Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear
Yıl: 2018 Cilt: 68 Sayı: 2 Sayfa Aralığı: 136 - 140 Metin Dili: İngilizce DOI: 10.26650/forestist.2018.340634 İndeks Tarihi: 10-02-2020
Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear
Öz: The various diversity measures used to measure biodiversity include the Margalef index, McIntosh index,Simpson index, Brillouin index, and Shannon entropy. Of these measures, the most popular is Shannon entropy(H). In this study, with respect to measuring biodiversity, we compare Shannon entropy-the essential aspectof information theory-with the Deng and improved Deng entropies, as proposed within the frameworkof the Dempster–Shafer evidential theory. To do so, we used a hypothetical dataset of three complexes. Basedon this hypothetic data, ecologically speaking, we obtained the most reasonable result from the improvedDeng entropy. There are two reasons for this result: 1) Mass functions cannot be used when computing theShannon entropy, and 2) Deng entropy does not take into consideration the scale of the frame of discernment.
Anahtar Kelime: Konular:
Öncü verinin belirsizliği durumunda biyoçeşitliğin belirlenmesinde Shannon entropisinin Deng entropisi ve geliştirilmiş Deng Entropisi ile karşılaştırılması
Öz: Biyolojik çeşitliliğin belirlenmesinde Margalef indeksi, McIntosh indeksi, Simpson indeksi, Brillouin indeksi ve Shannon entropisi gibi birçok çeşitlilik indisi kullanılmaktadırlar. Bu indisler arasındaki en popular olanı Shannon entropisidir. Bu çalışma biyolojik çeşitliğin ölçümüne yönelik olarak bilgi teorisinin temel eşitliği olan Shannon entropis ile Demster-Shafer Delil Teorisi’nin ölçümlerinden olan Deng entropisi ve Geliştirilmiş Deng entropisini karşılaştırmak için gerçekleştirilmiştir. Çalışmada 3 kompleksten oluşan hipotetik bir veri kullanılmıştır. Kullanılan hipotetik veri ile gerçekleştirilen hesaplamaların sonucunda, ekolojik açıdan en makul sonuçlar Geliştirilmiş Deng entropisi ile elde edilmiştir. Bu sonucun iki sebebi bulunmaktadır. Birincisi Shannon entropisi hesaplanırken kütle fonksiyonları kullanılamamaktadır. İkincisi ise Deng entropisinin sezgisel yapı ölçeğini dikkate almamasıdır
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Diğer Erişim Türü: Erişime Açık
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| APA | ÖZKAN K (2018). Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. , 136 - 140. 10.26650/forestist.2018.340634 |
| Chicago | ÖZKAN Kürşad Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. (2018): 136 - 140. 10.26650/forestist.2018.340634 |
| MLA | ÖZKAN Kürşad Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. , 2018, ss.136 - 140. 10.26650/forestist.2018.340634 |
| AMA | ÖZKAN K Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. . 2018; 136 - 140. 10.26650/forestist.2018.340634 |
| Vancouver | ÖZKAN K Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. . 2018; 136 - 140. 10.26650/forestist.2018.340634 |
| IEEE | ÖZKAN K "Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear." , ss.136 - 140, 2018. 10.26650/forestist.2018.340634 |
| ISNAD | ÖZKAN, Kürşad. "Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear". (2018), 136-140. https://doi.org/10.26650/forestist.2018.340634 |
| APA | ÖZKAN K (2018). Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. FORESTIST, 68(2), 136 - 140. 10.26650/forestist.2018.340634 |
| Chicago | ÖZKAN Kürşad Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. FORESTIST 68, no.2 (2018): 136 - 140. 10.26650/forestist.2018.340634 |
| MLA | ÖZKAN Kürşad Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. FORESTIST, vol.68, no.2, 2018, ss.136 - 140. 10.26650/forestist.2018.340634 |
| AMA | ÖZKAN K Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. FORESTIST. 2018; 68(2): 136 - 140. 10.26650/forestist.2018.340634 |
| Vancouver | ÖZKAN K Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear. FORESTIST. 2018; 68(2): 136 - 140. 10.26650/forestist.2018.340634 |
| IEEE | ÖZKAN K "Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear." FORESTIST, 68, ss.136 - 140, 2018. 10.26650/forestist.2018.340634 |
| ISNAD | ÖZKAN, Kürşad. "Comparing Shannon entropy with Deng entropy and improved Deng entropy for measuring biodiversity when a priori data is not clear". FORESTIST 68/2 (2018), 136-140. https://doi.org/10.26650/forestist.2018.340634 |
