Methodology of Developing Mathematical Models with Fuzzy Logic Elements for Quality Indices Control

2013 ◽  
Vol 436 ◽  
pp. 374-381 ◽  
Author(s):  
Alexey Korchunov ◽  
Mikhail Chukin ◽  
Aleksandr Lysenin
Keyword(s):  
Fuzzy Logic ◽  
Mathematical Models ◽  
Preference Relation ◽  
Fuzzy Relation ◽  
Quality Indices ◽  
New Models ◽  
Acting Process ◽  
Metal Products ◽  
Process Operations ◽  
Fuzzy Logic Theory

Advantages of applying fuzzy logic theory to metal products quality indices control in development of new models and in improvement of acting process operations are shown. It is proved that it is appropriate to determine fuzzy relation as preference relation in process of handling products quality indices in process operations. Elaboration of algorithm of handling mathematical models with fuzzy logic elements to control quality indices is undertaken. Methodology of mathematical models development with fuzzy logic elements for metal products quality indices control is created. Process of metal products quality indices control on the basis of models with fuzzy logic elements is illustrated.

Methodology of Developing Mathematical Models for Quality Indices Control

2014 ◽  
Vol 598 ◽  
pp. 643-646 ◽  
Author(s):  
Marina Polyakova ◽  
Alexey Korchunov
Keyword(s):  
Mathematical Models ◽  
Production Quality ◽  
Control Parameters ◽  
Quality Indices ◽  
Hierarchical Tree ◽  
Input And Output ◽  
Structure Of Metal ◽  
Different Types ◽  
Metal Products ◽  
Hardware Industry

It is proposed to set the structure of metal products quality as a hierarchical tree of properties. Input and output variables and also control parameters of technological processes are represented as universal multitudes in formalization of the process of production quality indices handling in hardware industry technologies. Presence of simultaneously diversified information initiating different types of independence, is characteristic of solving problems of metal products quality indices control.

scholarly journals ANALISIS RULE INFERENSI FUZZY MAMDANI DALAM MENENTUKAN IPK AKHIR

2017 ◽  
Vol 1 (1) ◽  
pp. 22
Author(s):  
Khairul Saleh
Keyword(s):  
Decision Making ◽  
Fuzzy Logic ◽  
Mathematical Models ◽  
Dynamic Systems ◽  
Fuzzy Systems ◽  
Chaotic Dynamics ◽  
Complex Dynamic ◽  
Grade Point ◽  
Complex Dynamic Systems ◽  
Decision Making System

Abstract - In the world of education to achieve the level of success, of course, they have a benchmark for the success of students, one of them is the Grade Point Average (GPA). The purpose of this study is to determine the final GPA so that later it can be used as a reference to predict the success rate of students. The issue of decision-making systems using Fuzzy systems is very suitable for definite reasoning or estimation, especially for systems with strict mathematical models that are difficult to get a definite decision. Fuzzy logic can be used to describe a system of chaotic dynamics, and fuzzy logic can be useful for complex dynamic systems where solutions to common mathematical models cannot work well. The Mamdani method computes efficiently and works well with optimization and adaptive techniques, which makes it very good in control problems, especially for dynamic non-linear systems. Keywords - Cumulative Achievement Index (GPA), fuzzy system, decision making system, mamdani information

scholarly journals Discharge estimation for trapezoidal open channels using fuzzy transformation method to a flow equation

2021 ◽  
Author(s):  
N. Samarinas ◽  
C. Evangelides
Keyword(s):  
Fuzzy Logic ◽  
Water Discharge ◽  
Transformation Method ◽  
Great Accuracy ◽  
Flow Equation ◽  
Open Channels ◽  
Roughness Coefficient ◽  
Fuzzy Transformation ◽  
Management Plans ◽  
Fuzzy Logic Theory

