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Relevant bibliographies by topics / Trapezoidal function

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Academic literature on the topic 'Trapezoidal function'

Author: Grafiati

Published: 3 June 2025

Last updated: 20 July 2025

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Journal articles on the topic "Trapezoidal function"

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Han, Zhenwei, Kefei Song, and Yang Liu. "Research on Pulse Shaper Based on Trapezoidal Function." Frontiers in Computing and Intelligent Systems 3, no. 1 (2023): 182–84. http://dx.doi.org/10.54097/fcis.v3i1.6366.

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In order to improve the time resolution and spatial resolution of photon-counting imaging system, the pulse shaper based on trapezoidal function is studied. The signal with an exponential decay shape from charge sensitive amplifier is converted to digital discrete signal by ADC and then the discrete number sequence is filtered and shaped by digital signal processing technology. The amplitude linearity and time width of the trapezoidal shaper are simulated and verified using software-generated single exponential signals and double exponential signals. While the continuous pulses are applied to

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Ye, Jufeng. "Aggregation Operators of Trapezoidal Intuitionistic Fuzzy Sets to Multicriteria Decision Making." International Journal of Intelligent Information Technologies 13, no. 4 (2017): 1–22. http://dx.doi.org/10.4018/ijiit.2017100101.

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This paper presents the trapezoidal intuitionistic fuzzy weighted averaging (TIFWA) operator, trapezoidal intuitionistic fuzzy ordered weighted averaging (TIFOWA) operator, trapezoidal intuitionistic fuzzy weighted geometric (TIFWG) operator, and trapezoidal intuitionistic fuzzy ordered weighted geometric (TIFOWG) operator to aggregate the trapezoidal intuitionistic fuzzy information and investigates their properties. Furthermore, a multicriteria decision making method based on the TIFOWA and TIFOWG operators and the score function and accuracy function of a trapezoidal intuitionistic fuzzy nu

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Khairuddin, Siti Hajar, Mohd Hilmi Hasan, Manzoor Ahmed Hashmani, and Muhammad Hamza Azam. "Generating Clustering-Based Interval Fuzzy Type-2 Triangular and Trapezoidal Membership Functions: A Structured Literature Review." Symmetry 13, no. 2 (2021): 239. http://dx.doi.org/10.3390/sym13020239.

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Clustering is more popular than the expert knowledge approach in Interval Fuzzy Type-2 membership function construction because it can construct membership function automatically with less time consumption. Most research proposed a two-fuzzifier fuzzy C-Means clustering method to construct Interval Fuzzy Type-2 membership function which mainly focused on producing Gaussian membership function. The other two important membership functions, triangular and trapezoidal, are constructed using the grid partitioning method. However, the method suffers a drawback of not being able to represent actual

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Bes Hendi Rio Pardede, Bunga Diviya Kusfa, and Lauren Teresia Tamba. "Penerapan Metode Trapesium , Metode Simpson 1/3, dan Metode Simpson 3/8 Dalam Integrasi Numerik Menggunakan Software Matlab." Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam 2, no. 4 (2024): 24–31. http://dx.doi.org/10.62383/pentagon.v2i4.268.

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Numerical integration is a method used to calculate the integral of functions that cannot be integrated analytically. Several methods that are often used in numerical integration include that Simpson 1/3 method, Simpson 3/8 method, and the Trapezoidal method. This research aims to apply and compare the accuracy and efficiency of the third method in solving various types of integral functions using computing software. With the help of software such as MATLAB and Python, the precision of the results obtained from each method is analyzed and compared with analytical solutions (if available) or ap

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Natalia, Hrudkina, Aliieva Leila, Abhari Payman, Kuznetsov Mykola, and Shevtsov Serhii. "DERIVATION OF ENGINEERING FORMULAS IN ORDER TO CALCULATE ENERGY-POWER PARAMETERS AND A SHAPE CHANGE IN A SEMI-FINISHED PRODUCT IN THE PROCESS OF COMBINED EXTRUSION." Eastern-European Journal of Enterprise Technologies 2, no. 7 (98) (2019): 49–57. https://doi.org/10.15587/1729-4061.2019.160585.

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The possibilities of using and embedding kinematic trapezoid modules with curvilinear boundaries of different shapes were explored. Based on the energy method, the generalized formulas for calculating the power of deformation forces inside the axial trapezoidal kinematic module were derived. Different types of selecting the functions that describe a curvilinear boundary of the axial trapezoidal module were identified. We have analyzed the possibilities of using known techniques for the linearization of integrand dependences in order to calculate the power of deformation forces when it is impos

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Stanojevic, Bogdana, and Milan Stanojevic. "Penalty method for fuzzy linear programming with trapezoidal numbers." Yugoslav Journal of Operations Research 19, no. 1 (2009): 149–56. http://dx.doi.org/10.2298/yjor0901149s.

