Citation
Khameneh, Azadeh Zahedi and Kilicman, Adem
(2013)
On soft σ-algebras.
Malaysian Journal of Mathematical Sciences, 7 (1).
pp. 17-29.
ISSN 1823-8343
Abstract
The concept of soft sets, which was first introduced by Molodstov, is a new method to deal with uncertainty. In this work, we generalize probability theory to soft probability theory. We first introduce a soft σ-algebra as a collection of soft sets over an initial universe set X with a fixed set of parameters E and show the soft σ-algebra is a parameterized family of σ-algebras over X, then present some of its properties. Finally, we discuss on the soft probability space.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/volume7.1.php
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Universiti Putra Malaysia Press |
| Keywords: | Measurable spaces; Probability theory; Probability measure; Fuzzy set; Soft set; Soft topology |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 02 Jul 2014 05:09 |
| Last Modified: | 27 May 2015 04:39 |
| URI: | http://psasir.upm.edu.my/id/eprint/30144 |
| Statistic Details: | View Download Statistic |
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