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Borzooei, R. A., Kologani, M. Aaly, Karazma, F., Jun, Y. B.. (1402). Single valued neutrosophic ideals of pseudo MV-algebras. فیزیولوژی و بیوتکنولوژی آبزیان, 11(1), 123-136. doi: 10.22124/jart.2023.22952.1435
R. A. Borzooei; M. Aaly Kologani; F. Karazma; Y. B. Jun. "Single valued neutrosophic ideals of pseudo MV-algebras". فیزیولوژی و بیوتکنولوژی آبزیان, 11, 1, 1402, 123-136. doi: 10.22124/jart.2023.22952.1435
Borzooei, R. A., Kologani, M. Aaly, Karazma, F., Jun, Y. B.. (1402). 'Single valued neutrosophic ideals of pseudo MV-algebras', فیزیولوژی و بیوتکنولوژی آبزیان, 11(1), pp. 123-136. doi: 10.22124/jart.2023.22952.1435
Borzooei, R. A., Kologani, M. Aaly, Karazma, F., Jun, Y. B.. Single valued neutrosophic ideals of pseudo MV-algebras. فیزیولوژی و بیوتکنولوژی آبزیان, 1402; 11(1): 123-136. doi: 10.22124/jart.2023.22952.1435

Single valued neutrosophic ideals of pseudo MV-algebras

Journal of Algebra and Related Topics
دوره 11، شماره 1، شهریور 2023، صفحه 123-136    اصل مقاله (314.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2023.22952.1435
نویسندگان
R. A. Borzooei* 1؛ M. Aaly Kologani2؛ F. Karazma3؛ Y. B. Jun4
1Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
2Hatef Higher Education Institute, Zahedan, Iran
3Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University
4Department of Mathematics Education Gyeongsang National University Jinju 52828, Korea
چکیده
After introducing the concept of single valued neutrosophic ideal in a pseudo MV-algebra, its properties are examined. The various conditions under which a single valued neutrosophic set can be a single valued neutrosophic ideal are examined. Characterizations of a single valued neutrosophic ideal of a pseudo MV-algebra are considered.
کلیدواژه‌ها
Pseudo BL-algebra؛ (normal) ideal؛ (normal) single valued neutrosophic ideal
مراجع
1. K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87{96. http://dx.doi.org/10.1007/978-3-7908-1870-3.
2. R.A. Borzooei, F. Smarandache and Y.B. Jun, Single valued neutrosophic  ltersin pseudo BL-algebras, Neutrosophic Sets and Systems, (submitted).
3. R.A. Borzooei, X.H. Zhang, F. Smarandache and Y.B. Jun, Commutative generalized neutrosophic ideals in BCK-algebras, Symmetry, (8) 10 (2018), 350. http://dx.doi.org/10.3390/sym10080350
4. A. Borumand Saeid and Y.B. Jun, Neutrosophic subalgebras of BCK/BCI-algebras based on neutrosophic points, Annals of Fuzzy Mathematics and Informatics,14 (2017), 87{97. http://dx.doi.org/10.30948/afmi.2017.14.1.87
5. C.C. Chang, Algebraic analysis of many valued logics, Transactions of the American Mathematical Society, 88 (1958), 467-490. http://dx.doi.org/10.1090/S0002-9947-1958-0094302-9
6. A. Dvurecenskij, States on pseudo MV-algebras, Studia Logica, 68 (2001), 301-327.
7. A. Dvurecenskij, On pseudo MV-algebras, Soft Computing, 5 (2001), 347-354. http://dx.doi.org/10.1007/s005000100136.
8. A. Dvurecenskij, Pseudo MV-algebras and lexicographic product, Fuzzy Sets and Systems, 303 (2016), 56-79. http://dx.doi.org/10.1016/j.fss.2015.09.024.
9. A. Dvurecenskij and O. Zahiri, Orthocomplete pseudo MV-algebras, International Journal of General Systems, 45 (2016), 889-909.
10. G. Dymek, Fuzzy maximal ideals of pseudo MV-algebras, Commentationes Mathematicae, 47 (2007), 31-46.
11. G. Georgescu and A. Iorgulescu, Pseudo MV-algebras, Multiple-Valued Logic, 6 (2001), 95-135.
12. Y.B. Jun, Neutrosophic subalgebras of several types in BCK/BCI-algebras, Annals of Fuzzy Mathematics and Informatics, 14 (2017), 75-86.
13. Y.B. Jun, S.J. Kim and F. Smarandache, Interval neutrosophic sets with applications in BCK/BCI-algebra, Axioms, 7 (2018), 23. http://dx.doi.org/10.3390/axioms7020023.
14. Y.B. Jun, F. Smarandache and H. Bordbar, Neutrosophic N-structures applied to BCK/BCI-algebras, Information, 8 (2017), 128. http://dx.doi.org/10.3390/info8040128
15. Y.B. Jun, F. Smarandache, S.Z. Song and M. Khan, Neutrosophic positive implicative N-ideals in BCK/BCI-algebras, Axioms, 7 (2018), 3.
16. S.J. Kim, S.Z. Song and Y.B. Jun, Generalizations of neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points, Neutrosophic Sets and Systems, 20 (2018), 26-35.
17. M. Mohseni Takallo and M. Aaly Kologani, MBJ-neutrosophic  lters of equality algebras, Journal of Algebraic Hyperstructures and Logical Algebras, 1(2) (2020), 57-75.
18. M.A.  Ozturk and Y.B. Jun, Neutrosophic ideals in BCK/BCI-algebras based on neutrosophic points, Journal of the International Mathematical Virtual Institute, 8 (2018), 1-17.
19. A.Paad and M. Bakhshi, MBJ-neutrosophic  lters of equality algebras, Journal of Algebraic Hyperstructures and Logical Algebras, (2) 1 (2020), 45-56.
20. G. R. Rezaei, R. A. Borzooei and Y. B. Jun, Neutrosophic quadruple BCI-commutative ideal, Algebraic Structures and Their Applications, (2) 7 (2020), 63-77.
21. G. R. Rezaei, Y. b. Jun and R. A. Borzooei, Neutrosophic quadruple a-ideals, Neutrosophic Sets and Systems, 31 (2020), 266-281.
22. F. Smarandache, A unifying  eld in logics. Neutrosophy: Neutrosophic probability, set and logic, Rehoboth: American Research Press, 1999.
23. F. Smarandache, Neutrosophic set ? a generalization of intuitionistic fuzzy set, Journal of Defence Resources Management, (1) 1 (2010), 107-116. http://dx.doi.org/10.1109/GRC.2006.1635754.
24. S.Z. Song, F. Smarandache and Y.B. Jun, Neutrosophic commutative N-ideals in BCK-algebras, Information, (4) 8 (2017), 130. http://dx.doi.org/10.3390/info8040130.
25. S.Z. Song, M. Khan, F. Smarandache and Y.B. Jun, A novel extension of neutrosophic sets and its application in BCK/BCI-algebras, In New Trends in Neutrosophic Theory and Applications (Volume II); Pons Editions; EU: Brussels,
Belgium, 2018, 308-326.
26. I.B. Turksen, Interval valued fuzzy sets based on normal forms, Fuzzy Sets and Systems, (2) 20 (1986), 191-210. http://dx.doi.org/10.1016/0165-0114(86)90077-1.
27. H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, Single valued neutrosophic sets, Multispace and Multistructure, 4 (2010), 410-413.
28. L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.

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