By Dan E. Tamir, Naphtali D. Rishe, Abraham Kandel

Entire and well timed record on fuzzy common sense and its applications
Analyzes the paradigm shift in uncertainty administration upon the creation of fuzzy logic
Edited and written by means of best scientists in either theoretical and utilized fuzzy logic

This booklet offers a entire document at the evolution of Fuzzy common sense considering its formula in Lotfi Zadeh’s seminal paper on “fuzzy sets,” released in 1965. moreover, it incorporates a stimulating sampling from the vast box of analysis and improvement encouraged by means of Zadeh’s paper. The chapters, written by means of pioneers and favourite students within the box, convey how fuzzy units were effectively utilized to synthetic intelligence, keep watch over idea, inference, and reasoning. The booklet additionally stories on theoretical matters; positive factors fresh purposes of Fuzzy good judgment within the fields of neural networks, clustering, information mining and software program checking out; and highlights a big paradigm shift because of Fuzzy common sense within the zone of uncertainty administration. Conceived by means of the editors as a tutorial party of the fifty years’ anniversary of the 1965 paper, this paintings is a must have for college students and researchers keen to get an inspiring photo of the prospects, boundaries, achievements and accomplishments of Fuzzy Logic-based systems.

Topics
Computational Intelligence
Data Mining and data Discovery
Control
Artificial Intelligence (incl. Robotics)

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The analysis of the teacher’s behavior in performing an evaluation process leads to construction of a system for an automated knowledge control. This system is able to conduct evaluation of students’ knowledge, and determine correctness and incorrectness of provided answers. 2 Implementation of Intelligent System in Educational Process The quality of a teaching system depends on the precise definition of the characteristics of several key factors defining the student’s knowledge level and abilities: results of absorbing material recently presented to her, mastering the material presented in the past, and current moral and psychological state of the student.

Hybrid ESs represent different kinds of knowledge and are equipped with conceptual, expert, and factual methods of its processing. The main task of the development of hybrid systems is to combine different forms of representing knowledge and methods of its processing, and merge them with decision-making approaches of ES. This means, that the actual problem is to investigate the possibilities of optimal connection of different mechanisms of knowledge processing to improve the quality, mobility and efficiency of ES in solving problems of a knowledge control process in conditions of uncertainty.

AN+ , A1− , A2− , . . , AM− C A @ N M 0 ð4:3Þ where, Z – evaluation of knowledge, P – uncertainty of evaluation, f – the decision making subprogram which works based on the following characteristics of conducted testing, (Ai+) – the set of difficulty levels of correctly answered questions, (Aj–) – the set of difficulty levels of incorrectly answered questions, N – number of questions with the correct answers, M – number of questions with the incorrect answers [5]. The result of the formula 4 is a complex number.

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