Abstract
In the present paper, a new approach dominance-based N-soft rough sets is being introduced to study roughness through dominance relation and N-soft sets. Moreover, approximation operators and some useful properties with respect to dominance-based N-soft rough approximation space are introduced. Furthermore, a potential application in matching the corresponding courses according to the students’ knowledge structure and knowledge state are presented with decision-making procedures. This algorithm can address the problems of multi-criteria classification in inconsistent ordered information system.
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References
Wallenius, J., Dyer, J.S., Fishburn, P.C.: Multiple criteria decision making, multiattribute utility theory: recent accomplishments and what lies ahead. Manag. Sci. 54(7), 1336–1349 (2008)
Falmagne, J.C., Doignon, J.P.: Learning Spaces: Interdisciplinary Applied Mathematics. Springer, Heidelberg (2011)
Akram, M., Ali, G., Alcantud, J.C.R.: New decision-making hybrid model: intuitionistic fuzzy N-soft rough sets. Soft. Comput. 23(20), 9853–9868 (2019)
Akram, M., Adeel, A., Alcantud, J.C.R.: Fuzzy N-soft sets: a novel model with applications. J. Intell. Fuzzy Syst. 35(4), 4757–4771 (2018)
Akram, M., Adeel, A., Alcantud, J.C.R.: Group decision-making methods based on hesitant N-soft sets. Expert Syst. Appl. 115(JAN), 95–105 (2019)
Akram, M., Adeel, A., Alcantud, J.C.R.: Hesitant fuzzy N-soft sets: a new model with applications in decision-making. J. Intell. Fuzzy Syst. 36(6), 6113–6127 (2019)
Ali, A., Ali, M., Rehman, N.: Soft dominance based rough sets with applications in information systems. Int. J. Approx. Reason. 171–195 (2019)
Al-shami, T.M., El-Shafei, M.E.: Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone. Soft. Comput. 24(7), 5377–5387 (2019). https://doi.org/10.1007/s00500-019-04295-7
Alshami, T.M., Elshafei, M.E., Aboelhamayel, M.: On soft topological ordered spaces. J. King Saud Univ.-Sci. 31(4), 556–566 (2019)
Błaszczyński, J., Greco, S., Słowiński, R., Szela̧g, M.: Monotonic variable consistency rough set approaches. Rough Sets Knowl. Technol. 50(7), 979–999 (2009)
Błaszczyński, J., Słowiński, R., Szela̧g, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf. Sci. 181(5), 987–1002 (2011)
Du, W.S., Hu, B.Q.: Dominance-based rough fuzzy set approach and its application to rule induction. Eur. J. Oper. Res. 261(2), 690–703 (2017)
Feng, F., Li, C., Davvaz, B., Ali, M.I.: Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft. Comput. 14(9), 899–911 (2010)
Feng, F., Liu, X., Leoreanu-Fotea, V., Jun, Y.B.: Soft sets and soft rough sets. Inf. Sci. 181(6), 1125–1137 (2011)
Fatimah, F., Rosadi, D., Hakim, R.F., Alcantud, J.C.R.: N-soft sets and their decision making algorithms. Soft. Comput. 22(12), 3829–3842 (2018)
Greco, S., Matarazzo, B., Słowiński, R.: Rough approximation of a preference relation by dominance relations. Eur. J. Oper. Res. 117(1), 63–83 (1999)
Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129(1), 1–47 (2001)
Greco, S., Matarazzo, B., Słowiński, R.: Extension of the rough set approach to multicriteria decision support. INFOR: Inf. Syst. Oper. Res. 38(3), 161–195 (2000)
Inuiguchi, M., Yoshioka, Y., Kusunoki, Y.: Variable-precision dominance-based rough set approach and attribute reduction. Int. J. Approx. Reason. 50(8), 1199–1214 (2009)
Molodtsov, D.: Soft set theoryfirst results. Comput. Math. Appl. 37(4–5), 19–31 (1999)
Zhang, D., Li, P.-Y., An, S.: J. Intell. Fuzzy Syst. (2020). https://doi.org/10.3233/JIFS-200338
Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)
Rehman, N., Ali, A., Shah, S.I., Park, C.: Variable precision multi decision \(\lambda \)-soft dominance based rough sets and their applications in conflict problems. J. Intell. Fuzzy Syst. 36(6), 5345–5360 (2019)
Shaheen, T., Mian, B., Shabir, M., Feng, F.: A novel approach to decision analysis using dominance-based soft rough sets. Int. J. Fuzzy Syst. 21(3), 954–962 (2019). https://doi.org/10.1007/s40815-019-00612-2
Xu, W., Zhang, W.: Methods for knowledge reduction in inconsistent ordered information systems. J. Appl. Math. Comput. 313–323 (2008)
Zhan, J., Alcantud, J.C.R.: A novel type of soft rough covering and its application to multicriteria group decision making. Artif. Intell. Rev. 52(4), 2381–2410 (2018). https://doi.org/10.1007/s10462-018-9617-3
Zhang, G., Li, Z., Qin, B.: A method for multi-attribute decision making applying soft rough sets. J. Intell. Fuzzy Syst. 30(3), 1803–1815 (2016)
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Zhang, D., Wu, Q., Cao, SN., Li, PY. (2021). Dominance-Based N-soft Rough Sets. In: Pang, C., et al. Learning Technologies and Systems. SETE ICWL 2020 2020. Lecture Notes in Computer Science(), vol 12511. Springer, Cham. https://doi.org/10.1007/978-3-030-66906-5_17
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DOI: https://doi.org/10.1007/978-3-030-66906-5_17
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