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Author:

Zhao, Hu (Zhao, Hu.) | Zhang, Hong-Ying (Zhang, Hong-Ying.)

Indexed by:

Scopus SCIE SCOPUS

Abstract:

© 2018 by the authors. 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.

Keyword:

Complete lattice Neutrosophic rough set Neutrosophic set Pessimistic (optimistic) multigranulation neutrosophic approximation operators

Author Community:

  • [ 1 ] [Zhao, Hu] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
  • [ 2 ] [Zhang, Hong-Ying] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
  • [ 3 ] [Zhao, Hu]Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
  • [ 4 ] [Zhang, Hong-Ying]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

Reprint Author's Address:

  • Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China.

Email:

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Related Keywords:

Source :

Symmetry

ISSN: 2073-8994

Year: 2018

Issue: 9

Volume: 10

2 . 1 4 3

JCR@2018

2 . 1 4 3

JCR@2018

ESI Discipline: MULTIDISCIPLINARY;

ESI HC Threshold:200

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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