A Study on Unemployment Crisis in the Southern States of India via Neutrosophic Binary Sets based on Similarity Measure
Abstract
Neutrosophic binary sets which is the extension of neutrsophic sets deals with two universal sets of uncertainity. Since its introduction, it is highlighted both in theory and applications. The present focus is to propose the similarity measure based on distance between two neutrosophic binary sets. In addition, distance measure and metric axioms are verified. Finally, using this similarity measure of neutrosophic binary set, the decision making method is formulated and an example is illustrated to demonstrate the decision making method in finding the state which has higher unemployment rate.
References
1. A.A. Salama and S.A. Blowi; Correlation of Neutrosophic Data. International Refereed Journal of Engineering and Science, 1(2), 39-43 (2012).
2. A. Kharal; A Neutrosophic Multicriteria Decision Making Method. New Mathematics and Natural Computation, Creighton University, USA (2013).
3. H.D. Cheng and Y. Guo; A New Neutrosophic Approach to Image Thresholding. New Mathematics and Natural Computation, 4(3), 291–308 (2008).
4. H. Wang; F. Smarandache; Y.Q. Zhang and R. Sunderraman; Single Valued Neutrosophic Sets. Multispace and Multistructure, 4, 410–413 (2010).
5. H. Wang; F. Smarandache; Y.Q. Zhang and R. Sunderraman; Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, Hexis, Phoenix, AZ, (2005).
6. J. Ye; Multicriteria Decision-Making Method using the Correlation Coefficient under Single-Valued Neutrosophic Environment. International Journal of General Systems, 42(4), 386-394 (2013).
7. J. Ye; Single Valued Neutrosophic Cross Entropy for Multicriteria Decision Making Problems. Applied Mathematical Modeling, 38, 1170-1175 (2014).
8. J. Ye; Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making. International Journal of Fuzzy Systems, 16(2), 204- 215 (2014).
9. J. Ye, and Q. Zhang; Single Valued Neutrosophic Similarity Measures for Multiple Attribute Decision- Making. Neutrosophic Sets and System, 2, 48-54 (2012).
10. J. Ye ; Similarity Measures Between Interval Neutrosophic Sets and Their Multicriteria Decision-Making Method. Journal of Intelligent and Fuzzy Systems, 26, 165-172 (2014).
11.K. Mondal and S. Pramanik. A Study on Problems of Hijras in West Bengal Based on Neutrosophic Cognitive Maps. Neutrosophic Sets and Systems, 5, 21-26 (2014).
12. K. Mondal and S. Pramanik; Multi-Criteria Group Decision Making Approach for Teacher Recruitment in Higher Education under Simplified Neutrosophic Environment. Neutrosophic Sets and Systems, 6, 28-34 (2014).
13. K. Mondal and S. Pramanik.; Neutrosophic Decision Making Model of School Choice. Neutrosophic Sets and Systems, 7, 62-68 (2015).
14.M. Zhang; L. Zhang, and H.D. Cheng ; A Neutrosophic Approach to Image Segmentation Based on Watershed Method. Signal Processing, 90(5), 1510-1517 (2010).
15.P. Biswas; S. Pramanik and B.C. Giri; A New Methodology for Neutrosophic Multi-Attribute Decision Making with Unknown Weight Information. Neutrosophic Sets and Systems, 3, 42-52 (2014).
16. P. Biswas; S. Pramanik and B.C. Giri; Cosine Similarity Measure Based Multi-Attribute Decision-Making with Trapezoidal Fuzzy Neutrosophic Numbers, Neutrosophic Sets and System, 8, 47-58 (2015).
17. P. Majumder and S. K. Samanta; On Similarity and Entropy of Neutrosophic Sets. Journal of Intelligent and Fuzzy Systems, 26, 1245–1252 (2014).
18. S. Broumi and F. Smarandache; Several Similarity Measures of Neutrosophic Sets. Neutrosophic Sets and Systems, 1, 54-62 (2013).
19. S. Broumi and F. Smarandache; (2013) Correlation Coefficient of Interval Neutrosophic Set. Periodical of Applied Mechanics and Materials Engineering Decisions and Scientific Research in Aerospace, Robotics, Biomechanics, Mechanical Engineering and Manufacturing; Proceedings of the International Conference ICMERA, 436, 511-517.
20. S. Pramanik and S.N. Chackrabarti; A Study on Problems of Construction Workers in West Bengal Based on Neutrosophic Cognitive Maps. International Journal of Innovative Research in Science, Engineering and Technology, 2(11) , 6387-6394 (2013).
21. S. Pramanik and T.K. Roy; Neutrosophic Game Theoretic Approach to Indo-Pak Conflict Over Jammu- Kashmir. Neutrosophic Sets and Systems, 2, 82-101 (2014).
22. S.S. Surekha; J. Elekiah and G. Sindhu; A Study on Neutrosophic Binary Topological space. Stochastic Modelling and Applications, 26(3), 479-486 (2022).
23.S. Ye and J.Y. Dice; Similarity Measure Between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis. Neutrosophic Sets and Systems, 6, 49-54 (2014).
24. Y. Guo, and H.D. Cheng; New Neutrosophic Approach to Image Segmentation. Pattern Recognition, 42, 587– 595 (2009).
S.S. Surekha and G. Sindhu
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