On Pythagorean Neutrosophic Implicative $UP$-Filters
DOI:
https://doi.org/10.5269/bspm.82921Resumo
In this paper, we introduce the notion of Pythagorean neutrosophic implicative $UP$-filters in $UP$-algebras and examine their fundamental properties. We further explore the relationship between Pythagorean neutrosophic implicative $UP$-filters and Pythagorean neutrosophic $UP$-filters. In addition, we establish the concepts of the complement and the level subset associated with a Pythagorean neutrosophic implicative $UP$-filter.
Referências
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\bibitem{p516} M. A. Ansari, A. Haidar and A. N. A. Koam, {\it On a graph associated to $UP$-algebras}, Math. Comput. Appl., {\it 23} (4) (2018).
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\bibitem{p523} T. Gaketem, P. Khamrot and A. Iampan, {\it Essential $UP$-filters and $t$-essential fuzzy $UP$-filters of $UP$-algebras}, ICIC Express Letters, {\bf 16} (10) (2022), 1057-1062.
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\bibitem{p514} A. Iampan, {\it Introducing fully $UP$-semigroups, Discuss. Math., Gen. Algebra Appl.}, {\bf 38} (2) (2018), 297-306.
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\bibitem{p57} Y. B. Jun and A. Iampan, {\it Comparative and allied $UP$-filters}, Lobachevskii J. Math., {\bf 40} (1) (2019), 60-66.
\bibitem{p521} Y. B. Jun and A. Iampan, {\it Implicative $UP$-filters}, Afr. Mat., {\bf 30} (2019), 1093-1101.
\bibitem{p510} B. Kesorn, K. Maimum, W. Ratbandan and A. Iampan, {\it Intuitionistic fuzzy sets in $UP$-algebra}, Ital. J. Pure Appl. Math., {\bf 34} (2015), 339-364.
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\bibitem{p519} A. Satirad, P. Mosrijai and A. Iampan, {\it Formulas for finding $UP$-algebras}, Int. J. Math. Comput. Sci., {\bf 14} (2) (2019), 403-409.
\bibitem{p520} A. Satirad, P. Mosrijai and A. Iampan, {\it Generalized power $UP$-algebras}, Int. J. Math. Comput. Sci., {\bf 14} (1) (2019), 17-25.
\bibitem{p56} J. Somjanta, N. Thuekaew, P. Kumpeangkeaw and A. Iampan, {\it Fuzzy sets in $UP$-algebras}, Ann. Fuzzy Math. Inform., {\bf 12} (2016), 739-756.
\bibitem{p513} M. Songsaeng, K. P. Shum, R. Chinram and A. Iampan, {\it Neutrosophic implicative $UP$-filters, neutrosophic comparative $UP$-filters, and neutrosophic shift $UP$-filters of $UP$-algebras}, Neutrosophic Sets Syst., {\bf 47} (2021), 620-643.
\bibitem{p511} N. Thongngam and A. Iampan, {\it A novel approach to intuitionistic fuzzy sets in $UP$-algebras}, Korean J. Math., {\bf 27} (4) (2019), 1077-1108.
\bibitem{p58} L. A. Zadeh, {\it Fuzzy sets}, Inf. Control, {\bf 8} (3) (1965), 338-353.
\bibitem{p515} M. A. Ansari, A. N. A. Koam and A. Haider, {\it Rough set theory applied to $UP$-algebras}, Ital. J. Pure Appl. Math., {\bf 42} (2019), 388-402.
\bibitem{p516} M. A. Ansari, A. Haidar and A. N. A. Koam, {\it On a graph associated to $UP$-algebras}, Math. Comput. Appl., {\it 23} (4) (2018).
\bibitem{p518} M. A. Ansari, A. N. A. Koam and A. Haider, {\it On binary block codes associated to $UP$-algebras}, Ital. J. Pure Appl. Math., {\bf 47} (2022), 205-220.
\bibitem{p59} K. T. Atanassov, {\it Intuitionistic fuzzy sets}, Fuzzy Sets Syst., {\bf 35} (1986), 87-96.
\bibitem{p517} N. Dokkhamdang, A. Kesorn and A. Iampan, {\it Generalized fuzzy sets in $UP$-algebras}, Ann. Fuzzy Math. Inform., {\bf 16} (2) (2018), 171-190.
