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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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Book ChapterDOI

Fuzzy number as input for approximate reasoning and applied to optimal control problem

TL;DR: The authors present a mathematical framework for studying a fuzzy logic control, which is constructed by IF-THEN type fuzzy rules through a kind of product-sum-gravity method that uses fuzzy numbers instead of definite values as premise variables in IF- THEN fuzzy rule.
Journal ArticleDOI

Application of a new integrated optimization approach in sheet hydroforming process

TL;DR: A new adaptive optimization approach based on fuzzy logic control integrated with simulated annealing optimization technique and ANSYS parametric design language and an intermediate MATLAB code was developed and used to manage data transfer automatically between FLC, SA and APDL.
Proceedings ArticleDOI

A Fuzzy Classification Method Based on Quantum Genetic Algorithm and Its Application in Pattern Recognition

TL;DR: A fuzzy classification system is constructed based on quantum genetic algorithm (QGA) and fuzzy theory that uses QGA to select significant fuzzy rules and removes unnecessary rules, so fuzzy rules reach an optimization state.
Journal ArticleDOI

Implementasi Fuzzy Logic Control pada Tracking (Pelacakan) Solar Panel Menggunakan Arduino ATmega328

TL;DR: In this article, a dynamic solar panel equipped with a fuzzy-method tracking system has been developed to improve the performance of the solar panels, which can produce an average voltage of 19% and an average current of 16% higher than static solar panels.

Protesting Ethnic Minorities in Europe: A Fuzzy-Set Analysis

Abstract: This study analyzes the contextual nature of ethnogroup mobilization in Europe. The focus is on ethnopolitical protest, a form of group mobilization involving peaceful protest. The analysis is based on the “Minorities at Risk” dataset which consists of data on ethnic minorities that are most vulnerable to discrimination practices within European countries. The paper assesses the status of necessity and sufficiency for several conditions in relation to both the presence and the absence of strong ethnopolitical protest for 29 selected minority groups: democracy level, political discrimination, geographical concentration, ethnic fractionalization and the degree of national pride among members of the minority group. The fuzzy-set analysis highlights that minority groups are engaged in strong, but peaceful protest when they (1) are mobilized in a democratic environment, (2) live in a county with a high degree of ethnic fractionalization, and (3) either have weak feelings of national pride or are ethnically concentrated in compact territorial locations. On the other side of the outcome, minority groups without strong ethnopolitical protest (1) have strong feelings of national pride among members of the group, (2) face no political discrimination, and (3) reside in emerging democracies. These results demonstrate the utility of fuzzy set analysis for the investigation of causal complexity in the area of ethnic mobilization.
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.