Results 241 to 250 of about 335 (266)
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Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness
New Mathematics and Natural Computation, 2020In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces. We also discuss the fuzzy boundedness of fuzzy compact operators. Furthermore, the spaces of fuzzy compact operators have been studied.
Mami Sharma, Debajit Hazarika
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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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A comparative study of fuzzy norms on a linear space
Fuzzy Sets and Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tarapada Bag, Syamal Kumar Samanta
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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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Statistical convergence in fuzzy normed linear spaces
Fuzzy Sets and Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Sençimen, Serpil Pehlivan
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λ - statistical convergence in fuzzy normed linear spaces
Journal of Intelligent & Fuzzy Systems, 2018In this paper, we have introduced λ - statistical convergence and condition of being λ - statistical Cauchy of real number sequences in fuzzy normed linear spaces. At the same time, in fuzzy normed spaces, we have introduced the concept of (
Muhammed Recai Türkmen, Muhammed Çinar
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Separation of fuzzy normed linear spaces
Fuzzy Sets and Systems, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krishna, S. V., Sarma, K. K. M.
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Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces
Fuzzy Sets and Systems, 2008The authors introduce suitable definitions of strongly fuzzy boundedness and weakly fuzzy boundedness for a linear operator over fuzzy normed linear spaces, by means of which a slightly modified definition of fuzzy normed linear space in Felbin's sense is given.
Tarapada Bag, Syamal Kumar Samanta
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The comparative study of gradual and fuzzy normed linear spaces
Journal of Intelligent & Fuzzy Systems, 2015In this paper, a comparative study of two types of norms on a linear space, namely gradual norm and fuzzy norm has been made and it is shown that they are equivalent in general. Because a gradual normed linear space is a locally convex space so a fuzzy normed linear space is also a locally convex space in classical sense.
Ildar Sadeqi, Farnaz Yaqub Azari
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Statistical convergence of order β in fuzzy normed linear spaces
Journal of Intelligent & Fuzzy Systems, 2019In this paper, we introduce the concepts of statistically convergent sequences of order β and statistically Cauchy sequences of order β in fuzzy normed spaces. Furthermore, we give the relations between statistically convergent sequences of order
Muhammed Çinar, Mikail Et
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