Type-2 Fuzzy Soft Sets and Their Applications in Decision Making
Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory. Some operations on the type-2 fuzzy s...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/608681 |
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| _version_ | 1832566145165557760 |
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| author | Zhiming Zhang Shouhua Zhang |
| author_facet | Zhiming Zhang Shouhua Zhang |
| author_sort | Zhiming Zhang |
| collection | DOAJ |
| description | Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory. Some operations on the type-2 fuzzy soft sets are given. Furthermore, we investigate the decision making based on type-2 fuzzy soft sets. By means of level soft sets, we propose an adjustable approach to type-2 fuzzy-soft-set based decision making and give some illustrative examples. Moreover, we also introduce the weighted type-2 fuzzy soft set and examine its application to decision making. |
| format | Article |
| id | doaj-art-8cd053afdf9c4f209058092e45ff2c62 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8cd053afdf9c4f209058092e45ff2c622025-02-03T01:04:57ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/608681608681Type-2 Fuzzy Soft Sets and Their Applications in Decision MakingZhiming Zhang0Shouhua Zhang1College of Mathematics and Computer Sciences, Hebei University, Hebei, Baoding 071002, Hebei Province, ChinaCollege of Mathematics and Computer Sciences, Hebei University, Hebei, Baoding 071002, Hebei Province, ChinaMolodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory. Some operations on the type-2 fuzzy soft sets are given. Furthermore, we investigate the decision making based on type-2 fuzzy soft sets. By means of level soft sets, we propose an adjustable approach to type-2 fuzzy-soft-set based decision making and give some illustrative examples. Moreover, we also introduce the weighted type-2 fuzzy soft set and examine its application to decision making.http://dx.doi.org/10.1155/2012/608681 |
| spellingShingle | Zhiming Zhang Shouhua Zhang Type-2 Fuzzy Soft Sets and Their Applications in Decision Making Journal of Applied Mathematics |
| title | Type-2 Fuzzy Soft Sets and Their Applications in Decision Making |
| title_full | Type-2 Fuzzy Soft Sets and Their Applications in Decision Making |
| title_fullStr | Type-2 Fuzzy Soft Sets and Their Applications in Decision Making |
| title_full_unstemmed | Type-2 Fuzzy Soft Sets and Their Applications in Decision Making |
| title_short | Type-2 Fuzzy Soft Sets and Their Applications in Decision Making |
| title_sort | type 2 fuzzy soft sets and their applications in decision making |
| url | http://dx.doi.org/10.1155/2012/608681 |
| work_keys_str_mv | AT zhimingzhang type2fuzzysoftsetsandtheirapplicationsindecisionmaking AT shouhuazhang type2fuzzysoftsetsandtheirapplicationsindecisionmaking |