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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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Performance Evaluation of International Airline Websites Quality using Fuzzy Analytical Hierarchy Process Model
TL;DR: The authors propose a methodology for evaluating the airline website quality based on fuzzy analytical hierarchy process model (FAHPM), and suggest that more effort is required to meet with these criteria in the context of website design.
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Frontiers of Topology
TL;DR: While interactions of logic programming and dislocated metric spaces are provided in detail, other areas are given only introductory mentions in the article.
From Boolean Logic to Fuzzy Logic
Tianyu Gan,Xuzhou Jiangsu +1 more
TL;DR: This paper compares the concept, inference and application of fuzzy logic to those of twovalued logic.
Posted Content
A Lossless Fuzzy Binary AND/OR Compressor
TL;DR: A new fuzzy 2bit-AND parallel-to-OR (FBAR) text data compression model as an algorithm is suggested for bettering spatial locality limits on nodes during database transactions, and it is hypothesized that significant data compression ratio of 2n:1 for n>3:1 ratios is achievable.
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.