scholarly journals MORPHOGENESIS OF RULEBASES OF FUZZY INFERENCE SYSTEMS IN TERMS OF CONTRADICTOR EXPERT OPINIONS

2019 ◽  
pp. 95-105
Author(s):  
Alexander Aleksandrovich Sorokin
Keyword(s):  
Fuzzy Inference System ◽  
Fuzzy Inference ◽  
Rule Base ◽  
Expert Group ◽  
Fuzzy Inference Systems ◽  
Output Variable ◽  
Inference System ◽  
Expert Opinions ◽  
Inference Systems ◽  
Rule Bases

The article describes a method of morphogenesis of the rulebase of fuzzy conclusion system in the context of counter-expert opinions. One of the difficulties of the morphogenesis of the rule base, which reflects the result of the collective opinion of the expert group, is processing of counter-narrative conclusions, which are expressed as incompatible rules. The methods used to formulate the rule bases of fuzzy inference systems, in the case of counter-predictive opinions of experts, are based on the removal of incompatible rules, depending on the value of their confidence coefficient. Moreover, the methods for identifying the values of confidence coefficients are not described enough, in addition, the removal of the rules leads to the loss of information about the object that the expert group formed. The proposed method of morphogenesis of rule bases in terms of counter-predictive expert opinions based on the results of the interaction of input variables is based on the identification of the confidence coefficient of each of the rules, depending on the number and level of qualification of the experts who proposed it. To evaluate the effectiveness of the proposed method, a numerical experiment was carried out, based on the study of a typical model for assessing the state of an object, which is used in other examples that demonstrate the principles of the fuzzy inference system. To compare the effectiveness, expert information processing methods containing incompatible rules were used. The performance criterion was the model sensitivity indicator. In the framework of the experiment, sensitivity was understood as the number of various values of the output variable depending on the values of the input parameters. As a result of the experiment, it was shown that the fuzzy inference system using the rule base formed using the proposed method has a noticeably wide variety of input values while maintaining the monotonicity of the change in the values of the output variable. The results of the study allow more advanced methods for identifying the state of elements of socio-economic and organizational-technical systems in which there is terminological uncertainty in the description of critical parameters and the incomplete knowledge of experts on a problem area.

RULE CORRELATION AND CHOQUET INTEGRATION IN FUZZY INFERENCE SYSTEMS

2008 ◽  
Vol 16 (05) ◽  
pp. 601-626 ◽  
Author(s):  
R. A. MARQUES PEREIRA ◽  
R. A. RIBEIRO ◽  
P. SERRA
Keyword(s):  
Fuzzy Inference System ◽  
Correlation Matrix ◽  
Fuzzy Inference ◽  
Integration Scheme ◽  
Rule Base ◽  
Inference System ◽  
Aggregation Scheme ◽  
Inference Systems ◽  
Rule Bases ◽  
Takagi Sugeno

We propose an extension of the Takagi-Sugeno-Kang (TSK) fuzzy inference system, using Choquet integration for aggregating the single rule outputs. In the new Choquet-TSK fuzzy inference system, the pairwise synergies between rules are encoded in a rule correlation matrix computed from the activation pattern of the rule base. The rule correlation matrix is then used to modulate the parameters of the Choquet integration scheme in order to compensate for the effect of rule synergies, which are present in most rule bases to a higher or lesser extent.The standard TSK fuzzy inference system remains a particular instance of the proposed Choquet-TSK extension and corresponds to the ideal case of rule independence. However, when rule correlation is present, the Choquet-TSK fuzzy inference system takes it into account when computing the final output of the system. On the basis of the rule correlation matrix, the new aggregation scheme of the Choquet-TSK fuzzy inference system attenuates the effective weight of positively correlated rules and emphasizes that of negatively correlated rules. Some case studies are discussed in order to illustrate the proposed methodology.

