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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Handling uncertainties in the seismic analysis using fuzzy theory
TL;DR: The attention is focused on the definition of the seismic input (artificial accelerograms) and the consequent dynamical analyses which are developed in presence of uncertainties and an analysis is developed based on the fuzzy theory.
On applications of Soft Computing Assisted Analysis for Software Reliability
H. S. Vijaya kumar,M. A Jayram +1 more
TL;DR: This study reviews the available literature on software reliability and elicited the current trends, existing problems, specific difficulties, future directions and open areas for research.
Proceedings ArticleDOI
Optimal Hydraulic Structures Profiles Under Uncertain Seepage Head
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Dissertation
Evolution and decay of peneplains in the northern Lhasa terrane, Tibetan Plateau
TL;DR: In this article, the evolution and decay of peneplains, which are distinctive geomorphological structures in the southern area of the Tibetan Plateau, was investigated. And the results indicated an ongoing period of stability for the geomorphic feature of the peneplain.
A New Nonlinear Specification of Structural Breaks for Money Demand in Iran
TL;DR: In this article, a new transition function is introduced in a structural time series regression equation model in order to transform the binary dummy variables into a fuzzy set, which is used to quantify qualitative or categorical quantitative events such as politic and economic structural breaks, regions, age groups and etc.
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.