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
More filters
Book ChapterDOI
Identification of Takagi-Sugeno fuzzy models via clustering and Hough transform
TL;DR: This chapter considers the identification of a Takagi-Sugeno fuzzy model (TS fuzzy model) which describes a nonlinear input-output relation and the meaning of these linguistic values is defined by corresponding membership functions.
Proceedings Article
Combination of fuzzy logic control and back propagation neural networks for the autonomous driving control of car-like mobile robot systems
TL;DR: The wall-following controller composed of a back propagation neural network and a fuzzy logic control is proposed to make the CLMR move smoothly in the unknown and changing environment to implement the autonomous driving mission.
Journal ArticleDOI
Predicting the effects of tool geometries on friction stirred aluminium welds using artificial neural networks and fuzzy logic techniques
TL;DR: It was observed that, for a combination of FSW tool geometries, the ANN model was not so effective in predicting the FSW weldment characteristics, while the fuzzy logic model was able to predict the same with much lower percentage of error for the test cases.
Book ChapterDOI
Soft Computing Applications in Thermal Energy Systems
TL;DR: This chapter presents a review of SC applications in energy systems that belong to the field of thermal engineering, special attention is devoted to the analysis, design and control of heat exchangers.
Proceedings Article
Flexibility and robustness of hierarchical fuzzy signature structures with perturbed input data
TL;DR: The ability of fuzzy signature structure to cope with substantially reduced information as simulated by an experiment in which major branches were removed demonstrates that fuzzy signatures are robust under both of these conditions.
References
More filters
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.