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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Neuro-fuzzy ID3: a method of inducing fuzzy decision trees with linear programming for maximizing entropy and an algebraic method for incremental learning
TL;DR: Not only the learning from examples but also the interview with domain specialists are needed for knowledge acquisition in expert systems and fuzzy ID3 is adapted to facilitate incremental learning.
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A Fastening Tool Tracking System Using an IMU and a Position Sensor With Kalman Filters and a Fuzzy Expert System
TL;DR: The results indicate that such a system can successfully identify the fastened bolts and result in improved reliability in determining the tool tip location.
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A transformed input-domain approach to fuzzy modeling
TL;DR: A new fuzzy modeling algorithm is proposed, which partitions the input space more effectively than conventional fuzzy modeling algorithms by taking into consideration the correlation among components of sample data.
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Water Consumption Prediction of Istanbul City by Using Fuzzy Logic Approach
TL;DR: This paper presents a Takagi Sugeno (TS) fuzzy method for predicting future monthly water consumption values from three antecedent water consumption amounts, which are considered as independent variables, and it is observed that this model preserves the statistical properties.
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Employing dynamic fuzzy membership functions to assess environmental performance in the supplier selection process
TL;DR: In this paper, a user-centred hierarchical system employing scalable fuzzy membership functions is proposed to assist management in assessing a supplier's environmental performance in the supplier selection process, with particular focus on a suppliers' environmental performance.
References
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Book
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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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Nondeterministic Algorithms
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