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In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints.

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Syafiqoh, Ummi, Anton Yudhana, and Sunardi Sunardi. "Comparative analysis of Fuzzy Tsukamoto's membership functions for determining irrigated rice field feasibility status." ILKOM Jurnal Ilmiah 14, no. 3 (2022): 255–63. http://dx.doi.org/10.33096/ilkom.v14i3.1156.255-263.

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The representation of the fuzzy set membership curve consisting of trapezoidal, triangular, and linear shapes, has an important role in the fuzzy logic system. The selection of the curve's shapes determines the useable membership function and affects the fuzzy output value. Previous studies generally used curves that had been employed in predecessors or other studies that did not explain the reason for choosing a fuzzy member curve. This condition became problem because there was not a guide in selecting the appropriate membership function model for the parameters used in the fuzzy process so

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Mitsuishi, Takashi. "Some Properties of Membership Functions Composed of Triangle Functions and Piecewise Linear Functions." Formalized Mathematics 29, no. 2 (2021): 103–15. http://dx.doi.org/10.2478/forma-2021-0011.

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Summary. IF-THEN rules in fuzzy inference is composed of multiple fuzzy sets (membership functions). IF-THEN rules can therefore be considered as a pair of membership functions [7]. The evaluation function of fuzzy control is composite function with fuzzy approximate reasoning and is functional on the set of membership functions. We obtained continuity of the evaluation function and compactness of the set of membership functions [12]. Therefore, we proved the existence of pair of membership functions, which maximizes (minimizes) evaluation function and is considered IF-THEN rules, in the set o

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Mitsuishi, Takashi. "Isosceles Triangular and Isosceles Trapezoidal Membership Functions Using Centroid Method." Formalized Mathematics 31, no. 1 (2023): 59–66. http://dx.doi.org/10.2478/forma-2023-0006.

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Summary Since isosceles triangular and trapezoidal membership functions [4] are easy to manage, they were applied to various fuzzy approximate reasoning [10], [13], [14]. The centroids of isosceles triangular and trapezoidal membership functions are mentioned in this article [16], [9] and formalized in [11] and [12]. Some propositions of the composition mapping (f + · g, or f +* g using Mizar formalism, where f, g are a ne mappings), are proved following [3], [15]. Then different notations for the same isosceles triangular and trapezoidal membership function are formalized. We proved the agree

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Bilgili, Erdem, İzzet Cem Göknar, and Osman Nuri Ucan. "Cellular neural network with trapezoidal activation function." International Journal of Circuit Theory and Applications 33, no. 5 (2005): 393–417. http://dx.doi.org/10.1002/cta.328.

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Dissertations / Theses on the topic "Trapezoidal function"

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Müller, Jochen [Verfasser]. "Two glial cell types make structural and functional contact to the calyx of Held in the mouse medial nucleus of the trapezoid body / Jochen Müller." Berlin : Medizinische Fakultät Charité - Universitätsmedizin Berlin, 2008. http://d-nb.info/1027306357/34.

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Peng, Wen-Hon, and 彭文宏. "Fuzzy System Synthesis Based on Trapezoid-Shaped Membership functions." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/89102917415912446068.

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碩士<br>中原大學<br>電子工程研究所<br>90<br>In the past few years, there have been an increasing number of systems based on fuzzy logic in various fields of applications, such as ATM network control, GPS data processing, aircraft flight control, image processing, and so on. In a fuzzy system, the fuzzy rules are characterized by membership functions. Therefore, when designing a fuzzy system, the membership functions play a very important role because they are the “brain” in the fuzzy inference process. In order to better control the fuzzy system, we need to have an effective design methodology to synthesiz

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Book chapters on the topic "Trapezoidal function"

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Bilgili, E., I. C. Göknar, O. N. Uçan, and M. Albora. "Stability of CNN with Trapezoidal Activation Function." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-30636-6_25.

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Bilgili, E., I. C. Göknar, and O. N. Uçan. "Applications of CNN with Trapezoidal Activation Function." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-30636-6_26.

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Vicente, E., A. Mateos, and A. Jiménez. "A New Similarity Function for Generalized Trapezoidal Fuzzy Numbers." In Artificial Intelligence and Soft Computing. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38658-9_36.

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Dileep, M. R., and Ajit Danti. "The Quantification of Human Facial Expression Using Trapezoidal Fuzzy Membership Function." In Communications in Computer and Information Science. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9184-2_34.

