Interval-Valued Vague Soft Sets and Its Application
Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft s...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/208489 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552216332861440 |
|---|---|
| author | Khaleed Alhazaymeh Nasruddin Hassan |
| author_facet | Khaleed Alhazaymeh Nasruddin Hassan |
| author_sort | Khaleed Alhazaymeh |
| collection | DOAJ |
| description | Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation, complement, and null while further studying some properties. We give examples for these concepts, and we give a number of applications on interval-valued vague soft sets. |
| format | Article |
| id | doaj-art-3b61cc3366ce465596b17d39bbc8688c |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-3b61cc3366ce465596b17d39bbc8688c2025-02-03T05:59:19ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/208489208489Interval-Valued Vague Soft Sets and Its ApplicationKhaleed Alhazaymeh0Nasruddin Hassan1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor 43600, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor 43600, MalaysiaMolodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation, complement, and null while further studying some properties. We give examples for these concepts, and we give a number of applications on interval-valued vague soft sets.http://dx.doi.org/10.1155/2012/208489 |
| spellingShingle | Khaleed Alhazaymeh Nasruddin Hassan Interval-Valued Vague Soft Sets and Its Application Advances in Fuzzy Systems |
| title | Interval-Valued Vague Soft Sets and Its Application |
| title_full | Interval-Valued Vague Soft Sets and Its Application |
| title_fullStr | Interval-Valued Vague Soft Sets and Its Application |
| title_full_unstemmed | Interval-Valued Vague Soft Sets and Its Application |
| title_short | Interval-Valued Vague Soft Sets and Its Application |
| title_sort | interval valued vague soft sets and its application |
| url | http://dx.doi.org/10.1155/2012/208489 |
| work_keys_str_mv | AT khaleedalhazaymeh intervalvaluedvaguesoftsetsanditsapplication AT nasruddinhassan intervalvaluedvaguesoftsetsanditsapplication |