On soft σ-algebras
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Putra Malaysia Press
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30144/ http://psasir.upm.edu.my/id/eprint/30144/1/30144.pdf |
| Summary: | 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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