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Use of triangular membership function for prediction of compressive strength of concrete containing nanosilica

COGENT ENGINEERING 2015年第1期2卷 1-N.PAG页

作者： Gupta, Sakshi Amity Univ ASET Dept Civil Engn Gurgaon Haryana India

In this paper, application of fuzzy logic technique using triangular membership function for developing models for predicting compressive strength of concrete with partial replacement of cement with nanosilica has been carried out. For this, the data have been taken from various literatures and help in optimizing the constituents available and reducing cost and efforts in studying design to develop mixes by predefining suitable range for experimenting. The use of nanostructured materials in concrete can add many benefits that are directly related to the durability of various cementitious materials, besides the fact that it is possible to reduce the quantities of cement in the composite. Successful prediction by the model indicates that fuzzy logic could be a useful modelling tool for engineers and research scientists in the area of cement and concrete. Compressive strength values of concrete can be predicted in fuzzy logic models without attempting any experiments in a quite short period of time with tiny error rates.

关键词： Fuzzy Logic Nanosilica Concrete Compressive strength prediction triangular membership function Modelling

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Prediction of Sunspots using Fuzzy Logic: A triangular membership function-based Fuzzy C-Means Approach

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INTERNATIONAL JOURNAL OF ADVANCED COMPUTER SCIENCE AND APPLICATIONS 2021年第2期12卷 357-362页

作者： Azam, Muhammad Hamza Hasan, Mohd Hilmi Kadir, Said Jadid Abdul Hassan, Saima Univ Teknol Petronas Ctr Res Data Sci Seri Iskandar 32610 Perak Malaysia Kohat Univ Sci & Technol Inst Comp Kohat 26000 Pakistan

Fuzzy logic is an algorithm that works on "degree of truth", instead of the conventional crisp logic where the possible answer can be 1 or 0. Fuzzy logic resembles human thinking as it considers all the possible outcomes between 1 and 0 and it tries to reflect reality. Generation of membership functions is the key factor of fuzzy logic. An approach for generating fuzzy gaussian and triangular membership function using fuzzy c-means is considered in this research. The problem related to sunspot prediction is considered and its accuracy is calculated. It is evident from the results that the proposed technique of generating membership functions using fuzzy c-means can be adopted for predicting sunspots.

关键词： Fuzzy logics fuzzy c-means (FCM) Gaussian membership function prediction sunspots triangular membership function

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A Novel Analog Circuit Design and Test of a triangular membership function

A Novel Analog Circuit Design and Test of a Triangular Membe...

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The 2011 International Conference on Electric and Electronics (EEIC 2011)

作者： Weiwei Shan Yinchao Lu Huafang Sun Junyin Liu National ASIC System and Research Engineering Center Southeast University

In this paper, a novel analog design of a triangular membership function circuit is presented with a compact structure for hardware implementations of fuzzy-neural systems. This circuit is consisted of two simple transconductors and a current mode minimization circuit, which generates a linear triangular curve by getting the minimum part of two properly set transconductors. The characteristics(width, height, slope and position) are easy to adjust. This triangular MFC was realized in 0.6μm CMOS technology and tested with an output signal of a high precision and a high speed of 20 MHz, showing that it is suitable for real-time applications.

关键词： fuzzy logic triangular membership function analog circuit

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Grey wolf optimization-based fuzzy-PID controller for load frequency control in multi-area power systems

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Journal of Automation and Intelligence 2025年

作者： Limon, Md. Faiyaj Ahmed Upoma, Rhydita Shahrin Sinha, Nomita Swarna, Shristi Roy Nath, Bidyut Kanti Khanum, Kulsuma Rahman, Md Jubaer Iqbal, Md. Shahid Department of Electrical & Electronic Engineering Sylhet Engineering College Sylhet 3100 Bangladesh Department of Electrical and Electronic Engineering Leading University Sylhet 3112 Bangladesh Department of Electrical & Electronic Engineering Dhaka University of Engineering & Technology Gazipur 1707 Bangladesh

