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
More filters
Journal ArticleDOI
Maximizing sets and fuzzy Markoff algorithms
TL;DR: It is shown that the generation of strings by a fuzzy algorithm bears a resemblance to a birth-and-death process and that the execution of the algorithm terminates when no more "live" strings are left.
Proceedings ArticleDOI
Granular computing: examples, intuitions and modeling
TL;DR: The notion of granular computing is examined; localized multi-level granulation can be modeled by generalized topological spaces, called neighborhood systems, for most general granulation are modeled by Tarski type relational structures.
Journal ArticleDOI
Fuzzy control of inverted pendulum and concept of stability using Java application
Yasar Becerikli,B. Koray Celik +1 more
TL;DR: Investigation of fuzzy control system modeling methods and solution of the ''Inverted Pendulum Problem'' by using Java programming with Applets for internet based control education are presented.
Journal ArticleDOI
Optimizing biofuels production in an uncertain decision environment: Conventional vs. advanced technologies
TL;DR: In this article, the authors present an approach of modeling sustainable bio-fuels production from conventional and advanced biofuels feedstocks, under the condition of limited resources and uncertainty resulting from incomplete information or missing knowledge about the consequences of possible policy actions.
Journal ArticleDOI
Evaluating sustainability of biofuels feedstocks: a multi-objective framework for supporting decision making.
TL;DR: The study shows algae and switchgrass to be the most sustainable feedstocks, while corn that is currently the most important feedstock for ethanol production in the US, has the lowest sustainability potential among the analyzed feedstocks.
References
More filters
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.