Discussion on Entropy and Similarity Measures and Their Few Applications Because of Vague Soft Sets
DOI:
https://doi.org/10.31181/sa21202423Keywords:
Vague soft set, Entropy measure, Similarity measure, Interval vague soft setsAbstract
This study focuses on two crucial techniques that are used for measurements. These techniques are introduced in vague soft sets concerning crisp points of the space. Relevant examples support these strategies.
References
[1] Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X
[2] Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy sets and systems, 20(1), 87–96. https://doi.org/10.1007/978-3-7908-1870-3_1
[3] De, S. K., Biswas, R., & Roy, A. R. (2001). An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy sets and systems, 117(2), 209–213. https://doi.org/10.1016/S0165-0114(98)00235-8
[4] Atanassov, K. T. (1999). Intuitionistic fuzzy sets. (pp. 1-137), Springer. https://doi.org/10.1007/978-3-7908-1870-3_1
[5] Atanassov, K. T. (2012). On intuitionistic fuzzy sets theory (Vol. 283). Springer. https://books.google.com/books?id=Jh25BQAAQBAJ&dq
[6] Harish, G. (2018). An improved cosine similarity measure for intuitionistic fuzzy sets and their applications to decision-making process. Hacettepe journal of mathematics and statistics, 47(6), 1578–1594. https://dergipark.org.tr/en/pub/hujms/issue/41011/494848
[7] Liu, D., Chen, X., Peng, D., & others. (2018). Cosine similarity measure between hybrid intuitionistic fuzzy sets and its application in medical diagnosis. Computational and mathematical methods in medicine. https://doi.org/10.1155/2018/3146873
[8] Chen, S.-M. (1988). A new approach to handling fuzzy decision-making problems. IEEE transactions on systems, man, and cybernetics, 18(6), 1012–1016. https://doi.org/10.1109/21.23100
[9] Molodtsov, D. (1999). Soft set theory—first results. Computers & mathematics with applications, 37(4–5), 19–31. https://doi.org/10.1016/S0898-1221(99)00056-5
[10] Maji, P. K., Roy, A. R., & Biswas, R. (2002). An application of soft sets in a decision making problem. Computers & mathematics with applications, 44(8–9), 1077–1083. https://core.ac.uk/download/pdf/82179651.pdf
[11] Maji, P. K., Biswas, R., & Roy, A. R. (2003). Soft set theory. Computers & mathematics with applications, 45(4–5), 555–562. https://doi.org/10.1016/S0898-1221(03)00016-6
[12] Roy, A. R., & Maji, P. K. (2007). A fuzzy soft set theoretic approach to decision making problems. Journal of computational and applied mathematics, 203(2), 412–418. https://doi.org/10.1016/j.cam.2006.04.008
[13] Majumdar, P., & Samanta, S. K. (2008). Similarity measure of soft sets. New mathematics and natural computation, 4(1), 1–12. https://doi.org/10.1142/S1793005708000908
[14] Hu, D., Hong, Z., Wang, Y., & others. (2014). A new approach to entropy and similarity measure of vague soft sets. The scientific world journal, 2014. https://doi.org/10.1155/2014/610125
[15] Kharal, A. (2010). Distance and similarity measures for soft sets. New mathematics and natural computation, 6(03), 321–334. https://doi.org/10.1142/S1793005710001724
[16] Mehmood, A., Afzal, F., Abdullah, S., Khan, M. I., & Gul, S. (2021). An Absolutely New Attempt to Vague Soft Bitopological Spaces Basis at Newly Defined Operations regarding Vague Soft Points. Mathematical problems in engineering, 2021, 1–11. https://doi.org/10.1155/2021/4408754
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