On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies
We introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/972198 |
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| _version_ | 1832564422942392320 |
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| author | Tanuj Kumar Rakesh Kumar Bajaj |
| author_facet | Tanuj Kumar Rakesh Kumar Bajaj |
| author_sort | Tanuj Kumar |
| collection | DOAJ |
| description | We introduce the concept of complex
intuitionistic fuzzy soft sets which is parametric in nature. However, the theory
of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the
parametrization tools. Some real life problems, for example, multicriteria decision making
problems, involve the parametrization tools. In order to get their new entropies,
some important properties and operations on the complex intuitionistic fuzzy soft
sets have also been discussed. On the basis of some well-known distance measures,
some new distance measures for the complex intuitionistic fuzzy soft sets have
also been obtained. Further, we have established correspondence between the
proposed entropies and the distance measures of complex intuitionistic fuzzy soft
sets. |
| format | Article |
| id | doaj-art-aded82a5c3d04ca0b19adcf14323be08 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-aded82a5c3d04ca0b19adcf14323be082025-02-03T01:11:07ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/972198972198On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and EntropiesTanuj Kumar0Rakesh Kumar Bajaj1Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh 173234, IndiaDepartment of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh 173234, IndiaWe introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems, involve the parametrization tools. In order to get their new entropies, some important properties and operations on the complex intuitionistic fuzzy soft sets have also been discussed. On the basis of some well-known distance measures, some new distance measures for the complex intuitionistic fuzzy soft sets have also been obtained. Further, we have established correspondence between the proposed entropies and the distance measures of complex intuitionistic fuzzy soft sets.http://dx.doi.org/10.1155/2014/972198 |
| spellingShingle | Tanuj Kumar Rakesh Kumar Bajaj On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies Journal of Mathematics |
| title | On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies |
| title_full | On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies |
| title_fullStr | On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies |
| title_full_unstemmed | On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies |
| title_short | On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies |
| title_sort | on complex intuitionistic fuzzy soft sets with distance measures and entropies |
| url | http://dx.doi.org/10.1155/2014/972198 |
| work_keys_str_mv | AT tanujkumar oncomplexintuitionisticfuzzysoftsetswithdistancemeasuresandentropies AT rakeshkumarbajaj oncomplexintuitionisticfuzzysoftsetswithdistancemeasuresandentropies |