Karakteristik Subsemiring Fuzzy
DOI:
https://doi.org/10.14421/fourier.2020.91.19-23Keywords:
Semiring, subsemiring, fuzzy subset, level subset, fuzzy subsemiringAbstract
Dalam tulisan ini, didefinisikan subsemiring fuzzy dan menyelidiki sifat yang terkait. Selain itu, diperkenalkan konsep subsemiring yang diinduksi dari level subset. Akhirnya, karakteristik subsemiring fuzzy diperoleh.
[In this paper, we define the notion of fuzzy subsemiring and investigate the related properties. Moreover, we introduce the idea of a subsemiring induced from the level subset. Finally, a characterization of a fuzzy subsemiring is obtained.]
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References
[1] A. Rosenfeld, 1971, Fuzzy groups, J. Math. Anal. Appl., vol. 35, no. 3, pp. 512–517.
[2] L. A. Zadeh, 1965, Fuzzy Sets, Inf. Control, vol. 8, no. 3, pp. 338–353.
[3] D. Mandal, 2014, Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings, Fuzzy Inf. Eng, vol. 6, pp. 101–114.
[4] S. Abdurrahman, 2019, Image ( Pre-image ) Homomorfisme Interior Subgrup Fuzzy,” vol. 8, no. 1, pp. 15–18.
[5] Y. B. Jun, M. Sapanci, and M. A. Öztürk, 1998, Fuzzy ideals in gamma near-rings, Turkish J. Math., vol. 22, no. 4, pp. 449–459.
[6] S. Abdurrahman, “Interior Subgrup Fuzzy,” J. Fourier, vol. 7, no. 1, pp. 13–21, 2018.
[7] J. Ahsan, J. N. Mordeson, and M. Shabir, 2012, Fuzzy Semirings with Applications to Automata Theory. Springer Berlin Heidelberg New York Dordrecht London.
[8] R. D. Jagatap, 2014, Right k -Weakly Regular ? -Semirings, Hindawi Publ. Corp. Algebr., vol. 2014, pp. 1-5.
[9] J. Mordeson and K. R. Bhutani, 2005, Fuzzy Subsets and Fuzzy Subgroups, in Group, vol. 39, no. X, pp. 1–39.
[2] L. A. Zadeh, 1965, Fuzzy Sets, Inf. Control, vol. 8, no. 3, pp. 338–353.
[3] D. Mandal, 2014, Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings, Fuzzy Inf. Eng, vol. 6, pp. 101–114.
[4] S. Abdurrahman, 2019, Image ( Pre-image ) Homomorfisme Interior Subgrup Fuzzy,” vol. 8, no. 1, pp. 15–18.
[5] Y. B. Jun, M. Sapanci, and M. A. Öztürk, 1998, Fuzzy ideals in gamma near-rings, Turkish J. Math., vol. 22, no. 4, pp. 449–459.
[6] S. Abdurrahman, “Interior Subgrup Fuzzy,” J. Fourier, vol. 7, no. 1, pp. 13–21, 2018.
[7] J. Ahsan, J. N. Mordeson, and M. Shabir, 2012, Fuzzy Semirings with Applications to Automata Theory. Springer Berlin Heidelberg New York Dordrecht London.
[8] R. D. Jagatap, 2014, Right k -Weakly Regular ? -Semirings, Hindawi Publ. Corp. Algebr., vol. 2014, pp. 1-5.
[9] J. Mordeson and K. R. Bhutani, 2005, Fuzzy Subsets and Fuzzy Subgroups, in Group, vol. 39, no. X, pp. 1–39.
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Published
2020-04-30
How to Cite
Abdurrahman, S. (2020). Karakteristik Subsemiring Fuzzy. Jurnal Fourier, 9(1), 19–23. https://doi.org/10.14421/fourier.2020.91.19-23
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