This study develops a GWO-optimized cascaded fuzzy-PID controller with triangular membership functions for load frequency control in interconnected power systems. The controller's effectiveness is demonstrated on thermal–thermal and hybrid thermal–hydro–gas power systems. The controller parameters were tuned using the Integral Time Absolute Error (ITAE) objective function, which was also evaluated alongside other objective functions (IAE, ISE, and ITSE) to ensure high precision in frequency stabilization. To validate the effectiveness of the triangular membership function, comparisons were made with fuzzy-PID controllers employing trapezoidal and Gaussian membership functions. Performance metrics, including ITAE, settling time, overshoot, and undershoot of frequency deviation, as well as tie-line power deviation, were evaluated. Robustness was established through a comprehensive sensitivity analysis with T_G, T_T, and T_R parameter variations (±50%), a non-linearity analysis incorporating Generation Rate Constraint (GRC) and Governor Deadband (GDB), a random Step Load Perturbation (SLP) over 0–100 s, and also Stability analysis of the proposed scheme is conducted using multiple approaches, including frequency-domain analysis, Lyapunov stability theory, and eigenvalue analysis. Additionally, the system incorporating thermal, hydro, and gas turbines, along with advanced components like CES and HVDC links, was analysed. Comparisons were conducted against controllers optimized using Modified Grasshopper Optimization Algorithm (MGOA), Honey Badger Algorithm (HBA), Particle Swarm Optimization (PSO), Artificial Bee Colony (ABC), and Spider Monkey Optimization (SMO) algorithms. Results demonstrate that the GWO-based fuzzy-PID controller outperforms the alternatives, exhibiting superior performance across all evaluated metrics. This highlights the potential of the proposed approach as a robust solution for load frequency control in complex and d

关键词： Fuzzy-PID controller Grey wolf algorithm ITAE Load frequency triangular membership function

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A new approach to fuzzy regression models with application to business cycle analysis

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FUZZY SETS AND SYSTEMS 2002年第1期130卷 33-42页

作者： Wu, B Tseng, NF Natl Chengchi Univ Dept Math Sci & Stat Taipei 11623 Taiwan Natl Chengchi Univ Dept Stat Taipei 11623 Taiwan

Recently, fuzzy regression analysis has been largely applied in the modeling of economic or financial data. However, those data often exhibit certain kinds of linguistic terms, for instance: very good, a little reclining or stable, in the business cycle or the growth rate of GDP, etc. The goal of this paper is to construct a fuzzy regression model by fuzzy parameters estimation using the fuzzy samples. It deals with imprecise measurement of observed variables, fuzzy least square estimation and nonparametric methods. This is different from the assumptions as well as the estimation techniques of the classical analysis. Empirical results demonstrate that our new approach is efficient and more realistic than the traditional regression analysis. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： fuzzy regression fuzzy parameter triangular membership function h-cut methods of least square

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A two-stage design of adaptive fuzzy controllers for time-delay systems with unknown models

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2007年第5期38卷 433-449页

作者： Taur, J. S. Lee, G. H. Tao, C. W. Natl Chung Hsing Univ Dept Elect Engn Taichung 402 Taiwan

In this article, a systematic two-stage design method for adaptive fuzzy controllers is presented. The proposed control scheme has low computational complexity. Moreover, the exact mathematical model of the plant to be controlled is not required. The fuzzy controller under consideration is based on the proportional-derivative fuzzy control scheme and triangular membership functions. In the design procedure, the domain intervals of the input and output variables are selected with a heuristic approach to minimize a cost function under the constraint of tolerable overshoots in the response curve. A learning scheme is then proposed to automatically adjust the parameters in the fuzzy controller to reduce the error of the system. It can also be used adaptively to improve the system performance of a time-varying system. Simulations and comparisons are included to demonstrate the effectiveness of the proposed method.

关键词： fuzzy controller if-then rule triangular membership function

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Smart grid reliability evaluation and assessment

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KYBERNETES 2023年第9期52卷 3261-3291页

作者： Mashal, Ibrahim Aqaba Univ Technol Dept Software Engn Aqaba Jordan

Purpose Smart grid is an integration between traditional electricity grid and communication systems and networks. Providing reliable services and functions is a critical challenge for the success and diffusion of smart grids that needs to be addressed. The purpose of this study is to determine the critical criteria that affect smart grid reliability from the perspective of users and investigate the role big data plays in smart grid reliability. Design/methodology/approach This study presents a model to investigate and identify criteria that influence smart grid reliability from the perspective of users. The model consists of 12 sub-criteria covering big data management, communication system and system characteristics aspects. Multi-criteria decision-making approach is applied to analyze data and prioritize the criteria using the fuzzy analytic hierarchy process based on the triangular fuzzy numbers. Data was collected from 16 experts in the fields of smart grid and Internet of things. Findings The results show that the "Big Data Management" criterion has a significant impact on smart grid reliability followed by the "System Characteristics" criterion. The "Data Analytics" and the "Data Visualization" were ranked as the most influential sub-criteria on smart grid reliability. Moreover, sensitivity analysis has been applied to investigate the stability and robustness of results. The findings of this paper provide useful implications for academicians, engineers, policymakers and many other smart grid stakeholders. Originality/value The users are not expected to actively participate in smart grid and its services without understanding their perceptions on smart grid reliability. Very few works have studied smart grid reliability from the perspective of users. This study attempts to fill this considerable gap in literature by proposing a fuzzy model to prioritize smart grid reliability criteria.

