Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
IEEE Access, 2019 In this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership ...
Guiwu Wei +4 more
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Complexity, 2018 We propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function.
Donghai Liu, Xiaohong Chen, Dan Peng
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Estimating the Gerber-Shiu Function in Lévy Insurance Risk Model by Fourier-Cosine Series Expansion [PDF]
Mathematics, 2021 Wen Su, Yunyun Wang
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The mathematical model and a case study of the cosine face gear drive that has a predesigned fourth order function of transmission errors and a localized bearing contact [PDF]
Advances in Mechanical Engineering, 2019 Traditionally, a face gear drive uses an involute pinion. If the number of teeth of pinion is smaller than the minimum number of teeth without undercutting, the pinion will be undercut. To avoid undercutting, it is necessary to quit using involute pinion.
Cheng-Kang Lee
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Riemann-Liouville fractional cosine functions
Electronic Journal of Differential Equations, 2016 In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Zhan-Dong Mei, Ji-Gen Peng
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Evaluating Some Improper Sine and Cosine Integrals
AxiomsWe consider four infinite collections of improper integrals involving the sine and cosine functions and provide explicit values for the integrals in each of the collections.
Russell A. Gordon
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On a subfamily of starlike functions related to Hyperbolic Cosine function [PDF]
The Journal of Analysis, 2022 We introduce and study a new Ma-Minda subclass of starlike functions $\mathcal{S}^*_{\varrho},$ defined as $$\mathcal{S}^{*}_{\varrho}:=\left\{f\in\mathcal{A}:\frac{zf'(z)}{f(z)} \prec \cosh \sqrt{z}=:\varrho(z), z\in\mathbb{D} \right\},$$ associated with an analytic univalent function $\cosh \sqrt{z},$ where we choose the branch of the square root ...
Mridula Mundalia, S. Sivaprasad Kumar
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COSINE FUNCTIONS REVISITED [PDF]
Banach Journal of Mathematical Analysis, 2011 In this short note, a new approach is provided to prove that every nonzero continuous cosine function on a compact group G is the normalized character of a representation of G into the special unitary group SU(2)
Dilian Yang
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Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces [PDF]
Filomat, 2017 The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces.
Marko Kostic +2 more
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A Generation Result for Cosine Functions of Operators
Zeitschrift für Analysis und ihre Anwendungen, 2009 In this work a generation result for strongly continuous cosine functions of operators is established, and the result is applied to study a geometric property of self-accessible states of linear second order abstract control systems.
Hernán R. Henrı́quez +1 more
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