Results 1 to 10 of about 246 (155)

A Study of Spaces of Sequences in Fuzzy Normed Spaces [PDF]

open access: yesMathematics, 2021
In this paper, spaces of sequences in fuzzy normed spaces are considered. These spaces are a new concept in fuzzy normed spaces. We develop fuzzy norms for spaces of sequences in fuzzy normed spaces. Especially, we study the representation of the dual of
Ju-Myung Kim, Keun-Young Lee
doaj   +2 more sources

Completion of Fuzzy Normed Spaces [PDF]

open access: yesEngineering and Technology Journal, 2011
In this paper we recall the definition of fuzzy normed space. Much attention is paid to the concept of completeness a property which a fuzzy normed space may or may not have. We prove that for a fuzzy normed space there is always a competition.
Jehad R.Kider
doaj   +2 more sources

Fuzzy n-normed linear space [PDF]

open access: yesInternational 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

On Fuzzy Normed Spaces [PDF]

open access: yesEngineering and Technology Journal, 2011
In this paper we introduce a new definition of a fuzzy normed space (to the best of our knowledge) then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Jehad R. Kider
doaj   +2 more sources

The Intuitionistic Fuzzy Normed Space of Coefficients [PDF]

open access: yesAbstract and Applied Analysis, 2012
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
B. T. Bilalov   +2 more
doaj   +3 more sources

New Fuzzy Normed Spaces

open access: yesمجلة بغداد للعلوم, 2012
In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Baghdad Science Journal
doaj   +4 more sources

Stabilities of Cubic Mappings in Fuzzy Normed Spaces [PDF]

open access: yesAdvances in Difference Equations, 2010
Rassias(2001) introduced the pioneering cubic functional equation in the history of mathematical analysis: and solved the pertinent famous Ulam stability problem for this inspiring equation.
Ghaffari Ali, Alinejad Ahmad
doaj   +4 more sources

Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals

open access: yesMathematics, 2020
The main goal of this paper is to introduce the notion of intuitionistic fuzzy normed rings and to establish basic properties related to it. We extend normed rings by incorporating the idea of intuitionistic fuzzy to normed rings, we develop a new ...
Nour Abed Alhaleem, Abd Ghafur Ahmad
doaj   +3 more sources

On the normed space of equivalence classes of fuzzy numbers. [PDF]

open access: yesScientificWorldJournal, 2013
We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.
Qiu D, Lu C, Zhang W.
europepmc   +5 more sources

Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm settings, in this paper,  definition of fuzzy strong $\phi$-b-normed linear space is given.
Abhishikta Das   +2 more
doaj   +1 more source

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