Demand forecasting in the beauty industry using fuzzy inference systems

2020 ◽  
Vol 15 (4) ◽  
pp. 1389-1417
Author(s):  
Ricardo Felicio Souza ◽  
Peter Wanke ◽  
Henrique Correa
Keyword(s):  
Time Series ◽  
Fuzzy Inference System ◽  
Fuzzy Inference ◽  
Theory And Practice ◽  
Forecast Errors ◽  
Fuzzy Inference Systems ◽  
Inference System ◽  
Content Type ◽  
Forecasting Methods ◽  
Inference Systems

Purpose This study aims to analyze the performance of four different fuzzy inference system-based forecasting tools using a real case company. Design/methodology/approach The forecasting tools were tested using 27 products of the nail polish line of a multinational beauty company and the performance of said tools was compared to those of the company’s previous forecasting methods that were basically qualitative (informal and intuition-based). Findings The performance of the methods analyzed was compared by using mean absolute percentage error. It was possible to determine the characteristics and conditions that make each model the best for each situation. The main takeaways were that low kurtosis, negatively skewed demand time-series and longer horizon forecasts that favor the fuzzy inference system-based models. Besides, the results suggest that the fuzzy forecasting tools should be preferred for longer horizon forecasts over informal qualitative methods. Originality/value Notwithstanding the proposed hybrid modeling approach based on fuzzy inference systems, our research offers a relevant contribution to theory and practice by shedding light on the segmentation and selection of forecasting models, both in terms of time-series characteristics and forecasting horizon. The proposed fuzzy inference systems showed to be particularly useful not only when time-series distributions present no clear central tendency (that is, they are platykurtic or dispersed around a large plateau around the median, which is the characteristic of negative kurtosis), but also when mode values are greater than median values, which in turn are greater than mean values. This large tail to the left (negative skewness) is typical of successful products whose sales are ramping up in early stages of their life cycle. For these, fuzzy inference systems may help managers screen out forecast bias and, therefore, lower forecast errors. This behavior also occurs when managers deal with forecasts of longer horizons. The results suggest that further research on fuzzy inference systems hybrid approaches for forecasting should emphasize short-term forecasting by trying to better capture the “tribal” managerial knowledge instead of focusing on less dispersed and slower moving products, where the purely qualitative forecasting methods used by managers tend to perform better in terms of their accuracy.

SCALABLE ARCHITECTURE FOR HIGH-SPEED MULTIDIMENSIONAL FUZZY INFERENCE SYSTEMS

2011 ◽  
Vol 20 (03) ◽  
pp. 375-400 ◽  
Author(s):  
INÉS DEL CAMPO ◽  
JAVIER ECHANOBE ◽  
KOLDO BASTERRETXEA ◽  
GUILLERMO BOSQUE
Keyword(s):  
High Speed ◽  
High Performance ◽  
Fuzzy Inference ◽  
Reconfigurable Hardware ◽  
Rule Base ◽  
Fuzzy Inference Systems ◽  
Scalable Architecture ◽  
Inference Model ◽  
Inference System ◽  
Inference Systems

This paper presents a scalable architecture suitable for the implementation of high-speed fuzzy inference systems on reconfigurable hardware. The main features of the proposed architecture, based on the Takagi–Sugeno inference model, are scalability, high performance, and flexibility. A scalable fuzzy inference system (FIS) must be efficient and practical when applied to complex situations, such as multidimensional problems with a large number of membership functions and a large rule base. Several current application areas of fuzzy computation require such enhanced capabilities to deal with real-time problems (e.g., robotics, automotive control, etc.). Scalability and high performance of the proposed solution have been achieved by exploiting the inherent parallelism of the inference model, while flexibility has been obtained by applying hardware/software codesign techniques to reconfigurable hardware. Last generation reconfigurable technologies, particularly field programmable gate arrays (FPGAs), make it possible to implement the whole embedded FIS (e.g., processor core, memory blocks, peripherals, and specific hardware for fuzzy inference) on a single chip with the consequent savings in size, cost, and power consumption. As a prototyping example, we implemented a complex fuzzy controller for a vehicle semi-active suspension system composed of four three-input FIS on a single FPGA of the Xilinx's Virtex 5 device family.

