Results 1 to 10 of about 158 (137)

Fuzzy Normed Linear Spaces Generated By Linear Functionals [PDF]

Sahand Communications in Mathematical Analysis, 2023
For a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to
Ali Reza Khoddami, Fatemeh Kouhsari
doaj   +3 more sources

The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we first show that the  induced topologies by Felbin and Bag-Samanta type fuzzy norms on a linear space $X$ are equivalent. So all results in Felbin-fuzzy normed linear spaces are valid in Bag-Samanta fuzzy normed linear spaces and vice ...
Farnaz Yaqub Azari, Ildar Sadeqi
doaj   +2 more sources

Fuzzy n-normed linear space [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined.
AL. Narayanan, S. Vijayabalaji
doaj   +2 more sources

A Study of Boundedness in Fuzzy Normed Linear Spaces [PDF]

Symmetry, 2019
In the present paper some different types of boundedness in fuzzy normed linear spaces of type ( X , N , ∗ ) , where ∗ is an arbitrary t-norm, are considered. These boundedness concepts are very general and some of them have no correspondent in the classical topological metrizable linear spaces.
Pater Flavius, Tudor Binzar, Flavius Pater   +2 more
exaly   +2 more sources

Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces

Fuzzy Information and Engineering, 2022
The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
doaj   +3 more sources

A contractive mappings on fuzzy normed linear spaces [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2016
‎In this paper‎, ‎we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction‎. ‎We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces‎.
Morteza Saheli
doaj   +3 more sources

On the fuzzy convergence of sequences in a fuzzy normed linear space [PDF]

Journal of Korean Institute of Intelligent Systems, 2008
In this paper, we introduce the notions of a fuzzy convergence of sequences, fuzzy Cauchy sequence and the related fuzzy completeness on a fuzzy normed linear space. And we investigate some properties relative to fuzzy normed linear spaces. In particular, we prove an equivalent conditions that a fuzzy norm defined on a ordinary normed linear space is ...
Gil-Seob Rhie, In-Ah Hwang
exaly   +2 more sources

INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE [PDF]

Bulletin of the Korean Mathematical Society, 2007
The motivation of this paper is to present a new and interesting notion of intuitionistic fuzzy n-normed linear space. Cauchy sequence and convergent sequence in intuitionistic fuzzy n-normed linear space are introduced and we provide some results onit.
Young-Bae Jun
exaly   +2 more sources

Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces

مجلة بغداد للعلوم, 2019
In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
doaj   +4 more sources

Intuitionistic Type-2 Fuzzy Normed Linear Space and Some of Its Basic Properties

Mathematics
An intuitionistic fuzzy set is a more generalised tool than a fuzzy set for handling unpredictability as, in an intuitionistic fuzzy set, there is scope for considering a grade of non-membership, independent of the grade of membership, only satisfying ...
Amit Biswas, Moumita Chiney, Syamal Kumar Samanta   +2 more
doaj   +3 more sources