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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Journal ArticleDOI
Applying Cathegorical Metrics on Fuzzy Systems
TL;DR: This work analyzes the categorical metrics usage on a very specific subset of Intelligent Systems: Fuzzy Systems to present a way to start the study of quality measure in that area.
Book ChapterDOI
Click Prediction in Digital Advertisements: A Fuzzy Approach to Model Selection
TL;DR: This work proposes a new approach for ensembling prediction with fuzzy clustering that enables flexible clustering for the objects which have more than one cluster’s characteristics and shows that ensembled the algorithms with a fuzzy approach has better performance result than applying algorithms individually.
Book ChapterDOI
An Alternative to Power Measure for Fuzzy Rule-Based Classification Systems
Frederico B. Tiggemann,Bryan Stefan Galani Pernambuco,Giancarlo Lucca,Eduardo Nunes Borges,Helida Santos,Graçaliz Pereira Dimuro,Graçaliz Pereira Dimuro,José Antonio Sanz,Humberto Bustince +8 more
TL;DR: This work proposes the use of a well known fuzzy measure, the Sugeno lambda, as an alternative to the Power Measure, which is widely used in many generalizations of the Choquet Integral.
Proceedings Article
An alternative approach for computing the union and intersection of fuzzy sets: a basis for design of robust fuzzy controllers
TL;DR: This paper proposes an alternative approach to determination of membership function based on the Fourier series representation of the envelope of the fuzzy "patch", and defines an explicit expression for determining membership function in the overlap region.
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.