Results 1 to 10 of about 101 (77)
Classification of Complex Fuzzy Numbers and Fuzzy Inner Products [PDF]
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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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 over Fuzzy Matrices [PDF]
Journal of Mathematics, 2016 The purpose of this study was to introduce the inner product over fuzzy matrices. By virtue of this definition, α-norm is defined and the parallelogram law is proved.
A. Nagoor Gani +2 more
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Inner product of fuzzy vectors [PDF]
Soft Computing, 2021 Abstract The inner product of vectors of non-normal fuzzy intervals will be studied in this paper by using the extension principle and the form of decomposition theorem. The membership functions of inner product will be different with respect to these two different methodologies.
Hsien-Chung Wu, Wu Hsien-Chung
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About the construction of fuzzy inner product
مجلة بغداد للعلوم, 2006 In this research for each positive integer integer and is accompanied by connecting that number with the number of Bashz Attabq result any two functions midwives to derive a positive integer so that there is a ...
Baghdad Science Journal
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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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Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces [PDF]
Abstract and Applied Analysis, 2011 In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space.
Zhihua Wang, Themistocles M. Rassias
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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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