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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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Modelling for tensile strength of friction welded aluminium pipes by ANFIS
TL;DR: Fuzzy model has been proposed to predict the tensile strength of radial friction welded aluminium pipes using adaptive neuro-fuzzy inference system (ANFIS) technique of fuzzy based systems for modelling and simulation of the complex systems.
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Cold War Imperatives and Quarrelsome Clients Modeling U.S. and USSR Arms Transfers to India and Pakistan
TL;DR: In this article, the authors extend a formal systems model on the political and strategic consequences of great power arms transfers to show that subsequent superpower transfers are influenced not by the consequences of past transfers but by the political relationships between the exporters and importers and by the arms trade behavior of the importers.
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On the interpretation of fuzzy if then rules
TL;DR: The basic algorithm for reasoning in the fuzzy systems modeling method is introduced and two classes of operators for interpreting the rules in these models are described, the Mamdani-Zadeh operator and the logical operator.
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Linear programming based decomposition approach in evaluating priorities from pairwise comparisons and error analysis
TL;DR: In this paper, a simple approach and a linear programming approach are formulated and analyzed in solving the problem of combining the comparisons of the two matrices in order to derive the priorities of the elements considered in both matrices.
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Automatic mesh generation of quadrilateral elements using intelligent local approach
TL;DR: A new automated mesh generation method named Intelligent Local Approach (ILA), which well controls both size and aspect ratio of quadrilateral element in a two-dimensional plane, which can be straightforwardly extended to hexahedral elements in a three-dimensional solid.
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.