Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain

被引：2
作者：
Zhao, Hu [1 ]
Zhang, Hong-Ying [2 ]
机构：
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 09期
基金：
中国国家自然科学基金;
关键词：
neutrosophic set; neutrosophic rough set; pessimistic (optimistic) multigranulation neutrosophic approximation operators; complete lattice; SIMILARITY;
D O I：
10.3390/sym10090417
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
As a generalization of single value neutrosophic rough sets, the concept of multi-granulation neutrosophic rough sets was proposed by Bo et al., and some basic properties of the pessimistic (optimistic) multigranulation neutrosophic rough approximation operators were studied. However, they did not do a comprehensive study on the algebraic structure of the pessimistic (optimistic) multigranulation neutrosophic rough approximation operators. In the present paper, we will provide the lattice structure of the pessimistic multigranulation neutrosophic rough approximation operators. In particular, in the one-dimensional case, for special neutrosophic relations, the completely lattice isomorphic relationship between upper neutrosophic rough approximation operators and lower neutrosophic rough approximation operators is proved.
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页数：12
相关论文
共 23 条
[1]  
[Anonymous], 2014, NEUTROSOPHIC SETS SY
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]   On single valued neutrosophic refined rough set model and its application [J].
Bao, Yan-Ling ;
Yang, Hai-Long .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 33 (02) :1235-1248
[4]  
BO CX, 2018, SYMMETRY-BASEL, V10, P21201, DOI DOI 10.3390/sym10070296
[5]  
Broumi S, 2014, ITAL J PURE APPL MAT, P493
[6]   NCM: Neutrosophic c-means clustering algorithm [J].
Guo, Yanhui ;
Sengur, Abdulkadir .
PATTERN RECOGNITION, 2015, 48 (08) :2710-2724
[7]   New neutrosophic approach to image segmentation [J].
Guo, Yanhui ;
Cheng, H. D. .
PATTERN RECOGNITION, 2009, 42 (05) :587-595
[8]   A multi-granulation decision-theoretic rough set method for distributed fc-decision information systems: An application in medical diagnosis [J].
Li, Zhaowen ;
Liu, Xiaofeng ;
Zhang, Gangqiang ;
Xie, Ningxin ;
Wang, Sichun .
APPLIED SOFT COMPUTING, 2017, 56 :233-244
[9]   T-similarity of fuzzy relations and related algebraic structures [J].
Li, Zhaowen ;
Cui, Rongchen .
FUZZY SETS AND SYSTEMS, 2015, 275 :130-143
[10]   Similarity of fuzzy relations based on fuzzy topologies induced by fuzzy rough approximation operators [J].
Li, Zhaowen ;
Cui, Rongchen .
INFORMATION SCIENCES, 2015, 305 :219-233
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