Top

Published in:

2021 | OriginalPaper | Chapter

Dominance-Based N-soft Rough Sets

Authors : Di Zhang, Qian Wu, Sheng-Nan Cao, Pi-Yu Li

Published in: Learning Technologies and Systems

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Fuzzy N-soft Ordered Semigroups with Application

next chapter Trend Analysis of At-a-station Hydraulic Geometry Relations on the Loess Plateau of China

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)CrossRef

Falmagne, J.C., Doignon, J.P.: Learning Spaces: Interdisciplinary Applied Mathematics. Springer, Heidelberg (2011)CrossRef

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)CrossRef

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)CrossRef

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)CrossRef

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/s00500-019-04295-7CrossRef

Alshami, T.M., Elshafei, M.E., Aboelhamayel, M.: On soft topological ordered spaces. J. King Saud Univ.-Sci. 31(4), 556–566 (2019)CrossRef

10.

Błaszczyński, J., Greco, S., Słowiński, R., Szela̧g, M.: Monotonic variable consistency rough set approaches. Rough Sets Knowl. Technol. 50(7), 979–999 (2009)

11.

Błaszczyński, J., Słowiński, R., Szela̧g, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf. Sci. 181(5), 987–1002 (2011)

12.

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)MathSciNetCrossRef

13.

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)CrossRef

14.

Feng, F., Liu, X., Leoreanu-Fotea, V., Jun, Y.B.: Soft sets and soft rough sets. Inf. Sci. 181(6), 1125–1137 (2011)MathSciNetCrossRef

15.

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)CrossRef

16.

Greco, S., Matarazzo, B., Słowiński, R.: Rough approximation of a preference relation by dominance relations. Eur. J. Oper. Res. 117(1), 63–83 (1999)CrossRef

17.

Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129(1), 1–47 (2001)CrossRef

18.

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)

19.

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)MathSciNetCrossRef

20.

Molodtsov, D.: Soft set theoryfirst results. Comput. Math. Appl. 37(4–5), 19–31 (1999)MathSciNetCrossRef

21.

Zhang, D., Li, P.-Y., An, S.: J. Intell. Fuzzy Syst. (2020). https://doi.org/10.3233/JIFS-200338

22.

Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)CrossRef

23.

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)CrossRef

24.

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/s40815-019-00612-2MathSciNetCrossRef

25.

Xu, W., Zhang, W.: Methods for knowledge reduction in inconsistent ordered information systems. J. Appl. Math. Comput. 313–323 (2008)

26.

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/s10462-018-9617-3CrossRef

27.

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)CrossRef

Title: Dominance-Based N-soft Rough Sets
Authors: Di Zhang
Qian Wu
Sheng-Nan Cao
Pi-Yu Li
Publisher: Springer International Publishing
Book: Learning Technologies and Systems
Print ISBN: 978-3-030-66905-8

Electronic ISBN: 978-3-030-66906-5

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-3-030-66906-5_17

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner