Cosine Function

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Qiang Cheng - One of the best experts on this subject based on the ideXlab platform.

  • leaky wave radiations by modulating surface impedance on subwavelength corrugated metal structures
    Scientific Reports, 2016
    Co-Authors: Yun Bo Li, Hui Feng, Wei Xiang Jiang, Qiang Cheng
    Abstract:

    One-dimensional (1D) subwavelength corrugated metal structures has been described to support spoof surface plasmon polaritons (SPPs). Here we demonstrate that a periodically modulated 1D subwavelength corrugated metal structure can convert spoof SPPs to propagating waves. The structure is fed at the center through a slit with a connected waveguide on the input side. The subwavelength corrugated metal structure on the output surface is regarded as metasurface and modulated periodically to realize the leaky-wave radiation at the broadside. The surface impedance of the corrugated metal structure is modulated by using Cosine Function and triangle-wave Function, respectively, to reach the radiation effect. Full wave simulations and measuremental results are presented to validate the proposed design.

  • leaky wave radiations by modulating surface impedance on subwavelength corrugated metal structures
    arXiv: Optics, 2016
    Co-Authors: Ben Geng Cai, Hui Feng, Wei Xiang Jiang, Qiang Cheng, Tie Jun Cui
    Abstract:

    One-dimensional (1D) subwavelength corrugated metal structures has been described to support spoof surface plasmon polaritons (SPPs). Here we demonstrate that a modulated 1D subwavelength corrugated metal structure can convert spoof SPPs to propagating waves. The structure is fed at the center through a slit with a connected waveguide on the input side. The subwavelength corrugated metal structure on the output surface is regarded as metasurface and modulated periodically to realize the leaky-wave radiation at the broadside. The surface impedance of the corrugated metal structure is modulated by using Cosine Function and triangle-wave Function, respectively, to reach the radiation effect. Full wave simulations and measuremental results are presented to validate the proposed design.

Yun Bo Li - One of the best experts on this subject based on the ideXlab platform.

  • leaky wave radiations by modulating surface impedance on subwavelength corrugated metal structures
    Scientific Reports, 2016
    Co-Authors: Yun Bo Li, Hui Feng, Wei Xiang Jiang, Qiang Cheng
    Abstract:

    One-dimensional (1D) subwavelength corrugated metal structures has been described to support spoof surface plasmon polaritons (SPPs). Here we demonstrate that a periodically modulated 1D subwavelength corrugated metal structure can convert spoof SPPs to propagating waves. The structure is fed at the center through a slit with a connected waveguide on the input side. The subwavelength corrugated metal structure on the output surface is regarded as metasurface and modulated periodically to realize the leaky-wave radiation at the broadside. The surface impedance of the corrugated metal structure is modulated by using Cosine Function and triangle-wave Function, respectively, to reach the radiation effect. Full wave simulations and measuremental results are presented to validate the proposed design.

Cun Wei - One of the best experts on this subject based on the ideXlab platform.

Jun Ye - One of the best experts on this subject based on the ideXlab platform.

  • similarity measures of intuitionistic fuzzy sets based on Cosine Function for the decision making of mechanical design schemes
    Journal of Intelligent and Fuzzy Systems, 2015
    Co-Authors: Jun Ye
    Abstract:

    Based on Cosine Function and the information carried by the membership degrees, nonmembership degree and hesitancy degree in intuitionistic fuzzy sets (IFSs), this paper proposes two new Cosine similarity measures and weighted Cosine similarity measures between IFSs. Then, we give the comparative analysis of various trigonometric similarity measures by several numerical examples to illustrate the effectiveness of the developed Cosine similarity measures of IFSs. Furthermore, we develop a decision- making method using the weighted Cosine similarity measures for choosing mechanical design schemes (alternatives). Finally, a decision-making example on choosing mechanical design schemes is given to demonstrate the applications and efficiency of the proposed decision-making method.

  • improved Cosine similarity measures of simplified neutrosophic sets for medical diagnoses
    2015
    Co-Authors: Jun Ye
    Abstract:

    Simplified neutrosophic set Single valued neutrosophic set Interval neutrosophic set Cosine similarity measure Medical diagnosis a b s t r a c t Objective: In pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing Cosine similarity measures of simplified neutrosophic sets (SNSs) in vector space, this paper proposed improved Cosine similarity measures of SNSs based on Cosine Function, including single valued neutrosophic Cosine similarity measures and interval neutrosophic Cosine similarity measures. Then, weighted Cosine similarity measures of SNSs were introduced by taking into account the importance of each element. Further, a medical diagnosis method using the improved Cosine similarity measures was proposed to solve medical diagnosis problems with simplified neutrosophic information. Materials and methods: The improved Cosine similarity measures between SNSs were introduced based on Cosine Function. Then, we compared the improved Cosine similarity measures of SNSs with existing Cosine similarity measures of SNSs by numerical examples to demonstrate their effectiveness and rationality for overcoming some shortcomings of existing Cosine similarity measures of SNSs in some cases. In the medical diagnosis method, we can find a proper diagnosis by the Cosine similarity measures between the symptoms and considered diseases which are represented by SNSs. Then, the medical diagnosis method based on the improved Cosine similarity measures was applied to two medical diagnosis problems to show the applications and effectiveness of the proposed method. Results: Two numerical examples all demonstrated that the improved Cosine similarity measures of SNSs based on the Cosine Function can overcome the shortcomings of the existing Cosine similarity measures between two vectors in some cases. By two medical diagnoses problems, the medical diagnoses using various similarity measures of SNSs indicated the identical diagnosis results and demonstrated the effectiveness and rationality of the diagnosis method proposed in this paper. Conclusions: The improved Cosine measures of SNSs based on Cosine Function can overcome some drawbacks of existing Cosine similarity measures of SNSs in vector space, and then their diagnosis method is very suitable for handling the medical diagnosis problems with simplified neutrosophic information and demonstrates the effectiveness and rationality of medical diagnoses.

