ON N-SOFT HYPERGRAPH
DOI:
https://doi.org/10.25077/jmua.15.3.418-426.2026Keywords:
Himpunan Lembut, Himpunan N-Lembut, Hipergraf N-Lembut, Hipergraf N-Lembut Kuat Lengkap, Komplemen Hipergraf N-LembutAbstract
In this paper we explore the notion of N-soft hypergraphs, which is an hybridization of N-soft set and hypergraph. Next, we define strong N-soft hypergraphs, and induced complete N-soft hypergraphs. We present the definitions of some of their unary operations and examine their properties. Then, we give illustration on how N-soft hypergraph will be applied in portray real-life problem.
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References
[1] L. Zadeh, Fuzzy sets, Information and Control,
vol. 8, no. 3, pp. 338-353, 1965. [Online]. Available:
https://www.sciencedirect.com/science/article/pii/S001999586590241X
[2] D. Molodtsov, Soft set theory-first results, Computers & Mathematics With
Applications, 1999.
[3] T. Herawan and M. M. Deris, On multi-soft sets construction in information
systems, in International conference on intelligent computing. Springer, 2009,
pp. 101-110.
[4] F. Fatimah, N-soft sets: Literature reviewand research potential, in Proceeding International Seminar of Science and Technology, vol. 1, 2021, pp. 27-39.
[5] A. R. Roy and P. Maji, A fuzzy soft set theoretic approach to decision making
problems, Journal of computational and Applied Mathematics, vol. 203, no. 2,
pp. 412-418, 2007.
[6] F. Fatimah, D. Rosadi, R. F. Hakim, and J. C. R. Alcantud, N-soft sets
10 Nama Penulis
and their decision making algorithms, Soft Computing, vol. 22, no. 12, pp.
3829-3842, 2018.
[7] I. Demir, N-soft mappings with application in medical diagnosis, Mathematical Methods in the Applied Sciences, vol. 44, no. 8, pp. 7343-7358, 2021. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.7266
[8] H. Kamaci, B. Palpandi, S. Petchimuthu, and M. F. Banu, m-polar
n-soft set and its application in multi-criteria decision-making: m-polar
n-soft set and its application..: H. kamaci et al. Computational and
Applied Mathematics, vol. 44, pp. 1-46, 2 2025. [Online]. Available:
https://link.springer.com/article/10.1007/s40314-024-03029-2
[9] M. Riaz, A. Razzaq, M. Aslam, and D. Pamucar, M-parameterized
n-soft topology-based topsis approach for multi-attribute decision making, Symmetry 2021, Vol. 13, Page 748, vol. 13, p. 748, 4
2021. [Online]. Available: https://www.mdpi.com/2073-8994/13/5/748/htm
https://www.mdpi.com/2073-8994/13/5/748
[10] A. Bretto, Hypergraph theory, An introduction. Mathematical Engineering.
Cham: Springer, vol. 1, pp. 209-216, 2013.
[11] M. Akram and A. Luqman, Fuzzy hypergraphs and related extensions.
Springer, 2020.
[12] H. Lee-Kwang and K.-M. Lee, Fuzzy hypergraph and fuzzy partition, IEEE
Transactions on Systems, Man, and Cybernetics, vol. 25, no. 1, pp. 196-201,
1995.
[13] K. Myithili and R. Beulah, Recognizing emotions using elementary
hyperedges in intuitionistic fuzzy soft hypergraphs, Bulletin of Pure and
Applied Sciences- Math& Stat., pp. 108-120, 2 2025. [Online]. Available:
https://bpasjournals.com/math-and-stat/index.php/journal/article/view/252
[14] S. Thilagavathi, S. Thilagavathi, and . ., Intuitionistic fuzzy
soft hypergraph, International Journal of Engineering and Technology, vol. 7, pp. 313-315, 10 2018. [Online]. Available:
https://www.sciencepubco.com/index.php/IJET/article/view/20921
[15] G. Shahzadi and M. Akram, Hypergraphs based on pythagorean fuzzy soft
model, Mathematical and Computational Applications 2019, Vol. 24, Page
100, vol. 24, p. 100, 11 2019. [Online]. Available: https://www.mdpi.com/2297-
8747/24/4/100/htm https://www.mdpi.com/2297-8747/24/4/100
[16] B. George, J. Jose, and R. K. Thumbakara, An introduction to soft hypergraphs, Journal of Prime Research in Mathematics, vol. 18, no. 1, pp. 43-59,
2022.
[17] Journal of Prime Research in Mathematics, vol. 18,
no. 1, p. 43 - 59, Jun. 2022. [Online]. Available:
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