Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Khameneh, Azadeh Zahedi, Kilicman, Adem
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30144/1/30144.pdf
http://psasir.upm.edu.my/id/eprint/30144/
http://einspem.upm.edu.my/journal/volume7.1.php
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.30144
record_format eprints
spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Khameneh, Azadeh Zahedi
Kilicman, Adem
spellingShingle Khameneh, Azadeh Zahedi
Kilicman, Adem
On soft σ-algebras
author_facet Khameneh, Azadeh Zahedi
Kilicman, Adem
author_sort Khameneh, Azadeh Zahedi
title On soft σ-algebras
title_short On soft σ-algebras
title_full On soft σ-algebras
title_fullStr On soft σ-algebras
title_full_unstemmed On soft σ-algebras
title_sort on soft σ-algebras
publisher Universiti Putra Malaysia Press
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30144/1/30144.pdf
http://psasir.upm.edu.my/id/eprint/30144/
http://einspem.upm.edu.my/journal/volume7.1.php
_version_ 1643829970682773504
score 13.18916

Similar Items