Multilayer Optimization Approach for Fuzzy Systems

2011 ◽  
pp. 1121-1129
Author(s):  
Ivan N. Silva ◽  
Rogerio A. Flauzino
Keyword(s):  
Energy Function ◽  
Fuzzy Inference System ◽  
Mean Squared Error ◽  
Fuzzy Inference ◽  
Fuzzy Inference Systems ◽  
Energy Functions ◽  
Inference System ◽  
Squared Error ◽  
The Mean ◽  
Inference Systems

The design of fuzzy inference systems comes along with several decisions taken by the designers since is necessary to determine, in a coherent way, the number of membership functions for the inputs and outputs, and also the specification of the fuzzy rules set of the system, besides defining the strategies of rules aggregation and defuzzification of output sets. The need to develop systematic procedures to assist the designers has been wide because the trial and error technique is the unique often available (Figueiredo & Gomide, 1997). In general terms, for applications involving system identification and fuzzy modeling, it is convenient to use energy functions that express the error between the desired results and those provided by the fuzzy system. An example is the use of the mean squared error or normalized mean squared error as energy functions. In the context of systems identification, besides the mean squared error, data regularization indicators can be added to the energy function in order to improve the system response in presence of noises (from training data) (Guillaume, 2001). In the absence of a tuning set, such as happens in parameters adjustment of a process controller, the energy function can be defined by functions that consider the desired requirements of a particular design (Wan, Hirasawa, Hu & Murata, 2001), i.e., maximum overshoot signal, setting time, rise time, undamped natural frequency, etc. From this point of view, this article presents a new methodology based on error backpropagation for the adjustment of fuzzy inference systems, which can be then designed as a three layers model. Each one of these layers represents the tasks performed by the fuzzy inference system such as fuzzification, fuzzy rules inference and defuzzification. The adjustment procedure proposed in this article is performed through the adaptation of its free parameters, from each one of these layers, in order to minimize the energy function previously specified. In principle, the adjustment can be made layer by layer separately. The operational differences associated with each layer, where the parameters adjustment of a layer does not influence the performance of other, allow single adjustment of each layer. Thus, the routine of fuzzy inference system tuning acquires a larger flexibility when compared to the training process used in artificial neural networks. This methodology is interesting, not only for the results presented and obtained through computer simulations, but also for its generality concerning to the kind of fuzzy inference system used. Therefore, such methodology is expandable either to the Mandani architecture or also to that suggested by Takagi-Sugeno.

scholarly journals Comparative Study of Mamdani-type and Sugeno-type Fuzzy Inference Systems for Coupled Water Tank

2020 ◽  
Vol 3 (1) ◽  
pp. 42
Author(s):  
Halim Mudia
Keyword(s):  
Fuzzy Inference System ◽  
Chemical Engineering ◽  
Fuzzy Inference ◽  
Engineering System ◽  
Water Tank ◽  
Fuzzy Inference Systems ◽  
Process Industries ◽  
Inference System ◽  
Inference Systems ◽  
Level 2

The level and flow control in tanks are the heart of all chemical engineering system. The control of liquid level in tanks and flow between tanks is a basic problem in the process industries. Many times the liquids will be processed by chemical or mixing treatment in the tanks, but always the level of fluid in the tanks must be controlled and the flow between tanks must be regulated in presence of non-linearity. Threfore, in this paper will use fuzzy inference systems to control of  level 2 are developed using Mamdani-type and Sugeno-type fuzzy models. The outcome obtained by two fuzzy inference systems is evaluated. This paper summarizes the essential variation among the Mamdani-type and Sugeno-type fuzzy inference systems with setpoint of level is 10 centimeter. Matlab fuzzy logic toolbox is used for the simulation of both the models. This also confirms which one is a superior choice of the two fuzzy inference systems to control of level 2 in tank 2. The results show madani-type fuzzy inference system is superior as compared to sugeno-type fuzzy inference system.

scholarly journals The Fuzzy Inference System with Least Square Optimization for Time Series Forecasting

2018 ◽  
Vol 11 (3) ◽  
pp. 1015 ◽  
Author(s):  
Samingun Handoyo ◽  
Marji Marji
Keyword(s):  
Fuzzy Inference System ◽  
Fuzzy Inference ◽  
Least Square ◽  
Training Data ◽  
Lookup Table ◽  
Rule Base ◽  
Inference System ◽  
Rule Bases ◽  
Takagi Sugeno ◽  
Development And Validation