  • misfire fault diagnosis method of gasoline engines using the Cosine similarity measure of neutrosophic numbers
    viXra, 2015
    Co-Authors: Lingwei Kong, Jun Ye, Yuefeng Wu
    Abstract:

    This paper proposes a distance measure of neutrosophic numbers and a similarity measure based on Cosine Function, and then develops the misfire fault diagnosis method of gasoline engines by using the Cosine similarity measure of neutrosophic numbers. In the fault diagnosis, by the Cosine similarity measure between the fault knowledge (fault patterns) and required diagnosis- testing sample with neutrosophic number information and its relation indices, the proposed fault diagnosis method can indicate the main fault type and fault trends. Then, the misfire fault diagnosis results of gasoline engines demonstrate the effectiveness and rationality of the proposed fault diagnosis method. The proposed misfire fault diagnosis method not only gives the main fault types of the engine, but also provides useful information for future fault trends. The proposed method is effective and reasonable in the misfire fault diagnosis of gasoline engines.

  • improved Cosine similarity measures of simplified neutrosophic sets for medical diagnoses
    Artificial Intelligence in Medicine, 2015
    Co-Authors: Jun Ye
    Abstract:

    We proposed improved Cosine similarity measures of simplified neutrosophic sets (SNSs) based on Cosine Function, including single valued neutrosophic Cosine similarity measures and interval neutrosophic Cosine similarity measures, to overcome some disadvantages of existing Cosine similarity measures of SNSs.We presented a medical diagnosis method based on the improved Cosine similarity measures to solve medical diagnosis problems with simplified neutrosophic information.Two medical diagnosis problems were given to show the effectiveness and rationality of the diagnosis method using the improved Cosine similarity measures. ObjectiveIn pattern recognition and medical diagnosis, similarity measure is an important mathematical tool. To overcome some disadvantages of existing Cosine similarity measures of simplified neutrosophic sets (SNSs) in vector space, this paper proposed improved Cosine similarity measures of SNSs based on Cosine Function, including single valued neutrosophic Cosine similarity measures and interval neutrosophic Cosine similarity measures. Then, weighted Cosine similarity measures of SNSs were introduced by taking into account the importance of each element. Further, a medical diagnosis method using the improved Cosine similarity measures was proposed to solve medical diagnosis problems with simplified neutrosophic information. Materials and methodsThe improved Cosine similarity measures between SNSs were introduced based on Cosine Function. Then, we compared the improved Cosine similarity measures of SNSs with existing Cosine similarity measures of SNSs by numerical examples to demonstrate their effectiveness and rationality for overcoming some shortcomings of existing Cosine similarity measures of SNSs in some cases. In the medical diagnosis method, we can find a proper diagnosis by the Cosine similarity measures between the symptoms and considered diseases which are represented by SNSs. Then, the medical diagnosis method based on the improved Cosine similarity measures was applied to two medical diagnosis problems to show the applications and effectiveness of the proposed method. ResultsTwo numerical examples all demonstrated that the improved Cosine similarity measures of SNSs based on the Cosine Function can overcome the shortcomings of the existing Cosine similarity measures between two vectors in some cases. By two medical diagnoses problems, the medical diagnoses using various similarity measures of SNSs indicated the identical diagnosis results and demonstrated the effectiveness and rationality of the diagnosis method proposed in this paper. ConclusionsThe improved Cosine measures of SNSs based on Cosine Function can overcome some drawbacks of existing Cosine similarity measures of SNSs in vector space, and then their diagnosis method is very suitable for handling the medical diagnosis problems with simplified neutrosophic information and demonstrates the effectiveness and rationality of medical diagnoses.

Hui Feng - One of the best experts on this subject based on the ideXlab platform.

  • leaky wave radiations by modulating surface impedance on subwavelength corrugated metal structures
    Scientific Reports, 2016
    Co-Authors: Yun Bo Li, Hui Feng, Wei Xiang Jiang, Qiang Cheng
    Abstract:

    One-dimensional (1D) subwavelength corrugated metal structures has been described to support spoof surface plasmon polaritons (SPPs). Here we demonstrate that a periodically modulated 1D subwavelength corrugated metal structure can convert spoof SPPs to propagating waves. The structure is fed at the center through a slit with a connected waveguide on the input side. The subwavelength corrugated metal structure on the output surface is regarded as metasurface and modulated periodically to realize the leaky-wave radiation at the broadside. The surface impedance of the corrugated metal structure is modulated by using Cosine Function and triangle-wave Function, respectively, to reach the radiation effect. Full wave simulations and measuremental results are presented to validate the proposed design.

  • leaky wave radiations by modulating surface impedance on subwavelength corrugated metal structures
    arXiv: Optics, 2016
    Co-Authors: Ben Geng Cai, Hui Feng, Wei Xiang Jiang, Qiang Cheng, Tie Jun Cui
    Abstract:

    One-dimensional (1D) subwavelength corrugated metal structures has been described to support spoof surface plasmon polaritons (SPPs). Here we demonstrate that a modulated 1D subwavelength corrugated metal structure can convert spoof SPPs to propagating waves. The structure is fed at the center through a slit with a connected waveguide on the input side. The subwavelength corrugated metal structure on the output surface is regarded as metasurface and modulated periodically to realize the leaky-wave radiation at the broadside. The surface impedance of the corrugated metal structure is modulated by using Cosine Function and triangle-wave Function, respectively, to reach the radiation effect. Full wave simulations and measuremental results are presented to validate the proposed design.