Order of Finite Soft Quasigroups with Application to Egalitarianism

[1] A. Albert and A. Baer, Quasigroups II, Trans. Amer. Math. Soc. 55 (1944) 401–419. https://doi.org/10.2307/199025910.1090/S0002-9947-1943-0009962-7 Search in Google Scholar

[2] H. Aktas and N. Cagman, Soft sets and soft groups, Inf. Sci. 177 (2007) 2726–2735. https://doi.org/10.1016/j.ins.2006.12.00810.1016/j.ins.2006.12.008 Search in Google Scholar

[3] H. Aktas and S. Ozlu, Cyclic soft groups and their applications on groups, The Scientific World Journal (2014). Article Id 437324, pp. 5. https://doi.org/10.1155/2014/43732410.1155/2014/437324412420825133231 Search in Google Scholar

[4] Aristotle, Nicomachean Ethics, in: The complete works of Aristotle, ed. J. Barnes, Princeton, Princeton University Press. Search in Google Scholar

[5] Aristotle, Politics, in: The complete works of Aristotle, ed. J. Barnes, Princeton, Princeton University Press. https://doi.org/10.1515/9781400835850-01510.1515/9781400835850-015 Search in Google Scholar

[6] S. Aslihan and O. Atagun, Soft groups and normalistic soft groups, Comput. and Maths with Appl. 62 (2011) 685–698. https://doi.org/10.1016/j.camwa.2011.05.05010.1016/j.camwa.2011.05.050 Search in Google Scholar

[7] S. Aslihan, A. Shahzad and M. Adnan, A new operation on soft sets: Extended difference of soft sets, J. New Theory 27 (2019) 33–42. Search in Google Scholar

[8] M. Bronfenbrenner, Equality and equity, The Annals of the American Academy of Political and Social Science 409 (1973) 9–23. https://doi.org/10.1177/00027162734090010310.1177/000271627340900103 Search in Google Scholar

[9] R.H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946) 245–354. https://doi.org/10.1090/S0002-9947-1946-0017288-310.1090/S0002-9947-1946-0017288-3 Search in Google Scholar

[10] D. Chen, C. Tsang, D. Yeung and X. Wang, The parameterization reduction of soft sets and its applications, Comput. Math. Appl. 49 (2005) 757–763. https://doi.org/10.1016/j.camwa.2004.10.03610.1016/j.camwa.2004.10.036 Search in Google Scholar

[11] O. Chein, O.H. Pflugfelder and J.D. Smith, Quasigroups and Loops, Theory and Applications (Heldermann Verlag, 1990). Search in Google Scholar

[12] T.G. Jaiyéọlá, Some necessary and sufficient condition for parastrophic invariance of the associative law in quasigroup, Fasc. Math. 40 (2008) 23–35. Search in Google Scholar

[13] T.G. Jaiyéọlá, A study of new concepts in smarandache quasigroups and loop, Pro-Quest Information and Learning (ILQ), Ann Arbor (2009). Search in Google Scholar

[14] K. Huseyin, O. Akin and A. Emin, Difference operations of soft matrices with application in decision making, Punjab Univ. J. Maths. 51 (2019) 1–21. Search in Google Scholar

[15] 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. https://doi.org/10.1016/S0898-1221(02)00215-X Search in Google Scholar

[16] D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (1999) 19–31. https://doi.org/10.1016/50898-1221(99)00056-5 Search in Google Scholar

[17] V.E. Nistala and G. Emandi, Representation of soft substructures of a soft groups, IOSR J. Maths. 15 (2019) 41–48. https://doi.org/10.9790/5728-1505034148 Search in Google Scholar

[18] S. Ayub, M. Shabir and W. Mahmood, New types of soft rough sets in groups based on normal soft groups, Comput. Appl. Math. 39 (2) (2020) pp. 15. https://doi.org/10.1007/s40314-020-1098-810.1007/s40314-020-1098-8 Search in Google Scholar

[19] B.V. Sai, P.D. Srinivasu and N.V. Murthy, Soft sets-motivation and overview, Global J. Pure and Appl. Math. 15 (6) (2019) 1057–1068. https://doi.org/10.37622/GJPAM/15.6.2019.1055-106710.37622/GJPAM/15.6.2019.1055-1067 Search in Google Scholar

[20] A. Sezgin and A.O. Atagun, On Operations of soft sets, Comput. Math. Appl. 61 (2011) 1457–1467. https://doi.org/10.1016/jcamwa.2011.01.018 Search in Google Scholar

[21] Z. Pawlak, Rough sets, Int. J. Comp. Inform. Sci. 11 (5) (1982) 341–356. https://doi.org/10.1007/BF0100195610.1007/BF01001956 Search in Google Scholar

[22] H.O. Pflugfelder, Quasigroups and Loops: Introduction. Sigma Series in Pure Math. 7 (Heldermann Verlag, Berlin, 1990). Search in Google Scholar

[23] Z. Ping and W. Qiaoyan, Operations on soft set, J. Appl. Math., Article Id 105752 (2013). https://doi.org/10.1155/2013/10575210.1155/2013/105752 Search in Google Scholar

[24] L. Vijayalakshmi and J. Vimala, On Lattice ordered soft groups, Int. J. Pure Appl. Math. 12 (2017) 47–55. https://doi.org/10.12732/ijpam.v112i1.310.12732/ijpam.v112i1.3 Search in Google Scholar

[25] W. Wall, Drury: Subquasigroups of finite quasigroup, Pacific J. Math. 7 (4) (1957) 1711–1714. https://projecteuclid.org/euclid.pjm/1103043242 Search in Google Scholar

[26] L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X10.1016/S0019-9958(65)90241-X Search in Google Scholar

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