\bibitem{p522} T. Gaketem and A. Iampan, {\it Essential $UP$-ideals and $t$-essential fuzzy $UP$-ideals of $UP$-algebras}, ICIC Express Letters, {\bf 15} (12) (2021), 1283-1289.
\bibitem{p523} T. Gaketem, P. Khamrot and A. Iampan, {\it Essential $UP$-filters and $t$-essential fuzzy $UP$-filters of $UP$-algebras}, ICIC Express Letters, {\bf 16} (10) (2022), 1057-1062.
\bibitem{p53} Q. P. Hu and X. Li, {\it On $BCH$-algebras}, Math. Seminar Notes (Kobe Univ.), {\bf 11}(2) (1983), 313-320.
\bibitem{p52} Y. Imai and K. Iséki, {\it On axiom systems of propositional calculi}, Proc. of Japan Acad., {\bf 42} (1) (1966), 19-22.
\bibitem{p55} A. Iampan, {\it A new branch of the logical algebra: $UP$-algebras}, J. Algebra Relat. Top., {\bf 5}(1) (2017), 35-54.
\bibitem{p514} A. Iampan, {\it Introducing fully $UP$-semigroups, Discuss. Math., Gen. Algebra Appl.}, {\bf 38} (2) (2018), 297-306.
\bibitem{p51} K. Iséki, {\it An algebra related with a propositional calculus}, Proc. of Japan Acad., {\bf 42} (1) (1966), 26-29.
\bibitem{p57} Y. B. Jun and A. Iampan, {\it Comparative and allied $UP$-filters}, Lobachevskii J. Math., {\bf 40} (1) (2019), 60-66.
\bibitem{p521} Y. B. Jun and A. Iampan, {\it Implicative $UP$-filters}, Afr. Mat., {\bf 30} (2019), 1093-1101.
\bibitem{p510} B. Kesorn, K. Maimum, W. Ratbandan and A. Iampan, {\it Intuitionistic fuzzy sets in $UP$-algebra}, Ital. J. Pure Appl. Math., {\bf 34} (2015), 339-364.
\bibitem{pa} P. Khamrot, T. Gaketem, P. Julatha, N. Chunsee, R Prasertpong and A. Iampan, {\it A note on intuitionstic fuzzy implicative $UP$-filters}, ICIC Express Letters Part B: Applications, {\bf 14} (4) (2023), 339-347.
\bibitem{p54} C. Prabpayak and U. Leerawat, {\it On ideals and congruences in $KU$-algebras}, Sci. Magna., {\bf 5} (1) (2009), 54-57.
\bibitem{ra} R. Radha, A. S. A. Mary, R. Prema and S. Broumi, {\it Neutrosophic Pythagorean sets with dependent neutrosophic Pythagorean components and its improved correlation coefficients}, Neutrosophic Sets Syst., {\bf 46} (1) (2021), 77-86.
\bibitem{p519} A. Satirad, P. Mosrijai and A. Iampan, {\it Formulas for finding $UP$-algebras}, Int. J. Math. Comput. Sci., {\bf 14} (2) (2019), 403-409.
\bibitem{p520} A. Satirad, P. Mosrijai and A. Iampan, {\it Generalized power $UP$-algebras}, Int. J. Math. Comput. Sci., {\bf 14} (1) (2019), 17-25.
\bibitem{p56} J. Somjanta, N. Thuekaew, P. Kumpeangkeaw and A. Iampan, {\it Fuzzy sets in $UP$-algebras}, Ann. Fuzzy Math. Inform., {\bf 12} (2016), 739-756.
\bibitem{p513} M. Songsaeng, K. P. Shum, R. Chinram and A. Iampan, {\it Neutrosophic implicative $UP$-filters, neutrosophic comparative $UP$-filters, and neutrosophic shift $UP$-filters of $UP$-algebras}, Neutrosophic Sets Syst., {\bf 47} (2021), 620-643.
\bibitem{p511} N. Thongngam and A. Iampan, {\it A novel approach to intuitionistic fuzzy sets in $UP$-algebras}, Korean J. Math., {\bf 27} (4) (2019), 1077-1108.
\bibitem{p58} L. A. Zadeh, {\it Fuzzy sets}, Inf. Control, {\bf 8} (3) (1965), 338-353.
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2026-06-03
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Conf. Issue: Mathematics and Computing - Innovations and Applications
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