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Fuzzy normed linear space

WebSep 5, 2024 · 3.6: Normed Linear Spaces. By a normed linear space (briefly normed space) is meant a real or complex vector space E in which every vector x is associated with a real number x , called its absolute value or norm, in such a manner that the properties (a′) − (c′) of §9 hold. That is, for any vectors x, y ∈ E and scalar a, we have. WebApr 9, 2024 · Some Basic Results on Fuzzy Strong \phi-b-Normed Linear Spaces. محل انتشار: مجله تحریریه ی آنالیز ریاضی سهند، دوره: 20، شماره: 2

Fuzzy normed linear space valued sequence space lpF (X).

WebIn 1984, Katsaras [13] defined a fuzzy norm on a linear space and at the same year Wu and Fang [21] also introduced a notion of fuzzy normed space and gave the generalization of the Kolmogoroff normalized theorem for fuzzy topological linear space. In [7], Biswas defined and studied fuzzy inner product spaces in linear space. Since then some ... WebFeb 28, 2013 · The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed linear spaces.MSC:03E72, 46B20, 51M25, 46B04, 46S40. in low time https://sproutedflax.com

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WebAug 5, 2024 · The principal aim of this research is to use the definition of fuzzy normed space to define fuzzy bounded operator as an introduction to define the fuzzy norm of a fuzzy bounded linear operator ... WebThe 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. Then, we examine the Fibonacci I-Cauchy sequences and Fibonacci I completeness in the construction ... WebJun 24, 2024 · The study of completion of fuzzy metric space and fuzzy normed linear space constitutes a natural and interesting open question in the analysis of such spaces. … in low light

Fuzzy normed linear space valued sequence space lpF (X).

Category:On linearly topological structure and property of fuzzy normed linear space

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Fuzzy normed linear space

Fuzzy linear operators and fuzzy normed linear spaces

Weba linear space. In the present paper, we introduce the concept of fuzzy n-normed linear space as a generalization of n-normed space by Gunawan and Mashadi [11]. Bag and … WebMar 6, 2024 · From the concept of fuzzy normed linear space to the notion of fuzzy normed algebra it is one step that should be done. Recently, based on the concept of …

Fuzzy normed linear space

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WebMay 29, 2013 · Using the notion of fuzzy number, Felbin put forward the concept of fuzzy norm on a linear space, which is based on the treatment of a fuzzy metric introduced by Kaleva and Seikkala . Some topological properties of fuzzy normed linear spaces were found in . Other types of fuzzy normed linear spaces can be found in [4, 5]. WebA comparative study of fuzzy norms on a linear space. Fuzzy Sets Syst. 2008, 159, 670–684. [Google Scholar] Saheli, M. A comparative study of fuzzy norms of linear operators on a fuzzy normed linear spaces. J. Math. Model. 2015, 2, 217–234. [Google Scholar] Xiao, J.; Zhu, X. On linearly topological structure and property of fuzzy normed ...

WebJun 15, 2009 · Application of fuzzy operator theory for image compression. In classical mathematics, various kinds of operators (Fourier, Laplace, integral, wavelet) are used as … WebNov 19, 2024 · The concept of fuzzy norm was first introduced by Katsaras [] in the year 1984.After that, in 1992, Felbin [] defined a fuzzy norm on a linear space with an associated metric of the Kaleva and Seikkala type [].Further developement in the notion of fuzzy norm took place in 1994, when Cheng and Moderson [] gave the definition of …

WebApr 9, 2024 · Some Basic Results on Fuzzy Strong \phi-b-Normed Linear Spaces. محل انتشار: مجله تحریریه ی آنالیز ریاضی سهند، دوره: 20، شماره: 2 WebThis paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space. Our result generalizes the classical Hahn-Banach extension theorem for normed spaces.

WebThen (X,µ,v,∗,⋄) is an intuitionistic fuzzy normed space. Definition 2.2.An ideal Iis a non-empty collection of subsets of Xwhich satisfies conditions (1) and (2) of the following statements:

WebMar 16, 2024 · Sadeqi I, Kia F, Fuzzy normed linear space and its . topological Structure. Chaos Solitions and Fractals. 2009;40(5):2576-2589. 4. Nadaban S, Fuzzy continuous mapping in fuzzy . in lowering graph for mini graph inputWebAbstract. We introduce the concepts of fuzzy linear operator and fuzzy normed linear space. We determine the algebraic structure of the set of all fuzzy linear operators of a … in low-graphics modeWebfuzzy n-normed linear space ·Statistical limit point ·Statistical cluster point 1. Introduction Zadeh [35] introduced the fuzzy set theory in 1965. Later on fuzzy logic became an … in lu of factWebSep 30, 2016 · Let (X, N, ∗) be a fuzzy normed linear space and (x n) be a sequence in X. 1. The sequence ( x n ) is said to b e convergent if there exists x ∈ X suc h that in low speedWebThe idea of fuzzy norm was initiated by Katsaras [29]. elbinF [21] de ned a fuzzy norm on a linear space whose associated fuzzy metric is of Kaleva and Seikkala type [25]. Cheng and Mordeson [12] introduced an idea of a fuzzy norm on a linear space whose associated metric is Kramosil and Michalek type [32]. Bag and Samanta in in lowes obituariesWebNov 19, 2024 · As the fuzzy mathematics along with the classical ones are constantly developing, the above fixed point results in fuzzy cone normed linear space setting can … in lu what is lu really good atWebAug 13, 2024 · George and Veeramani [52, 53] have introduced and studied a notion of fuzzy metric space with the help of continuous t-norms, which constitutes a slight but appealing modification of the one due to Kramosil and Michalek [] and Kaleva and Seikkala [].Fuzzy normed spaces were introduced by Saadati and Vaezpour in 2005 [] by means … in lucid dreams people