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Intersectional soft sets theory applied to generalized hypervector spaces

   | 28. Dez. 2020

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[1] U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59 (2010), 3458–3463.10.1016/j.camwa.2010.03.034Search in Google Scholar

[2] A. Al-roqi, G. Muhiuddin and S. Aldhafeeri, Normal Unisoft Filters in R0-algebras, Cogent Mathematics, 1(4) (2017), 1–9.10.1080/23311835.2017.1383006Search in Google Scholar

[3] R. Ameri and O. Dehghan, Fuzzy hypervector spaces based on fuzzy singletons, Comput. Math. Appl., 61 (2011), 2933–2943.10.1016/j.camwa.2011.02.042Search in Google Scholar

[4] R. Ameri and O. R. Dehghan, Fuzzy hypervector spaces, Advances in Fuzzy Systems, 2008, Article ID 295649 (2008), 9 pages.10.1155/2008/295649Search in Google Scholar

[5] H. Aktaş and N. Çağman, Soft sets and soft groups, Inform. Sci., 177 (2007), 2726–2735.10.1016/j.ins.2006.12.008Search in Google Scholar

[6] A. O. Atagün and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl., 61 (2011), 592–601.10.1016/j.camwa.2010.12.005Search in Google Scholar

[7] N. Çaǧman, F. Çitak and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res., 207 (2010), 848–855.10.1016/j.ejor.2010.05.004Search in Google Scholar

[8] D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The parametrization reduction of soft sets and its applications, Comput. Math. Appl., 49 (2005), 757–763.10.1016/j.camwa.2004.10.036Search in Google Scholar

[9] P. Corsini, Prolegomena of hypergroup theory, Second edition, Aviani editor, (1993).Search in Google Scholar

[10] P. Corsini and V. Leoreanu, Applications of hyperstructure theory, Kluwer Academic Publications, 2003.10.1007/978-1-4757-3714-1Search in Google Scholar

[11] F. Feng, Soft rough sets applied to multicriteria group decision making, Ann. Fuzzy Math. Inform., 2 (2011), 69–80.Search in Google Scholar

[12] F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Comput. Math. Appl., 56 (2008), 2621–2628.10.1016/j.camwa.2008.05.011Search in Google Scholar

[13] G. Muhiuddin, A. M. Al-roqi and S. Aldhafeeri, Filter theory in MTL-algebras based on Uni-soft property, Bulletin of the Iranian Mathematical Society, 43(7) (2017), 2293–2306.Search in Google Scholar

[14] G. Muhiuddin and A. M. Al-roqi, Unisoft Filters in R0-algebras, Journal of Computational Analysis and Applications, 19(1) (2015), 133–143.Search in Google Scholar

[15] G. Muhiuddin, F. Feng and Y. B. Jun, Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets, The Scientific World Journal, 2014, Article ID 458638 (2014), 9 pages.10.1155/2014/458638403458124895652Search in Google Scholar

[16] G. Muhiuddin, A. M. Al-roqi and S. Aldhafeeri, Filter theory in MTL-algebras based on Uni-soft property, Bulletin of the Iranian Mathematical Society, 43(7) (2017), 2293–2306.Search in Google Scholar

[17] G. Muhiuddin and A. M. Al-roqi, Unisoft Filters in R0-algebras, Journal of Computational Analysis and Applications, 19(1) (2015), 133–143 .Search in Google Scholar

[18] G. Muhiuddin and A. M. Al-roqi, Cubic soft sets with applications in BCK/BCI-algebras, Annals of Fuzzy Mathematics and Informatics, 8(2) (2014), 291–304.10.1155/2014/458638Search in Google Scholar

[19] G. Muhiuddin and Y. B. Jun, Sup-hesitant fuzzy subalgebras and its translations and extensions, Annals of Communications in Mathematics, 2(1) (2019), 48–56 .Search in Google Scholar

[20] G. Muhiuddin and Y. B. Jun, p-semisimple neutrosophic quadruple BCI-algebras and neutrosophic quadruple p-ideals, Annals of Communication in Mathematics, 1 (1) (2018), 26–37.Search in Google Scholar

