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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Book ChapterDOI
Fuzzy Control as the Entrance Door to Control Theory
TL;DR: Fuzzy logic can be used to face control as a challenging game well adapted to the way of thinking of young generations as well as being decisive to fix attraction level of the field.
Region matching by optimal fuzzy dissimilarity
Zhanggui Zeng,Hong Yan +1 more
TL;DR: A method to extract the moment invariant features, a notation of fuzzy dissimilarity to simplify matching computation and an optimal matching pair theorem which can greatly decrease the computing complexity of searching for optimal matching path are presented.
Dissertation
Simulating the Integrated Optimization of Energy Costs and Occupants’ Productivity in Offices
TL;DR: In this article, the authors proposed a method for personalized energy and comfort management in office buildings to simultaneously optimize energy consumption costs and the productivity of office workers, based on a simplified RC-network thermal model of a multi-zone office building, located in Montreal, Canada.
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.