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 |
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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 |
| _version_ | 1848846594789605376 |
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| author | Khameneh, Azadeh Zahedi Kilicman, Adem |
| author_facet | Khameneh, Azadeh Zahedi Kilicman, Adem |
| author_sort | Khameneh, Azadeh Zahedi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:05:12Z |
| format | Article |
| id | upm-30144 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:12Z |
| publishDate | 2013 |
| publisher | Universiti Putra Malaysia Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301442015-05-27T04:39:47Z http://psasir.upm.edu.my/id/eprint/30144/ On soft σ-algebras Khameneh, Azadeh Zahedi Kilicman, Adem 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. Universiti Putra Malaysia Press 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30144/1/30144.pdf Khameneh, Azadeh Zahedi and Kilicman, Adem (2013) On soft σ-algebras. Malaysian Journal of Mathematical Sciences, 7 (1). pp. 17-29. ISSN 1823-8343 http://einspem.upm.edu.my/journal/volume7.1.php |
| spellingShingle | Khameneh, Azadeh Zahedi Kilicman, Adem On soft σ-algebras |
| title | On soft σ-algebras |
| title_full | On soft σ-algebras |
| title_fullStr | On soft σ-algebras |
| title_full_unstemmed | On soft σ-algebras |
| title_short | On soft σ-algebras |
| title_sort | on soft σ-algebras |
| url | http://psasir.upm.edu.my/id/eprint/30144/ http://psasir.upm.edu.my/id/eprint/30144/ http://psasir.upm.edu.my/id/eprint/30144/1/30144.pdf |