Open AccessBook
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:read more
Citations
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Proceedings ArticleDOI
Continuity of approximate reasoning using L-R fuzzy number as input
TL;DR: The authors present a mathematical framework for studying a fuzzy feedback control system, which is constructed by IF-THEN type fuzzy rules through a kind of product-sum-gravity method and shows that the system has an optimal feedback control by essential use of compactness of sets of fuzzy membership functions.
Proceedings ArticleDOI
Position Control of Servo Drive System Based on Interval Type-2 Fuzzy Logic Algorithm
TL;DR: To prove the effectiveness of the presented method of fuzzy type-2 logic, which is evolution type-1 algorithm for improving the efficiency of a drive system, it is compared with the traditional PI controller.
Book ChapterDOI
Security of Railway Infrastructures
TL;DR: It is clearly evident that security actions taken to limit malicious adversaries from reaching or capturing their targets may degrade the transportation system performances, so they have to be designed with particular attention.
A decision maker system for academician selection with fuzzy weighting and fuzzy ranking
TL;DR: An academician selection system has been developed for universities using fuzzy weighting and fuzzy ranking using maximizing set and minimizing set method for ranking alternatives.
Dissertation
Aplicação de técnicas de inteligência computacional no apoio à decisão em jogo de empresas
TL;DR: In this paper, the authors investigate the use of tecnicas de Inteligencia Computacional (ICC) in a jogo empregado, denominado Simulador De Administracao Empresarial (SAE), voltado for conceitos de gestao da producao, vendas e estrategias de negocios.
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.