[21] G. Muhiuddin, H. Harizavi and Y. B. Jun, Bipolar-valued fuzzy soft hyper BCK ideals in hyper BCK algebras, Discrete Mathematics Algorithms and Applications, 12(2), 2050018 (2020), 16 pages.10.1142/S1793830920500184Search in Google Scholar

[22] G. Muhiuddin, Int-soft hyper-MV-deductive systems in hyper-MV -algebras, Azerbaijan Journal of Mathematics, 6(1) (2016), 39–51.Search in Google Scholar

[23] Y. B. Jun and S. Z. Song and G. Muhiuddin, Hesitant fuzzy semigroups with a frontier, Journal of Intelligent and Fuzzy Systems, 30 (3) (2016), 1613–1618.10.3233/IFS-151869Search in Google Scholar

[24] Y. B. Jun, S. Z. Song and G. Muhiuddin, Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups, The Scientific World Journal, 2014 Article ID 467968 (2014), 11 pages.10.1155/2014/467968421913525405223Search in Google Scholar

[25] Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56 (2008), 1408–1413.10.1016/j.camwa.2008.02.035Search in Google Scholar

[26] Y. B. Jun, K. J. Lee and A. Khan, Soft ordered semigroups, Math. Logic Q., 56 (2010), 42–50.10.1002/malq.200810030Search in Google Scholar

[27] Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to ideals in d-algebras, Comput. Math. Appl., 57 (2009), 367–378.10.1016/j.camwa.2008.11.002Search in Google Scholar

[28] Y. B. Jun, K. J. Lee and J. Zhan, Soft p-ideals of soft BCI-algebras, Comput. Math. Appl., 58 (2009), 2060–2068.10.1016/j.camwa.2009.07.072Search in Google Scholar

[29] Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Inform. Sci., 178 (2008), 2466–2475.Search in Google Scholar

[30] Y. B. Jun, C. H. Park and N. O. Alshehri, Hypervector spaces based on intersectional soft sets, Abstract and Applied Analysis, 2014 Article ID 784523 (2014), 6 pages.10.1155/2014/784523Search in Google Scholar

[31] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555–562.10.1016/S0898-1221(03)00016-6Search in Google Scholar

[32] P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44 (2002), 1077–1083.10.1016/S0898-1221(02)00216-XSearch in Google Scholar

[33] F. Marty, Sur une generalization de la notion de groupe, in: 8th Congress des Mathematiciens Scandinaves, Stockholm, (1934), 45–49.Search in Google Scholar

[34] D. Molodtsov, Soft set theory- First results, Comput. Math. Appl., 37 (1999), 19–31.10.1016/S0898-1221(99)00056-5Search in Google Scholar

[35] C. H. Park, Y. B. Jun and M. A.Öztürk, Soft WS-algebras, Commun. Korean Math. Soc., 23 (2008), 313–324.10.4134/CKMS.2008.23.3.313Search in Google Scholar

[36] T. Senapati, Y.B. Jun, G. Muhiuddin and K. P. Shum, Cubic intuitionistic structures applied to ideals of BCI-algebras, Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 27 (2) (2019), 213–232.10.2478/auom-2019-0028Search in Google Scholar

[37] M. S. Tallini, Hypervector spaces, in: Fourth Int. Congress on AHA, (1990),167–174.Search in Google Scholar

[38] M. S. Tallini, Weak hypervector spaces and norms in such spaces, Algebraic Hyperstructures and Applications, Hardonic Press, (1994), 199–206.Search in Google Scholar

[39] T. Vougiouklis, Hyperstructures and their representations, Hardonic, Press, Inc., (1994).Search in Google Scholar

[40] J. Zhan and Y. B. Jun, Soft BL-algebras based on fuzzy sets, Comput. Math. Appl., 59 (2010), 2037–2046.10.1016/j.camwa.2009.12.008Search in Google Scholar

eISSN:
1844-0835
Sprache:
Englisch
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Volume Open
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines