Fuzzy rough soft set and its application to lattice

被引：0
|
作者：
Susanta Bera
Sankar Kumar Roy
机构：
[1] Vidyasagar University,Department of Applied Mathematics with Oceanology and Computer Programming
来源：
Granular Computing | 2020年 / 5卷
关键词：
MSR-approximation space; Rough soft set; Fuzzy rough soft set; Lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, we establish a connection between rough soft set (Shabir et al., Knowl Base Syst 40:72–80, 2013) and fuzzy set. Based on the novel granulation structure called modified soft rough approximation space, fuzzy rough soft set is introduced. The important basic properties of fuzzy rough soft set are studied and supported by illustrative examples. Moreover lattice theory is studied on fuzzy rough soft set. The definitions and propositions presented in this paper enrich the soft set theory, rough set theory and fuzzy set theory, and also extend their application scopes. The paper ends with conclusions having future investigations of the study.
引用
收藏
页码：217 / 223
页数：6
相关论文
共 50 条
  • [1] Fuzzy rough soft set and its application to lattice
    Bera, Susanta
    Roy, Sankar Kumar
    [J]. GRANULAR COMPUTING, 2020, 5 (02) : 217 - 223
  • [2] Approximation of Rough Soft Set and Its Application to Lattice
    Roy, Sankar Kumar
    Bera, Susanta
    [J]. FUZZY INFORMATION AND ENGINEERING, 2015, 7 (03) : 379 - 387
  • [3] Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making
    Zhang, Haidong
    Shu, Lan
    Liao, Shilong
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] Generalized intuitionistic fuzzy soft rough set and its application in decision making
    Zhang, Haidong
    Xiong, Lianglin
    Ma, Weiyuan
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (04) : 750 - 766
  • [5] Hesitant fuzzy compatible rough set and its application in hesitant fuzzy soft set based decision making
    Zhang, Haidong
    He, Yanping
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (01) : 995 - 1006
  • [6] A Hesitant Soft Fuzzy Rough Set and Its Applications
    Xie, Ting
    Gong, Zengtai
    [J]. IEEE ACCESS, 2019, 7 : 167766 - 167783
  • [7] Generalized interval-valued intuitionistic fuzzy soft rough set and its application
    He, Yanping
    Xiong, Lianglin
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (06) : 1070 - 1088
  • [8] Hesitant fuzzy soft set and its lattice structures
    Zhou, Xiaoqiang
    Li, Qingguo
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (01) : 72 - 80
  • [9] Dual hesitant fuzzy rough set and its application
    Haidong Zhang
    Lan Shu
    Shilong Liao
    Cairang Xiawu
    [J]. Soft Computing, 2017, 21 : 3287 - 3305
  • [10] Dual hesitant fuzzy rough set and its application
    Zhang, Haidong
    Shu, Lan
    Liao, Shilong
    Xiawu, Cairang
    [J]. SOFT COMPUTING, 2017, 21 (12) : 3287 - 3305
12345