|
|
The Entropy of Fuzzy Dynamical Systems with Countable Partitions
|
|
|
|
|
نویسنده
|
eslami giski zahra ,ebrahimi mohamad
|
منبع
|
journal of mathematical extension - 2016 - دوره : 10 - شماره : 2 - صفحه:87 -100
|
چکیده
|
In this paper, the entropy of fuzzy countable partitions is proposed. in addition, the notion of fuzzy conditional entropy, fuzzy relative entropy and entropy on a fuzzy dynamical system based on fuzzy countable partitions are introduced and some properties of these entropies are analyzed. using the concept of fuzzy generator, it is proved that the entropy of a dynamical system is done through a fuzzy generator. furthermore, one of the proven results in this paper is isomorphism invariant property of entropy with fuzzy countable partitions on a fuzzy dynamical system.
|
کلیدواژه
|
Countable partition ,fuzzy entropy ,fuzzy dynamical system ,fuzzy generator
|
آدرس
|
islamic azad university, sirjan branch, department of mathematics, Iran, shahid bahonar university of kerman, department of mathematics, iran
|
پست الکترونیکی
|
mohamad ebrahimi@mail.uk.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|