Journal ArticleDOI
Fuzzy fractal dimensions and fuzzy modeling
Witold Pedrycz,Andrzej Bargiela +1 more
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TLDR
It is shown that fuzzy set approach produces more consistent models (in terms of their performance), and how the power law of granularity helps construct mappings between system's variables in rule-based models.About:
This article is published in Information Sciences.The article was published on 2003-07-01. It has received 465 citations till now. The article focuses on the topics: Fractal analysis & Fuzzy number.read more
Citations
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On Three Types of Covering-Based Rough Sets
William Zhu,Fei-Yue Wang +1 more
TL;DR: The relationships among the definable sets are investigated, and certain conditions that the union of the neighborhood and the complementary neighborhood is equal to the indiscernible neighborhood are presented.
Journal ArticleDOI
Generalized rough sets based on relations
William Zhu,William Zhu +1 more
TL;DR: This paper studies arbitrary binary relation based generalized rough sets, in which a binary relation can generate a lower approximation operation and an upper approximation operation, but some of common properties of classical lower and upper approximation operations are no longer satisfied.
Journal ArticleDOI
Fractal dimension applied to plant identification
TL;DR: Methods to identify plants by analysing leaf complexity based on estimating their fractal dimension, using a computational program to process, analyze and extract the features of leaf images, thereby allowing for automatic plant identification.
Journal ArticleDOI
Gravitational search algorithm-based design of fuzzy control systems with a reduced parametric sensitivity
TL;DR: This paper proposes the design of fuzzy control systems with a reduced parametric sensitivity making use of Gravitational Search Algorithms (GSAs), and suggests a GSA with improved search accuracy.
Proceedings ArticleDOI
On three types of covering-based rough sets via definable sets
Yanfang Liu,William Zhu +1 more
TL;DR: Three kinds of covering generalized rough sets for dealing with the vagueness and granularity in information systems are studied and the relationships among these three types of covering rough sets are explored.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI
The Fractal Geometry of Nature
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Book
Fractals Everywhere
TL;DR: Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
Book
Chaos: Making a New Science
TL;DR: The chaos theory as mentioned in this paper is an extension of classical mechanics in which simple and complex causes are seen to interact, and the implications are staggeringly universal in all areas of scientific work and philosophical thought.
Related Papers (5)
A model of granular data: a design problem with the Tchebyschev FCM
Andrzej Bargiela,Witold Pedrycz +1 more