Multi-granulation Rough Sets Based on Central Sets

被引：0

作者：

Liu, Caihui ^{[1
]}

Wang, Meizhi ^{[2
]}

Liu, Yujiang ^{[1
]}

Wang, Min ^{[1
]}

机构：

[1] Gannan Normal Univ, Dept Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Gannan Normal Univ, Dept Phys Educ, Ganzhou PT-341000, Peoples R China

来源：

ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2014 | 2014年 / 8818卷

关键词：

Central sets; Measures; Multi-granulation; Rough sets; MODEL;

D O I：

10.1007/978-3-319-11740-9_6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Exploring rough sets from the viewpoint of multi-granulation has become one of the promising topics in rough set theory, in which lower or upper approximations are approximated by multiple binary relations. The purpose of this paper is to develop two new kinds of multi-granulation rough set models by using concept of central sets in a given approximation space. Firstly, the concepts of the two new models are proposed. Then some important properties and the relationship of the models are disclosed. Finally, several uncertainty measures of the models are also proposed. These results will enrich the theory and application of multi-granulation rough sets.

引用

页码：59 / 68

页数：10

共 50 条

[1] On multi-granulation covering rough sets
Liu, Caihui
Miao, Duoqian
Qian, Jin
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (06) : 1404 - 1418
[2] Multi-granulation fuzzy rough sets
Xu, Weihua
Wang, Qiaorong
Luo, Shuqun
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (03) : 1323 - 1340
[3] The comparative study of covering rough sets and multi-granulation rough sets
Kong, Qingzhao
Xu, Weihua
[J]. SOFT COMPUTING, 2019, 23 (10) : 3237 - 3251
[4] Multi-granulation rough sets based on tolerance relations
Weihua Xu
Qiaorong Wang
Xiantao Zhang
[J]. Soft Computing, 2013, 17 : 1241 - 1252
[5] Multi-granulation rough sets based on tolerance relations
Xu, Weihua
Wang, Qiaorong
Zhang, Xiantao
[J]. SOFT COMPUTING, 2013, 17 (07) : 1241 - 1252
[6] The comparative study of covering rough sets and multi-granulation rough sets
Qingzhao Kong
Weihua Xu
[J]. Soft Computing, 2019, 23 : 3237 - 3251
[7] MULTI-GRANULATION GRADED COVERING ROUGH SETS
Wang, Hong
Hu, Qi-Jia
[J]. PROCEEDINGS OF 2015 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOL. 2, 2015, : 742 - 747
[8] On Multi-Granulation Rough Sets with Its Applications
Abu-Gdairi, Radwan
Mareay, R.
Badr, M.
[J]. CMC-COMPUTERS MATERIALS & CONTINUA, 2024, 79 (01): : 1025 - 1038
[9] Multi-Granulation Double Fuzzy Rough Sets
Abdallah, A. A.
Sayed, O. R.
El-Sanousy, E.
Sayed, Y. H. Ragheb
Abu-Shugair, M. N.
Salahuddin
[J]. SYMMETRY-BASEL, 2023, 15 (10):
[10] FUSION AND COMPARISON OF MULTI-GRANULATION ROUGH SETS
Li, Tong-Jun
Wu, Wei-Zhi
Li, Ming-Zhi
[J]. PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 40 - 44

← 1 2 3 4 5 →