Abstract The aim of this paper is to implement the fuzzy logic theory in order to estimate the discharge for open channels, which is a well-known physical problem affected by many factors. The problem can be solved by Manning equation but the parameters present uncertainties as to their true-real values. Especially, the Manning n roughness coefficient, which is an empirically derived coefficient, presents quite high variation for different substrates. With the help of fuzzy logic and utilizing a fuzzy transformation method, it is possible to include the uncertainties of the problem in the calculation process. In this case, it is feasible to estimate the discharge, giving more emphasis on different uncertainty rates of the Manning roughness coefficient, while the rest of the parameters remain with constant or zero uncertainty level. By taking different a-cut levels, it was shown that the methodology gives realistic and reliable results, presenting with great accuracy the variations of the water discharge for trapezoidal open channels. This way, a possible underestimation or overestimation of the actual physical condition is avoided, by helping the engineers and researchers to obtain a more comprehensive view of the real physical conditions, thus making better management plans.

Fuzzy sets and fuzzy logic: Theory and applications

Endeavour ◽  
1996 ◽  
Vol 20 (1) ◽  
pp. 44 ◽  
Author(s):  
Dennis H. Rouvray
Keyword(s):  
Fuzzy Logic ◽  
Fuzzy Sets ◽  
Fuzzy Logic Theory

An AI view of the treatment of uncertainty

1987 ◽  
Vol 2 (2) ◽  
pp. 75-97 ◽  
Author(s):  
Alessandro Saffiotti
Keyword(s):  
Fuzzy Logic ◽  
Complex Nature ◽  
Dempster Shafer Theory ◽  
Treatment Techniques ◽  
Bayes Theory ◽  
Theory Section ◽  
Pros And Cons ◽  
Fuzzy Logic Theory ◽  
Inference Techniques ◽  
Shafer Theory

AbstractThis paper reviews many of the very varied concepts of uncertainty used in AI. Because of their great popularity and generality “parallel certainty inference” techniques, so-called, are prominently in the foreground. We illustrate and comment in detail on three of these techniques; Bayes' theory (section 2); Dempster-Shafer theory (section 3); Cohen's model of endorsements (section 4), and give an account of the debate that has arisen around each of them. Techniques of a different kind (such as Zadeh's fuzzy-sets, fuzzy-logic theory, and the use of non-standard logics and methods that manage uncertainty without explicitly dealing with it) may be seen in the background (section 5).The discussion of technicalities is accompanied by a historical and philosophical excursion on the nature and the use of uncertainty (section 1), and by a brief discussion of the problem of choosing an adequate AI approach to the treatment of uncertainty (section 6). The aim of the paper is to highlight the complex nature of uncertainty and to argue for an open-minded attitude towards its representation and use. In this spirit the pros and cons of uncertainty treatment techniques are presented in order to reflect the various uncertainty types. A guide to the literature in the field, and an extensive bibliography are appended.

The Dynamics of Web Traffic

2018 ◽  
pp. 82-101
Author(s):  
Bruce Rogers
Keyword(s):  
Mathematical Models ◽  
Power Law ◽  
Equity Market ◽  
Biological Species ◽  
Web Traffic ◽  
New Models ◽  
Over Time ◽  
The Web

This chapter aims to build better models of web traffic. It shows how web traffic is roughly power law distributed, in which a highly concentrated “head” of the Web is coupled with a long, diffuse “tail” of tiny sites. These power law-like patterns have provoked vigorous debate about whether the Web is dominated by new or old elites. To address these issues, this chapter builds new models that scale seamlessly from the largest websites down to hundreds of smaller ones. It builds and tests these models with a rich dataset from Hitwise, a web measurement firm. As this chapter shows, digital audience growth follows predictable patterns. These patterns look much like the growth of cities over time, or the fluctuations of stocks on an equity market (more on that shortly), or even the growth and decline of biological species. This chapter borrows mathematical models and techniques from other disciplines to demonstrate these patterns, focus with a focus on understanding the principles and intuition behind the models.

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