On Intuitionistic Fuzzy Entropy of Order-α
Using the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2014/789890 |
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| _version_ | 1849400755506642944 |
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| author | Rajkumar Verma BhuDev Sharma |
| author_facet | Rajkumar Verma BhuDev Sharma |
| author_sort | Rajkumar Verma |
| collection | DOAJ |
| description | Using the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis. Our study of the four essential and some other properties of the proposed measure clearly establishes the validity of the measure as intuitionistic fuzzy entropy. Finally, a numerical example is given to show that the proposed entropy measure for intuitionistic fuzzy set is reasonable by comparing it with other existing entropies. |
| format | Article |
| id | doaj-art-8ddedced05c84dc99529ec259f36dbb8 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-8ddedced05c84dc99529ec259f36dbb82025-08-20T03:37:56ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2014-01-01201410.1155/2014/789890789890On Intuitionistic Fuzzy Entropy of Order-αRajkumar Verma0BhuDev Sharma1Department of Applied Sciences, HMR Institute of Technology and Management, Guru Gobind Singh Indraprastha University, Hamidpur, Delhi-110036, IndiaDepartment of Mathematics, Jaypee Institute of Information Technology (Deemed University), A-10, Sector 62, Noida-201307, Uttar Pradesh, IndiaUsing the idea of Rènyi’s entropy, intuitionistic fuzzy entropy of order-α is proposed in the setting of intuitionistic fuzzy sets theory. This measure is a generalized version of fuzzy entropy of order-α proposed by Bhandari and Pal and intuitionistic fuzzy entropy defined by Vlachos and Sergiadis. Our study of the four essential and some other properties of the proposed measure clearly establishes the validity of the measure as intuitionistic fuzzy entropy. Finally, a numerical example is given to show that the proposed entropy measure for intuitionistic fuzzy set is reasonable by comparing it with other existing entropies.http://dx.doi.org/10.1155/2014/789890 |
| spellingShingle | Rajkumar Verma BhuDev Sharma On Intuitionistic Fuzzy Entropy of Order-α Advances in Fuzzy Systems |
| title | On Intuitionistic Fuzzy Entropy of Order-α |
| title_full | On Intuitionistic Fuzzy Entropy of Order-α |
| title_fullStr | On Intuitionistic Fuzzy Entropy of Order-α |
| title_full_unstemmed | On Intuitionistic Fuzzy Entropy of Order-α |
| title_short | On Intuitionistic Fuzzy Entropy of Order-α |
| title_sort | on intuitionistic fuzzy entropy of order α |
| url | http://dx.doi.org/10.1155/2014/789890 |
| work_keys_str_mv | AT rajkumarverma onintuitionisticfuzzyentropyofordera AT bhudevsharma onintuitionisticfuzzyentropyofordera |