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2016 | OriginalPaper | Buchkapitel

Multigranulation Rough Sets in Hesitant Fuzzy Linguistic Information Systems

verfasst von : Chao Zhang, De-Yu Li, Yan-Hui Zhai

Erschienen in: Rough Sets

Verlag: Springer International Publishing

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Abstract

Based on lower and upper approximations induced by multiple binary relations, multigranulation rough set theory has become one of the most promising research topics in the domain of rough set theory. Through combining multigranulation rough sets with hesitant fuzzy linguistic term sets, this article introduces a hybrid model of multigranulation rough sets, named a hesitant fuzzy linguistic (HFL) multigranulation rough set. In the framework of granular computing, we first give basic definitions of optimistic and pessimistic hesitant fuzzy linguistic multigranulation rough sets. Then, we explore some important properties about hesitant fuzzy linguistic multigranulation rough sets. Lastly, uncertainty measures for the hesitant fuzzy linguistic multigranulation approximation space are addressed.

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Literatur
2.
Zurück zum Zitat Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE. Trans. Fuzzy Syst. 20(1), 109–119 (2012)CrossRef Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE. Trans. Fuzzy Syst. 20(1), 109–119 (2012)CrossRef
3.
Zurück zum Zitat Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)MATH Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)MATH
4.
Zurück zum Zitat Rodriguez, R.M., Martinez, L., Herrera, F.: A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf. Sci. 241(12), 28–42 (2014)MathSciNetMATH Rodriguez, R.M., Martinez, L., Herrera, F.: A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf. Sci. 241(12), 28–42 (2014)MathSciNetMATH
5.
Zurück zum Zitat Wei, C.P., Zhao, N., Tang, X.J.: Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE. Trans. Fuzzy Syst. 22(3), 575–585 (2014)CrossRef Wei, C.P., Zhao, N., Tang, X.J.: Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE. Trans. Fuzzy Syst. 22(3), 575–585 (2014)CrossRef
6.
Zurück zum Zitat Liao, H.C., Xu, Z.S., Zeng, X.J., Merigo, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl.-Based Syst. 76, 127–138 (2015)CrossRef Liao, H.C., Xu, Z.S., Zeng, X.J., Merigo, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl.-Based Syst. 76, 127–138 (2015)CrossRef
7.
Zurück zum Zitat Yang, X.B., Song, X.N., Qi, Y.S., Yang, J.Y.: Constructive and axiomatic approaches to hesitant fuzzy rough set. Soft. Comput. 18(6), 1–11 (2014)CrossRefMATH Yang, X.B., Song, X.N., Qi, Y.S., Yang, J.Y.: Constructive and axiomatic approaches to hesitant fuzzy rough set. Soft. Comput. 18(6), 1–11 (2014)CrossRefMATH
8.
Zurück zum Zitat Liang, D.C., Liu, D.: A novel risk decision-making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE. Trans. Fuzzy Syst. 23(2), 237–247 (2015)CrossRef Liang, D.C., Liu, D.: A novel risk decision-making based on decision-theoretic rough sets under hesitant fuzzy information. IEEE. Trans. Fuzzy Syst. 23(2), 237–247 (2015)CrossRef
9.
Zurück zum Zitat Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 90(2), 111–127 (1997)MathSciNetCrossRefMATH Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 90(2), 111–127 (1997)MathSciNetCrossRefMATH
10.
11.
Zurück zum Zitat Qian, Y.H., Li, S.Y., Liang, J.Y., Shi, Z.Z., Wang, F.: Pessimistic rough set based decisions: a multigranulation fusion strategy. Inf. Sci. 264(6), 196–210 (2014)MathSciNetCrossRefMATH Qian, Y.H., Li, S.Y., Liang, J.Y., Shi, Z.Z., Wang, F.: Pessimistic rough set based decisions: a multigranulation fusion strategy. Inf. Sci. 264(6), 196–210 (2014)MathSciNetCrossRefMATH
12.
Zurück zum Zitat Liang, J.Y., Wang, F., Dang, C.Y., Qian, Y.H.: An efficient rough feature selection algorithm with a multi-granulation view. Int. J. Approx. Reason. 53(6), 912–926 (2012)MathSciNetCrossRef Liang, J.Y., Wang, F., Dang, C.Y., Qian, Y.H.: An efficient rough feature selection algorithm with a multi-granulation view. Int. J. Approx. Reason. 53(6), 912–926 (2012)MathSciNetCrossRef
13.
Zurück zum Zitat Yang, X.B., Zhang, Y.Q., Yang, J.Y.: Local and global measurements of MGRS rules. Int. J. Comput. Int. Syst. 5(6), 1010–1024 (2012)CrossRef Yang, X.B., Zhang, Y.Q., Yang, J.Y.: Local and global measurements of MGRS rules. Int. J. Comput. Int. Syst. 5(6), 1010–1024 (2012)CrossRef
14.
Zurück zum Zitat Zhang, C., Li, D.Y., Yan, Y.: A dual hesitant fuzzy multigranulation rough set over two-universe model for medical diagnoses. Comput. Math. Method Med. 2015(5), 1–12 (2015)MathSciNetMATH Zhang, C., Li, D.Y., Yan, Y.: A dual hesitant fuzzy multigranulation rough set over two-universe model for medical diagnoses. Comput. Math. Method Med. 2015(5), 1–12 (2015)MathSciNetMATH
15.
Zurück zum Zitat Zhang, C., Li, D.Y., Ren, R.: Pythagorean fuzzy multigranulation rough set over two universes and its applications in merger and acquisition. Int. J. Intell. Syst. 31(9), 921–943 (2016)CrossRef Zhang, C., Li, D.Y., Ren, R.: Pythagorean fuzzy multigranulation rough set over two universes and its applications in merger and acquisition. Int. J. Intell. Syst. 31(9), 921–943 (2016)CrossRef
Metadaten
Titel
Multigranulation Rough Sets in Hesitant Fuzzy Linguistic Information Systems
verfasst von
Chao Zhang
De-Yu Li
Yan-Hui Zhai
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-47160-0_28

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