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Cerone, Pietro, Sever S. Dragomir, and Eder Kikianty. "Multiplicative Ostrowski and Trapezoid Inequalities." In Handbook of Functional Equations. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1246-9_4.

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Nathanson, Melvyn B. "Trapezoidal Numbers, Divisor Functions, and a Partition Theorem of Sylvester." In Analytic Number Theory, Modular Forms and q-Hypergeometric Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68376-8_31.

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Ben Abdallah, Skander, and Issam Kouatli. "Fuzzy Volatility of Project Option Value Based on Trapezoidal Membership Functions." In Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23756-1_153.

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Botzheim, J., B. Hámori, and L. T. Kóczy. "Extracting Trapezoidal Membership Functions of a Fuzzy Rule System by Bacterial Algorithm." In Computational Intelligence. Theory and Applications. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45493-4_25.

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Costantini, Giulia, Pietro Ferrara, and Agostino Cortesi. "Linear Approximation of Continuous Systems with Trapezoid Step Functions." In Programming Languages and Systems. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-35182-2_8.

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Kreinovich, Vladik, Olga Kosheleva, and Shahnaz N. Shahbazova. "Why Triangular and Trapezoid Membership Functions: A Simple Explanation." In Recent Developments in Fuzzy Logic and Fuzzy Sets. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38893-5_2.

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Conference papers on the topic "Trapezoidal function"

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Taher, Ahmed N., and Soliman A. Mahmoud. "Fully Programmable CMOS traingular and trapezoidal function generators." In 2008 International Conference on Microelectronics - ICM. IEEE, 2008. http://dx.doi.org/10.1109/icm.2008.5393772.

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Loan, Sajad A., and Asim M. Murshid. "A novel fuzzy inference processor using trapezoidal-shaped membership function." In 2011 IEEE Conference on Open Systems (ICOS). IEEE, 2011. http://dx.doi.org/10.1109/icos.2011.6079229.

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VICENTE, E., A. MATEOS, and A. JIMÉNEZ-MARTÍN. "SEARCHING FOR A CONSENSUS SIMILARITY FUNCTION FOR GENERALIZED TRAPEZOIDAL FUZZY NUMBERS." In The 11th International FLINS Conference (FLINS 2014). WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814619998_0043.

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Bensraj, R., S. P. Natarajan, and B. Shanthi. "Bipolar trapezoidal amalagated rectangular reference function for improved performance PWM multilevel inverter." In 2012 International Conference on Computing, Electronics and Electrical Technologies (ICCEET). IEEE, 2012. http://dx.doi.org/10.1109/icceet.2012.6203908.

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Boopathi Kumar, E., and M. Sundaresan. "Edge detection using trapezoidal membership function based on fuzzy's mamdani inference system." In 2014 International Conference on Computing for Sustainable Global Development (INDIACom). IEEE, 2014. http://dx.doi.org/10.1109/indiacom.2014.6828012.

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Chen, Shan-Huo, and Chien-Chung Wang. "Reasonings of fuzzy arithmetical operations with Second Function Principle under generalized trapezoidal fuzzy numbers." In 2011 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2011. http://dx.doi.org/10.1109/icmlc.2011.6016699.

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Li, Shanqing. "R-function theory method for bending problem of slip clamped trapezoidal shallow spherical shell." In 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/iceep-17.2017.4.

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Kaur, Gurpreet, and Gurmeet Kaur. "Fuzzy-Neuro Network in a CO-OFDM system: Various Membership Functions Comparison." In International Conference on Women Researchers in Electronics and Computing. AIJR Publisher, 2021. http://dx.doi.org/10.21467/proceedings.114.46.

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Fuzzy-Neuro Network based nonlinear equalizer (FNN-NLE) has been used for the extenuation of nonlinearities in optical communication systems. Until now, many membership functions with resilient backpropagation activation function was used for making FNN-NLE in a coherent optical orthogonal frequency division multiplexing (CO-OFDM) systems. Despite this, no research is reflecting the comparison of different membership functions (MFs). In this paper, various membership functions such as gaussian MF, gaussian combination MF, triangular MF, difference between two sigmoidal functions MF, pi shaped

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Minqing Liu, Tiejun Yu, and W. W. M. Dai. "Efficient analysis of on-chip spiral inductor with high-order and trapezoidal rooftop basis function." In IEEE Antennas and Propagation Society Symposium, 2004. IEEE, 2004. http://dx.doi.org/10.1109/aps.2004.1331951.

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Budiana, Eko Prasetya, Pranowo, Indarto, and Deendarlianto. "Meshless radial basis function simulation of natural convection in a trapezoidal cavity heated from below." In ADVANCED MATERIALS: Proceedings of the International Workshop on Advanced Materials (IWAM-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5050012.

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