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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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Fuzzy curve-tracing algorithm

TL;DR: This paper presents a fuzzy clustering algorithm for the extraction of a smooth curve from unordered noisy data using the fuzzy c-means (FCM) algorithm, with the constraint that the curve must be smooth.
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Neuro-fuzzy feature selection approach based on linguistic hedges for medical diagnosis

TL;DR: The results indicated that use of linguistic hedges in adaptive neural-fuzzy classifier improves the success of the classifier, and the proposed method not only helps to reduce the dimensionality of large datasets but also can speed up the computation time of a learning algorithm and simplify the classification tasks.
Journal ArticleDOI

Intelligent prediction of surrounding rock deformation of shallow buried highway tunnel and its engineering application

TL;DR: The presented method has been validated as an effective method of deformation prediction for surrounding rock, which also has good prospects for further engineering applications and is simple, feasible and easy to implement.
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Fractal-Based Fuzzy Technique For Detection Of Active Regions From Solar Images

TL;DR: The pixelwise local fractal dimension of solar images is computed by different techniques followed by different segmentation procedures including the fuzzy-based approach, for extracting the active regions from chromospheric images and assessing their performance.
Proceedings ArticleDOI

On Detecting Port Scanning using Fuzzy Based Intrusion Detection System

TL;DR: A fuzzy logic controller is designed and integrated with Snort in order to enhance the functionality of port scanning detection and shows that applying fuzzy logic adds to the accuracy of determining bad traffic.
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.
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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.