Fuzzy normed linear space

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August undefined, 2024

WebJan 16, 2002 · In this paper, the simplified definition of fuzzy normed linear space is introduced; the different structure of fuzzy normed linear space with variable right norm R is discussed in terms of topological vector space, and its properties such as compactness, completeness and density are studied under more general left norm L and right norm R; … WebJun 2, 2024 · In this article we define the notion of fuzzy normed linear space valued sequence space lFp (X), 1 ≤ p ∞ in a fuzzy normed linear space X and discuss some of its properties like completeness, monotone, solidness, convergence free and symmetricity. Also we prove some inclusion results.

Fuzzy normed linear space and its topological structure

WebJun 16, 2024 · Abstract. The purpose of this paper is to define the notions of convergence, Cauchy st —convergence, st —Cauchy, I —convergence and I —Cauchy for double sequences in 2—fuzzy n —normed spaces with respect to α —n—norms and study certain classical and standard properties related to these notions. 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 ... cyber monday deals dicks

Finite dimensional fuzzy normed linear space - ScienceDirect

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: WebAug 10, 2016 · The dual of a fuzzy normed space for fuzzy strongly bounded linear functional was introduced in . Recently many authors studied Felbin-type fuzzy normed linear spaces and established some results (for references please see [10, 12]). Actually after that, the researches in fuzzy functional analysis have gained a great momentum … WebFollowing 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 … cyber monday deals dell xps 13

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WebSep 1, 2024 · On fuzzy normed linear space valued statistically ∗ convergent sequences. In this article we deﬁne the notion of statistically convergent and statistically null sequences with the concept of fuzzy norm and discuss some of their properties such as completeness, monotone, solidness, symmetricity sequence algebra and convergence free. WebFollowing the introduction of fuzzy set theory by Zadeh [44], there has been extensive research to ﬁnd applications and fuzzy analogues of the classical theories. The theory … cyber monday deals dronesWebJan 1, 2016 · Let (X, F) be a fuzzy pseudo-normed linear space. (X, F) is said to be complete if any Cauchy sequence in X is convergent to a point in X. Definition 4.6. Let (X, F) be a fuzzy pseudo-normed linear space, α ∈ (0, 1) and (x n) be a sequence in X. The sequence (x n) is said to be α-convergent if exists x ∈ X such that (∀) t > 0, (∃) n 0 ... cyber monday deals dash cams

"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 … " - Fuzzy normed linear space

Fuzzy normed linear space

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 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

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WebThe 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 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 …

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. Webfuzzy 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 …

WebNov 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 … WebJan 1, 2005 · Abstract. 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 ...

WebJan 16, 2002 · In this paper, the simplified definition of fuzzy normed linear space is introduced; the different structure of fuzzy normed linear space with variable right norm …

WebJun 16, 2024 · Abstract. The purpose of this paper is to define the notions of convergence, Cauchy st —convergence, st —Cauchy, I —convergence and I —Cauchy for double … cyber monday deals dell best buy 2018WebJan 1, 2005 · Motivated by the theory of n -normed linear space [8,9,11,13,15] and fuzzy normed linear space [1,2,3,4,5,6,7,10,12,14] the notions of fuzzy n -normed linear … cheap miss me jeans cheap miss me jeans 26WebAbstract. 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 … cheap miss me jeans wholesaleWebMar 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 … cheap miss me shirtsWebFollowing 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. Here the scalar function c is replaced by a general function \phi(c) where \phi satisfies some properties. cheap miss me jeans size 34WebMar 24, 2005 · Abstract. 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 … cyber monday deals dryer machines