Research Article

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

Volume: 23 Number: 1 April 1, 2019
TR EN

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

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 1, 2019

Submission Date

July 5, 2018

Acceptance Date

January 14, 2019

Published in Issue

Year 2019 Volume: 23 Number: 1

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. J. Nat. Appl. Sci. 2019;23(1):40-45. doi:10.19113/sdufenbed.441089
Chicago
Aydoğdu, Ali, and 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 (April 1, 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 and R. Şahin, “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”, J. Nat. Appl. Sci., vol. 23, no. 1, pp. 40–45, Apr. 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 (April 1, 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. J. Nat. Appl. Sci. 2019;23:40–45.
MLA
Aydoğdu, Ali, and Rıdvan Şahin. “New Entropy Measures Based on Neutrosophic Set and Their Applications to Multi-Criteria Decision Making”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, Apr. 2019, pp. 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. J. Nat. Appl. Sci. 2019 Apr. 1;23(1):40-5. doi:10.19113/sdufenbed.441089

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