Similarity Measure and Entropy of Fuzzy Soft Sets
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. Recently, uncertainty measures of soft sets and fuzzy soft sets have gained attentions from researchers. This paper is devoted to the study of uncertainty measures of fuzzy soft se...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/161607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849413067882889216 |
|---|---|
| author | Zhicai Liu Keyun Qin Zheng Pei |
| author_facet | Zhicai Liu Keyun Qin Zheng Pei |
| author_sort | Zhicai Liu |
| collection | DOAJ |
| description | Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. Recently, uncertainty measures of soft sets and fuzzy soft sets have gained attentions from researchers. This paper is devoted to the study of uncertainty measures of fuzzy soft sets. The axioms for similarity measure and entropy are proposed. A new category of similarity measures and entropies is presented based on fuzzy equivalence. Our approach is general in the sense that by using different fuzzy equivalences one gets different similarity measures and entropies. The relationships among these measures and the other proposals in the literatures are analyzed. |
| format | Article |
| id | doaj-art-5d2d947bf1024edbb0d612e26d6a6d21 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5d2d947bf1024edbb0d612e26d6a6d212025-08-20T03:34:14ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/161607161607Similarity Measure and Entropy of Fuzzy Soft SetsZhicai Liu0Keyun Qin1Zheng Pei2College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, ChinaCollege of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, ChinaCenter for Radio Administration and Technology Development, Xihua University, Chengdu, Sichuan 610039, ChinaSoft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. Recently, uncertainty measures of soft sets and fuzzy soft sets have gained attentions from researchers. This paper is devoted to the study of uncertainty measures of fuzzy soft sets. The axioms for similarity measure and entropy are proposed. A new category of similarity measures and entropies is presented based on fuzzy equivalence. Our approach is general in the sense that by using different fuzzy equivalences one gets different similarity measures and entropies. The relationships among these measures and the other proposals in the literatures are analyzed.http://dx.doi.org/10.1155/2014/161607 |
| spellingShingle | Zhicai Liu Keyun Qin Zheng Pei Similarity Measure and Entropy of Fuzzy Soft Sets The Scientific World Journal |
| title | Similarity Measure and Entropy of Fuzzy Soft Sets |
| title_full | Similarity Measure and Entropy of Fuzzy Soft Sets |
| title_fullStr | Similarity Measure and Entropy of Fuzzy Soft Sets |
| title_full_unstemmed | Similarity Measure and Entropy of Fuzzy Soft Sets |
| title_short | Similarity Measure and Entropy of Fuzzy Soft Sets |
| title_sort | similarity measure and entropy of fuzzy soft sets |
| url | http://dx.doi.org/10.1155/2014/161607 |
| work_keys_str_mv | AT zhicailiu similaritymeasureandentropyoffuzzysoftsets AT keyunqin similaritymeasureandentropyoffuzzysoftsets AT zhengpei similaritymeasureandentropyoffuzzysoftsets |