Fuzzy soft covering-based multi-granulation fuzzy rough sets and their applications

被引：51
作者：
Atef, Mohammed [1 ]
Ali, Muhammad Irfan [2 ]
Al-shami, Tareq M. [3 ]
机构：
[1] Menoufia Univ, Dept Math & Comp Sci, Fac Sci, Menoufia, Egypt
[2] Islamabad Model Coll Girls, Dept Math, Islamabad, Pakistan
[3] Sanaa Univ, Dept Math, Sanaa, Yemen
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 04期
关键词：
Fuzzy soft beta-neighborhood; Fuzzy soft covering-based optimistic multi-granulation fuzzy rough set; Fuzzy soft covering-based pessimistic multi-granulation fuzzy rough set; Fuzzy soft covering-based variable precision multi-granulation fuzzy rough set; MAGDM;
D O I：
10.1007/s40314-021-01501-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, with the aid of fuzzy soft beta-neighborhoods, we introduce fuzzy soft coveringbased multi-granulation fuzzy rough set models. We examine some of the relevant properties of fuzzy soft covering based on optimistic, pessimistic, and variable precision multigranulation fuzzy rough setmodels. Then, we give fuzzy soft coverings based on psi-optimistic and D-optimistic (psi-pessimistic and D-pessimistic) multi-granulation fuzzy rough sets from fuzzy soft measures. It also discusses the interactions between these forms of fuzzy soft coverings based on multi-granulation fuzzy rough sets. Eventually, we apply the proposed models for solving MAGDM problems. The effectiveness and feasibility of our approach are noted from the introduced comparisons between our method and some methods given in the previous studies.
引用
收藏
页数：26
相关论文
共 66 条
[1]   Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone [J].
Al-shami, T. M. ;
El-Shafei, M. E. .
SOFT COMPUTING, 2020, 24 (07) :5377-5387
[2]   New Rough Approximations Based on E-Neighborhoods [J].
Al-shami, Tareq M. ;
Fu, Wen Qing ;
Abo-Tabl, E. A. .
COMPLEXITY, 2021, 2021 (2021)
[3]   T-soft equality relation [J].
Al-Shami, Tareq M. ;
El-Shafei, Mohammed E. .
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (04) :1427-1441
[4]   Investigation and Corrigendum to Some Results Related to g-Soft Equality and gf-Soft Equality Relations [J].
Al-shami, Tareq M. .
FILOMAT, 2019, 33 (11) :3375-3383
[5]  
[Anonymous], 1995, Fuzzy Sets and Fuzzy Logic
[6]  
Atef M, 2021, J MATH-UK
[7]   On three types of soft fuzzy coverings based rough sets [J].
Atef, Mohammed ;
Nada, Shokry I. .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 185 :452-467
[8]   Some extensions of covering-based multigranulation fuzzy rough sets from new perspectives [J].
Atef, Mohammed ;
El Atik, Abd El Fattah .
SOFT COMPUTING, 2021, 25 (08) :6633-6651
[9]   Fuzzy topological structures via fuzzy graphs and their applications [J].
Atef, Mohammed ;
El Atik, Abd El Fattah ;
Nawar, Ashraf .
SOFT COMPUTING, 2021, 25 (08) :6013-6027
[10]   Comparison of six types of rough approximations based on j-neighborhood space and j-adhesion neighborhood space [J].
Atef, Mohammed ;
Khalil, Ahmed Mostafa ;
Li, Sheng-Gang ;
Azzam, A. A. ;
El Atik, Abd El Fattah .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (03) :4515-4531
1234567