The rule base on the fuzzy inference system (FIS) has a major role since the output generated by the system is highly dependent on it. The rule base is usually obtained from an expert but in this study proposed the rule base generated based on input-output data pairs with generating rule bases using lookup table scheme, then consequent part of each rule optimized with ordinary least square(OLS), so finally formed rule base from model FIS Takagi-Sugeno orde zero. The exchange rate dataset of EURO to USD is used for the development and validation of the system. In this study, 12 FISs were developed from a combination of linguistic values of n = 3,5,7, 9 with the number of lag (k) assumed to have an effect on output for k = 2,3,5. In training data, values R<sup>2</sup> ranged between 0.989 and 0.993, MAPE values ranged between 0.381% and 0.473% where the FIS with the combination of n = 9 and k = 5 has the best performance. In the testing data, values R<sup>2</sup> ranged between 0.203 and 0.7858, MAPE values ranged between 0.5136% and 0.9457% where FIS n = 3 and k = 2 perform best.

scholarly journals Application of a Fuzzy Inference System for Optimization of an Amplifier Design

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2168
Author(s):  
M. Isabel Dieste-Velasco
Keyword(s):  
Monte Carlo ◽  
Fuzzy Inference System ◽  
Fuzzy Inference ◽  
Electronic Circuits ◽  
Fuzzy Inference Systems ◽  
Inference System ◽  
Amplifier Design ◽  
Circuit Components ◽  
Inference Systems ◽  
Response Variables

Simulation programs are widely used in the design of analog electronic circuits to analyze their behavior and to predict the response of a circuit to variations in the circuit components. A fuzzy inference system (FIS) in combination with these simulation tools can be applied to identify both the main and interaction effects of circuit parameters on the response variables, which can help to optimize them. This paper describes an application of fuzzy inference systems to modeling the behavior of analog electronic circuits for further optimization. First, a Monte Carlo analysis, generated from the tolerances of the circuit components, is performed. Once the Monte Carlo results are obtained for each of the response variables, the fuzzy inference systems are generated and then optimized using a particle swarm optimization (PSO) algorithm. These fuzzy inference systems are used to determine the influence of the circuit components on the response variables and to select them to optimize the amplifier design. The methodology proposed in this study can be used as the basis for optimizing the design of similar analog electronic circuits.

scholarly journals A Proposal of an Adaptive Neuro-Fuzzy Inference System for Modeling Experimental Data in Manufacturing Engineering

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1390 ◽  
Author(s):  
C. J. Luis Pérez
Keyword(s):  
Fuzzy Inference System ◽  
Regression Models ◽  
Fuzzy Inference ◽  
Fuzzy Inference Systems ◽  
Inference System ◽  
Neuro Fuzzy ◽  
Regression Techniques ◽  
Inference Systems ◽  
Conventional Regression ◽  
Response Variables

In Manufacturing Engineering there is a need to be able to model the behavior of technological variables versus input parameters in order to predict their behavior in advance, so that it is possible to determine the levels of variation that lead to optimal values of the response variables to be obtained. In recent years, it has been a common practice to rely on regression techniques to carry out the above-mentioned task. However, such models are sometimes not accurate enough to predict the behavior of these response variables, especially when they have significant non-linearities. In this present study a comparative analysis between the precision of different techniques based on conventional regression and soft computing is initially carried out. Specifically, regression techniques, based on the response surface model, as well as the use of artificial neural networks and fuzzy inference systems along with adaptive neuro-fuzzy inference systems will be employed to predict the behavior of the aforementioned technological variables. It will be shown that when there are difficulties in predicting the response parameters by using regression models, soft computing models are highly effective, being much more efficient than conventional regression models. In addition, a new method is proposed in this study that consists of using an iterative process to obtain a fuzzy inference system from a design of experiments and then using an adaptive neuro-fuzzy inference system for tuning the constants of the membership functions. As will be shown, with this method it is possible to obtain improved results in the validation metrics. The means of selecting the membership functions to develop this model from the design of experiments is discussed in this present study in order to obtain an initial solution, which will be then tuned by using an adaptive neuro-fuzzy inference system, to predict the behavior of the response variables. Moreover, the obtained results will also be compared.

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