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On fuzzy algorithms

Lotfi A. Zadeh
- pp 127-147
TLDR
A fuzzy algorithm is introduced which, though fuzzy rather than precise in nature, may eventually prove to be of use in a wide variety of problems relating to information processing, control, pattern recognition, system identification, artificial intelligence and, more generally, decision processes involving incomplete or uncertain data.
Abstract
Unlike most papers in Information and Control, our note contains no theorems and no proofs. Essentially, its purpose is to introduce a basic concept which, though fuzzy rather than precise in nature, may eventually prove to be of use in a wide variety of problems relating to information processing, control, pattern recognition, system identification, artificial intelligence and, more generally, decision processes involving incomplete or uncertain data. The concept in question will be called a fuzzy algorithm because it may be viewed as a generalization, through the process of fuzzification, of the conventional (nonfuzzy) conception of an algorithm. More specifically, unlike a nonfuzzy deterministic or nondeterministic algorithm (Floyd, 1967), a fuzzy algorithm may contain fuzzy statements, that is, statements containing names of fuzzy sets (Zadeh, 1965), by which we mean classes in which there may be grades of membership intermediate between full membership and nonmembership. To illustrate, fuzzy algorithms may contain fuzzy instructions such as:

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Citations
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Journal ArticleDOI

Digital Pulse Shape Discrimination in Triple-Layer Phoswich Detectors Using Fuzzy Logic

TL;DR: Compared to the non-fuzzy method which was initially implemented for this detector, the fuzzy algorithm shows a better performance in separating beta and gamma spectra, especially at high energies.
Journal ArticleDOI

A CAE system for micromachines: its application to electrostatic micro wobble actuator

TL;DR: In this article, a finite element (FE) mesh-generation technique based on fuzzy knowledge processing and computational geometry techniques is incorporated into the system, together with a commercial FE analysis code, MARC, and a commercial solid modeler, DESIGNBASE.
Proceedings ArticleDOI

A Visualisation Technique for the Identification of Security Threats in Networked Systems

TL;DR: The proposed onion skin model combines attack graphs and security layers to illustrate possible threats and shortest paths to the attacker's goal, and justifies the advantage of the threat identification technique in decision making process.
Journal ArticleDOI

Speed Control for DC Motor Drive based on Fuzzy and Genetic PI Controller - A Comparative Study

TL;DR: In this paper, a speed controller of a DC motor by selection of a PI parameters using genetic algorithm and also to compare it with a fuzzy logic controller is proposed, where the motor current is forced to stay within the hysteresis band determined by the upper and lower hystresis limits.
Proceedings ArticleDOI

Gray Image Extraction Using Fuzzy Logic

TL;DR: This article proposes a fuzzy rule guided novel technique that is functional devoid of any external intervention during execution and takes recourse to effective metrics like Mean Squared Error (MSE), Mean Absolute Error (MAE), Peak Signal to Noise Ratio (PSNR).
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI

On Computable Numbers, with an Application to the Entscheidungsproblem

TL;DR: This chapter discusses the application of the diagonal process of the universal computing machine, which automates the calculation of circle and circle-free numbers.
Journal ArticleDOI

L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
Journal ArticleDOI

Nondeterministic Algorithms

TL;DR: Algorithms to solve combinatorial search problems by using multiple-valued functions are illustrated with algorithms to find all solutions to the eight queens problem on the chessboard, and to finding all simple cycles in a network.