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What is Fuzzy Logic (FL)

Chapter 23
Encyclopedia of Information Science and Technology, Fifth Edition
A logic based on the concept of fuzzy set that, in contrast to the classical bi-valued logic of Aristotle (yes – no), characterizes cases with multiple values.
Published in Chapter:
Use of Grey Numbers for Evaluating a System's Performance Under Fuzzy Conditions
Michael Voskoglou (Graduate Technological Educational Institute of Western Greece, Greece)
Copyright: © 2021 |Pages: 17
DOI: 10.4018/978-1-7998-3479-3.ch023
Abstract
In the present research, a method using Grey Numbers as tools is developed for assessing a system's mean performance, which is useful when utilizing qualitative grades and not numerical scores for this purpose. Although this new method is proved to be equivalent with an analogous method using Triangular Fuzzy Numbers as tools developed in an earlier work, it reduces the required computational burden, since it requires the calculation of two components only (instead of three in the case of the Triangular Fuzzy Numbers) for obtaining the mean value of the Grey Numbers involved. Examples are also presented on student and athlete assessment illustrating the new method and showing that the system's quality performance, calculated by the traditional GPA index, may lead to different assessment conclusions.
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Chapter 15
Asynchronous Channel Allocation in Opportunistic Cognitive Radio Networks
Expressed “true” or “false” value from the interval between 0 and 1. A fuzzy number is an element, which belongs with a certain degree (“degrees of truth”) to a specific membership function.
Published in Chapter: Asynchronous Channel Allocation in Opportunistic Cognitive Radio Networks; From: Handbook of Research on Software-Defined and Cognitive Radio Technologies for Dynamic Spectrum Management
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Chapter 28
Computers and Artificial Intelligence in Future Education
An infinite-valued on the real interval [0, 1] logic, defined with the help of the concept of the Zadeh’s fuzzy set, that extends and completes the traditional bivalent logic and has found nowadays applications to almost all sectors of the human activity.
Published in Chapter: Computers and Artificial Intelligence in Future Education; From: Handbook of Research on Teaching With Virtual Environments and AI
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Chapter 280
Application of Fuzzy Numbers to Assessment Processes
A logic based on the concept of fuzzy set that, in contrast to the classical bi-valued logic (yes – no), characterizes a case with multiple values.
Published in Chapter: Application of Fuzzy Numbers to Assessment Processes; From: Encyclopedia of Information Science and Technology, Fourth Edition
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Chapter 5
Use of Soft and Neutrosophic Sets for a Mathematical Representation of the Ethical Rules
A logic based on the concept of FS that, in contrast to the classical bi-valued logic of Aristotle (right-wrong), characterizes cases with multiple values.
Published in Chapter: Use of Soft and Neutrosophic Sets for a Mathematical Representation of the Ethical Rules; From: NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World
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Chapter 8
Adaptive Neuro-Fuzzy Inference System in Agriculture
It is a multi-valued logic which deals with the concept of partial truth. It is used in cases where the conditions cannot be described by exact values of 0 (false) and 1 (true). The values can lie between 0 and 1.
Published in Chapter: Adaptive Neuro-Fuzzy Inference System in Agriculture; From: Fuzzy Expert Systems and Applications in Agricultural Diagnosis
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