Rough and Near Rough Probability in Gm- Closure Spaces

Dr. Yousif Yaqoup Yousif; Ahmed Issa Abdul-naby

doi:https://doi.org/10.14445/22315373/IJMTT-V30P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 2 | Year 2016 | Article Id. IJMTT-V30P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P513

Rough and Near Rough Probability in Gm- Closure Spaces

Dr. Yousif Yaqoup Yousif, Ahmed Issa Abdul-naby

Citation :

Dr. Yousif Yaqoup Yousif, Ahmed Issa Abdul-naby, "Rough and Near Rough Probability in Gm- Closure Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 2, pp. 68-78, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P513

Abstract

The primary aim of this paper, is to introduce the rough probability from topological view. We used the Gm-topological spaces which result from the digraph on the stochastic approximation spaces to upper and lower distribution functions, the upper and lower mathematical expectations, the upper and lower variances, the upper and lower standard deviation and the upper and lower rth moment. Different levels for those concepts are introduced, also we introduced some results based upon those concepts.

Keywords

Gm-closure spaces, Rough sets, Near Rough Sets, Rough Probability, Near Rough Probability.

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