Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis
Soft set theory is a newly emerging mathematical tool to deal with uncertain problems. In this paper, by introducing a generalization parameter, which itself is trapezoidal fuzzy, we define generalized trapezoidal fuzzy soft sets and then study some of their properties. Finally, applications of gene...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/312069 |
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| _version_ | 1832552059411365888 |
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| author | Haidong Zhang Lan Shu Shilong Liao |
| author_facet | Haidong Zhang Lan Shu Shilong Liao |
| author_sort | Haidong Zhang |
| collection | DOAJ |
| description | Soft set theory is a newly emerging mathematical tool to deal with uncertain problems. In this paper, by introducing a generalization parameter, which itself is trapezoidal fuzzy, we define generalized trapezoidal fuzzy soft sets and then study some of their properties. Finally, applications of generalized trapezoidal fuzzy soft sets in a decision making problem and medical diagnosis problem are shown. |
| format | Article |
| id | doaj-art-fe2ae4083fa24dc7afdd734b34ca2fd0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fe2ae4083fa24dc7afdd734b34ca2fd02025-02-03T05:59:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/312069312069Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical DiagnosisHaidong Zhang0Lan Shu1Shilong Liao2School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, Gansu 730030, ChinaSoft set theory is a newly emerging mathematical tool to deal with uncertain problems. In this paper, by introducing a generalization parameter, which itself is trapezoidal fuzzy, we define generalized trapezoidal fuzzy soft sets and then study some of their properties. Finally, applications of generalized trapezoidal fuzzy soft sets in a decision making problem and medical diagnosis problem are shown.http://dx.doi.org/10.1155/2014/312069 |
| spellingShingle | Haidong Zhang Lan Shu Shilong Liao Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis Journal of Applied Mathematics |
| title | Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis |
| title_full | Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis |
| title_fullStr | Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis |
| title_full_unstemmed | Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis |
| title_short | Generalized Trapezoidal Fuzzy Soft Set and Its Application in Medical Diagnosis |
| title_sort | generalized trapezoidal fuzzy soft set and its application in medical diagnosis |
| url | http://dx.doi.org/10.1155/2014/312069 |
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