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Continuity in an intuitionistic fuzzy normed space
2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010In this paper, we prove that the addition, scalar multiplication and intuitionistic fuzzy norm in an intuitionistic fuzzy normed space are all automatically continuous. The intuitionistic fuzzy continuity and boundedness of linear operators between intuitionistic fuzzy normed spaces are also discussed.
Hai-Yan Si, Huai-Xin Cao, Ping Yang
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On Fuzzy Conjugate Spaces of Fuzzy 2-Normed Spaces
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021In this paper we give the definition of fuzzy 2-bounded linear functional and the notions of his fuzzy norm is introduced. Also, we introduce fuzzy conjugate space of a fuzzy 2-normed linear space and give some facts that are related with it.
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Fuzzy Normed Spaces and Fuzzy Metric Spaces
2018In this chapter, we define fuzzy normed spaces and show that every fuzzy normed space induces a fuzzy metric space. Then we consider the topology induced by fuzzy normed (metric) spaces and show some important topological properties of them. Next, we study fuzzy inner product spaces and some properties of these spaces.
Yeol Je Cho +2 more
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Fuzzy pseudo-norms and fuzzy F-spaces
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intuitionistic Fuzzy Pseudo-Normed Linear Spaces
New Mathematics and Natural Computation, 2018We introduce the definition of intuitionistic fuzzy pseudo-norm and study some properties of convergence and [Formula: see text]-convergence in intuitionistic fuzzy pseudo-normed linear spaces.
Bivas Dinda +2 more
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Fuzzy approximate m-mappings in quasi fuzzy normed spaces
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation properties in fuzzy normed spaces
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2020
In this chapter we will present different concepts of fuzzy norms on a linear space, introduced by various authors from different points of view. Thus, in 1984, Katsaras was the first who introduced the notion of fuzzy norm, this being of Minkowsky type, associated to an absolutely convex and absorbing fuzzy set.
Sorin Nădăban +2 more
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In this chapter we will present different concepts of fuzzy norms on a linear space, introduced by various authors from different points of view. Thus, in 1984, Katsaras was the first who introduced the notion of fuzzy norm, this being of Minkowsky type, associated to an absolutely convex and absorbing fuzzy set.
Sorin Nădăban +2 more
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Summary: In this paper, we introduce a new approach to generate a fuzzy norm using a classic norm and a continuous Archimedean $t$-norm (CATN). Our method involves two steps. First, we utilize a CATN to create a continuous additive generator (CAG). Then, we employ the corresponding additive generator (AG) and a classic norm to generate a fuzzy norm.
Khoddami, Ali Reza, Tourani, Rasoul
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Khoddami, Ali Reza, Tourani, Rasoul
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Fuzzy inner product spaces and fuzzy norm functions
Information Sciences, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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