Malaysian Journal of Mathematical Sciences, January 2016, Vol. 10, No. 1
Entropy on Semi MV-Algebra
Eslami Giski, Z. and Ebrahimi, M.
Corresponding Email: Eslamig_zahra@yahoo.com
Received date: -
Accepted date: -
Abstract:
In this paper, at first, the notion of unity partition on semi MV-algebra with RDP is introduced. By using a state function, the concept of
entropy and conditional entropy on partitions of semi MV-algebra with RDP is defined and, in addition, some of the basic properties related to
this notions are investigated. Afterwards, semi dynamical system on semi MV-algebra with RDP and lower and upper entropies on semi dynamical system are introduced, respectively. Then some theorem related to this concepts are proved. In final part of this article, entropy of some semi dynamical systems on semi MV-algebra with RDP are calculated.
Keywords: Dynamical system, Entropy, MV-Algebra, Semi MV-algebra
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