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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Article Review: Survey Fuzzy Logic and Aprior Algorithms Employed for E-learning Environment
TL;DR: A survey on growing and relevant issues in the field of artificial intelligence algorithms, their advantages and drawbacks (fuzzy logic and A prior algorithm), as well as the importance of using these strategies to make e-learning system smarter and more efficient is presented.
Sliding mode-based learning control for complex systems with dynamic fuzzy models
TL;DR: In this paper, a sliding mode learning control has been developed to address the issues of fuzzy dynamic modelling and various types of robust controller designs, which has three major advantages: (i) the information of the parameter variations and disturbances is no longer required in the proposed learning controller design, (ii) the control input is chattering-free, and (iii) the sliding-mode learning control system possesses a strong robust property against parameter variation and disturbances.
Investigation of Methods for Assessing Sensorimotor Performance in Humans and Monkeys
TL;DR: The ability of human and monkey subjects to perform a new task, called the Critical Stability Task, and an investigation of the neural representation of small amplitude movements, which shows how little the authors know about the control of very small movements.
Book ChapterDOI
Techniques and Applications of Fuzzy Theory in Generalized Defuzzification Methods and Their Utilization in Parameter Learning Techniques
Tao Jiang,Yao Li +1 more
TL;DR: The chapter introduces the general concept of the transformation of defuzzification strategy (DS), which is a mapping from a fuzzy set on a universe of discourse into a designated nonfuzzy or crisp space, and presents a polynomial transformation baseddefuzzification (PTD) strategy to handle the single-mode cases and multimode-oriented polynometric transformation-based defuzzify as a more general defuzzifying strategy to deal with multimode defuzzified problems.
Journal ArticleDOI
Analysis and Usage of Fuzzy Logic for Optimized Evaluation of Database Queries
TL;DR: This paper proves that for specific applications on databases using rule based systems can give much better results rather than using simple crisp queries with simple database management.
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.
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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.