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Towards a theory of fuzzy systems

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The article was published on 1996-08-01 and is currently open access. It has received 252 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.

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Citations
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Journal ArticleDOI

Outline of a New Approach to the Analysis of Complex Systems and Decision Processes

TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Book

Decision-making in a fuzzy environment

TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Journal Article

Fuzzy logic in control systems : fuzzy logic controller. Part II

TL;DR: The fuzzy logic controller (FLC) based on fuzzy logic provides a means of converting a linguistic control strategy based on expert knowledge into an automatic control strategy.
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Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic

TL;DR: M Modes of information granulation (IG) in which the granules are crisp (c-granular) play important roles in a wide variety of methods, approaches and techniques, but this does not reflect the fact that in almost all of human reasoning and concept formation thegranules are fuzzy (f- Granular).
Book

Fuzzy logic, neural networks, and soft computing

TL;DR: A simple case in point is the problem of parking a car as discussed by the authors, where the final position of the car is not specified exactly, and if it were specified to within, say, a few millimeters and a fraction of a degree, it would take hours or days of maneuvering and precise measurements of distance and angular position.
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.
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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].
Book

On fuzzy algorithms

TL;DR: 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.
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General formulation of sequential machines

TL;DR: An attempt is made to extract the basic properties common to all these machines and develop from it a general formulation of sequential machines.