关键词： Smart grid reliability Fuzzy analytic hierarchy process Multi-criteria decision-making Big data management Sensitivity analysis triangular membership function

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The modified fuzzy mortality model based on the algebra of ordered fuzzy numbers

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BIOMETRICAL JOURNAL 2021年第3期63卷 671-689页

作者： Szymanski, Andrzej Rossa, Agnieszka Univ Lodz Inst Stat & Demog St Rewolucji 190541 PL-90214 Lodz Poland

The new trends in fuzzy analysis are based on the algebraic approach to fuzzy numbers. The essential idea in such an approach is representing the membership function of a fuzzy number as an element of any square-integrable function space. As a starting point, we consider the Koissi-Shapiro model known as a fuzzy version of the Lee-Carter mortality model, in which triangular membership functions of fuzzy variables are assumed. In our approach, the algebra of ordered fuzzy numbers is used to reformulate the fuzzy Lee-Carter mortality model and to improve the prediction accuracy.

关键词： algebraic approach fuzzy numbers mortality modeling triangular membership function

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Eigenfrequency and deflection analysis of layered structure using uncertain elastic properties - a fuzzy finite element approach

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INTERNATIONAL JOURNAL OF APPROXIMATE REASONING 2018年 98卷 163-176页

作者： Patle, B. K. Hirwani, Chetan K. Singh, Ravi P. Panda, Subrata K. CVR Coll Engn Dept Mech Engn Hyderabad India Natl Inst Technol Dept Mech Engn Rourkela 769008 Odisha India

This is the first-time a higher-order fuzzy finite element model has been proposed and implemented to compute the laminated structural responses (modal frequency and static deflection) numerically including the uncertain elastic properties. The composite structure is modelled via a higher-order mid-plane theory which accounts the parabolic variation of the shear stress in conjunction with the fuzzified properties. The fuzzy arithmetic steps are implemented for the composite property evaluation via the triangular membership functions (alpha-cut method) and solved numerically via finite element techniques. The variational technique and the classical Hamilton's principle are utilized to derive the necessary structural governing equation of the laminated structure including the fuzzified properties. Subsequently, the frequency and the static deflection values are obtained computationally via an efficient home-made computer code (MATLAB environment) with the help of current higher-order finite element model. Further, different kinds of numerical examples are solved using the current higher-order fuzzified model to demonstrate the convergence and comparison behaviour. The differences between the available deterministic (3D-FEM and exact solution) and the uncertain (fuzzified) structural responses indicate the necessity of the current model including the accuracy level. Lastly, the influence of the individual and the combined effect of the material (fuzzified elastic property) and the geometrical parameters on the final structural responses are computed and inferred in details. (C) 2018 Elsevier Inc. All rights reserved.

关键词： Uncertain material property FFEM HSDT triangular membership function Frequency response Static deflection

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A novel hybrid method for better evaluation: Evaluating university instructors teaching performance by combining conventional content analysis with fuzzy rule based systems

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EXPERT SYSTEMS WITH APPLICATIONS 2011年第10期38卷 12565-12568页

作者： Basaran, Murat Alper Kalayci, Nurdan Atay, Mehmet Tarik Nigde Univ Fac Sci & Letters Dept Math TR-51240 Nigde Turkey Gazi Univ Gazi Fac Educ Dept Educ Sci TR-06500 Ankara Turkey

Even though engineering and applied sciences deal with numerical data, they have successfully implemented fuzzy logic by using fuzzy rule based (FRB) systems by verbalizing data. On the other hand, social sciences such as sociology, education and physiology transform verbal type data into numerical values by using Likert type scale. Despite the fact that fuzzy set theory deals with verbal data very powerfully, social science fields in general have avoided to implement it to their verbal data up until now. One of the most active research areas in education field which generates verbal data is student evaluation of teaching (SET) questionnaires which are related to Total Quality Management applications in most of the competitive universities in the world. In this paper, we propose a novel hybrid method, which combines conventional content analysis (CCA) method and FRB systems and this new hybrid method is more suitable for the verbal data obtained from SET questionnaires. This novel CCA-FRB (conventional content analysis based fuzzy rule based systems) method uses a sample of 138 junior students from Gazi University in Turkey to implement the proposed method. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Fuzzy logic Fuzzy set triangular membership function Student evaluation of teaching Conventional content analysis TQM

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