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On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems

The aim of this paper is to establish connections between two entropy notions, namely, between the fuzzy entropy of a fuzzy set, which appeares in fuzzy set theory, and the topological

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

On the topological entropy on the space of fuzzy numbers

In the main result of this article, we prove that the topological entropies of a given interval map and its Zadeh's extension (fuzzification) to the space of fuzzy numbers (i.e., the space of fuzzy sets with connec...

BA - Obecná matematika

  • 2014
  • Jx
Result

Entropies of vague information sources

information theory models to the fuzzy set theoretical environment is desirable topics for analysis in the suggested models of fuzzy entropy the main of them regard., probability-like) than monotonous (typical for...

IN - Informatika

  • 2011
  • Jx
Result

Measuring Fuzzy Query Responses in Similarity Based Models

This paper deals with a fuzzy based generalisation of the Codd?s relational database model. It reviews basic features of the similarity-based approach and describes an evaluation of a query with linguistic modifiers and measuring the fuz...

JC - Počítačový hardware a software

  • 1998
  • Jx
Result

Topological entropy of fuzzified dynamical systems

extended to the space of fuzzy sets on X. In this paper we study relations between the sizes of thetopological entropies of the original dynamical system and of its fuzzy topological entropy of the fu...

BA - Obecná matematika

  • 2011
  • Jx
Result

On topological entropy of Zadeh's extension defined on piecewise convex fuzzy sets

As the main result of this article we prove that a given continuous interval map and its Zadeh's extension (fuzzification) to the space of fuzzy sets) topological entropy. Presented topics are studied also for set-...

Pure mathematics

  • 2017
  • D
  • Link
Result

On the Difference between Traditional and Deductive Fuzzy Logic

In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois?Prade?s gradual elements, the entropy of a fuzzy set, and aggregation operators), the paper exemplifies methodological ...

BA - Obecná matematika

  • 2008
  • Jx
Result

On Topological Entropy of Zadeh's Extension Defined on Piecewise Convex Fuzzy Sets

As the main result of this article we prove that a given continuous interval map and its Zadeh's extension (fuzzification) to the space of fuzzy sets entropy. Presented topics are studied also for set-valued (induc...

Pure mathematics

  • 2018
  • D
  • Link
Result

A note to the entropy of fuzzy T-dynamical systems.

Entropy of fuzzy partitions introduced by Ban in 1998 is shown to collapse either to standard entropy case, or to the Ruspini (1969) entropy....

BA - Obecná matematika

  • 2001
  • Jx
Result

A Rough-fuzzy C-means using information entropy for discretized violent crimes data

. The efficiency of Rough-fuzzy C-means algorithm is affected by the numbers of clusters human intervention for impartiality. The information entropy is a helpful tool for resolving those issues. In this paper, a novel discrete Roug...

IN - Informatika

  • 2014
  • D
  • Link
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