Results 1 to 10 of about 13,893 (57)
Fuzzy Inner Product Space: Literature Review and a New Approach [PDF]
Mathematics, 2021 The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature.
Lorena Popa, Lavinia Sida
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Absence of Non-Trivial Fuzzy Inner Product Spaces and the Cauchy–Schwartz Inequality [PDF]
Mathematics, 2020 First, we show that the non-trivial fuzzy inner product space under the linearity condition does not exist, which means a fuzzy inner product space with linearity produces only a crisp real number for each pair of vectors. If the positive-definiteness is
Taechang Byun +3 more
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Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces
Journal of Mathematics, 2022 It has been shown that the class of fuzzy sets has a quasilinear space structure. In addition, various norms are defined on this class, and it is given that the class of fuzzy sets is a normed quasilinear space with these norms.
Yılmaz Yılmaz +3 more
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FUZZY n-INNER PRODUCT SPACE [PDF]
Bulletin of the Korean Mathematical Society, 2007 The purpose of this paper is to introduce the notion of fuzzy n-inner product space. Ascending family of quasi -n-norms corresponding to fuzzy quasi n-norm is introduced and we provide some results on it.
Srinivasan Vijayabalaji +1 more
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Classification of Complex Fuzzy Numbers and Fuzzy Inner Products
Mathematics, 2020 The paper is concerned with complex fuzzy numbers and complex fuzzy inner product spaces. In the classical complex number set, a complex number can be expressed using the Cartesian form or polar form. Both expressions are needed because one expression is
Jin Hee Yoon +3 more
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The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces [PDF]
Discrete Dynamics in Nature and Society, 2010 Th. M. Rassias (1984) proved that the norm defined over a real vector space 𝑋 is induced by an inner product if and only if for a fixed integer 𝑛≥2,∑𝑛𝑖=1‖𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗‖2=∑𝑛𝑖=1‖𝑥𝑖‖2∑−𝑛‖(1/𝑛)𝑛𝑖=1𝑥𝑖‖2 holds for all 𝑥1,…,𝑥𝑛∈𝑋.
M. Eshaghi Gordji, H. Khodaei
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On fuzzy n-inner product spaces [PDF]
AIP Conference Proceedings, 2017 In this paper, first we show that every n-inner product space can be reduced to (n-1) inner product space. Then we construct a new concept of fuzzy n-inner product space. Furthermore, we show that every fuzzy n-inner product space can be reduced to fuzzy (n-1) inner product space.
Abdul Hadi, Mashadi, Sri Gemawati
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Another Type of Fuzzy Inner Product Space
Iraqi Journal of Science, 2023 In this paper, we generalize the definition of fuzzy inner product space that is introduced by Lorena Popa and Lavinia Sida on a complex linear space. Certain properties of the generalized fuzzy inner product function are shown. Furthermore, we prove that this fuzzy inner product produces a Nadaban-Dzitac fuzzy norm.
Raghad I. Sabri, Buthainah A. A. Ahmed
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Some Properties of Fuzzy Inner Product Space
Iraqi Journal of Science, 2021 Our goal in the present paper is to introduce a new type of fuzzy inner product space. After that, to illustrate this notion, some examples are introduced. Then we prove that that every fuzzy inner product space is a fuzzy normed space. We also prove that the cross product of two fuzzy inner spaces is again a fuzzy inner product space.
J. Kider
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Operators in 2-fuzzy n-n inner product space
Malaya Journal of Matematik, 2018 In this paper various 2 -fuzzy operators are introduced in 2 -fuzzy $n-n$ inner product space and the properties of 2-fuzzy self-adjoint, 2-fuzzy normal, 2-fuzzy unitary and 2-fuzzy projection operators are studied.
null Thangaraj Beaula, null Daniel Evans
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