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New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making

Cilt: 23 Sayı: 1 1 Nisan 2019
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New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making

Öz

Our aim in this work is to obtain two new entropy measures for single valued neutrosophic sets (SVNSs) and interval neutrosophic sets (INSs). Moreover, we give the essential properties of the proposed entropies. Finally, we introduce a numerical example to show that the entropy measures are more reliable and reasonable for representing the degree of uncertainty.

Anahtar Kelimeler

Kaynakça

  1. [1] Smarandache, F. 1998. A unifying field in logics. neutrosophy: Neutrosophic probability, set and logic, American Research Press, Rehoboth, 157p.
  2. [2] Smarandache, F. 2005. A generalization of the intuitionistic fuzzy set. International journal of Pure and Applied Mathematics, 24(2005), 287-297.
  3. [3] Wang, H., Smarandache, F., Zhang Y.Q., Sunderraman, R. 2005. Single valued neutrosophic sets, in Proc. of 10th Int. Conf. on Fuzzy Theory and Technology, July 21-26, Salt Lake City, Utah.
  4. [4] Wang, H., Smarandache, F., Zhang Y.Q., Sunderraman, R. 2005. Interval neutrosophic sets and logic: Theory and applications in computing', Hexis, Phoenix, AZ, 99p.
  5. [5] Zadeh, L.A . 1965. Fuzzy sets. Information and Control, 8(1965), 338-356.
  6. [6] De Luca, A., Termini, S. 1972. A definition of nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control, 20(1972), 301-312.
  7. [7] Shannon, C.E., 1948. A mathematical theory of communication. Bell system technical journal, 27(3), 379-423.
  8. [8] Burillo, P. Bustince, H., 1996. Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy sets and systems, 78(3), 305-316.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Nisan 2019

Gönderilme Tarihi

5 Temmuz 2018

Kabul Tarihi

14 Ocak 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 23 Sayı: 1

Kaynak Göster

APA
Aydoğdu, A., & Şahin, R. (2019). New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(1), 40-45. https://doi.org/10.19113/sdufenbed.441089
AMA
1.Aydoğdu A, Şahin R. New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2019;23(1):40-45. doi:10.19113/sdufenbed.441089
Chicago
Aydoğdu, Ali, ve Rıdvan Şahin. 2019. “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 (1): 40-45. https://doi.org/10.19113/sdufenbed.441089.
EndNote
Aydoğdu A, Şahin R (01 Nisan 2019) New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 1 40–45.
IEEE
[1]A. Aydoğdu ve R. Şahin, “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 23, sy 1, ss. 40–45, Nis. 2019, doi: 10.19113/sdufenbed.441089.
ISNAD
Aydoğdu, Ali - Şahin, Rıdvan. “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/1 (01 Nisan 2019): 40-45. https://doi.org/10.19113/sdufenbed.441089.
JAMA
1.Aydoğdu A, Şahin R. New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2019;23:40–45.
MLA
Aydoğdu, Ali, ve Rıdvan Şahin. “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 23, sy 1, Nisan 2019, ss. 40-45, doi:10.19113/sdufenbed.441089.
Vancouver
1.Ali Aydoğdu, Rıdvan Şahin. New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2019;23(1):40-5. doi:10.19113/sdufenbed.441089

Cited By

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

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