrizable linearspaces. Properties of such bounded sets are given and we make a comparative study among thesetypes of boundedness. Among them there are various concepts concerning symmetrical properties ofthe studied objects arisen from the classical setting appropriate for this journal topics. We establishthe implications between them and illustrate by examples that these concepts are not similar.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference24 articles.

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5. Finite dimensional fuzzy normed linear spaces;Bag;J. Fuzzy Math.,2003

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