Fuzzy Soft Sets and Fuzzy Soft Lattices

被引：9
|
作者：
Shao, Yingchao [1 ]
Qin, Keyun [1 ]
机构：
[1] SW Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2012年 / 5卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Soft set; Fuzzy soft set; Fuzzy soft lattice; Lattice; THEORETIC APPROACH; REDUCTION;
D O I：
10.1080/18756891.2012.747667
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include the algebraic structures of soft sets. Then the lattice structure of fuzzy soft lattices are discussed. At last, the concept of fuzzy soft ideal over a lattice is presented and the lattice structures of fuzzy soft ideal over a lattice are discussed.
引用
下载
收藏
页码：1135 / 1147
页数：13
相关论文
共 50 条
  • [21] Approximations of fuzzy soft sets by fuzzy soft relations with image processing application
    Mockor, Jiri
    Hurtik, Petr
    SOFT COMPUTING, 2021, 25 (10) : 6915 - 6925
  • [22] Approximations of fuzzy soft sets by fuzzy soft relations with image processing application
    Jiří Močkoř
    Petr Hurtík
    Soft Computing, 2021, 25 : 6915 - 6925
  • [23] On fuzzy soft b-open sets in fuzzy soft bitopological space
    Sayed, A. F.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (01): : 31 - 44
  • [24] Generalized closed fuzzy soft sets in Cech fuzzy soft closure spaces
    Majeed, Rasha Naser
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (08) : 1433 - 1441
  • [25] How 'soft' soft computing is: On the ordering of fuzzy sets
    Feng, Naiqin
    Guo, Zhanjie
    Dang, Liuqun
    Dong, Yajie
    ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS: WITH ASPECTS OF CONTEMPORARY INTELLIGENT COMPUTING TECHNIQUES, 2007, 2 : 304 - +
  • [26] Fuzzy parameterized fuzzy soft sets and decision making
    Kuanyun Zhu
    Jianming Zhan
    International Journal of Machine Learning and Cybernetics, 2016, 7 : 1207 - 1212
  • [27] Fuzzy Transforms for Hesitant, Soft or Intuitionistic Fuzzy Sets
    Jiří Močkoř
    International Journal of Computational Intelligence Systems, 14
  • [28] Extending fuzzy soft sets with fuzzy description logics
    Gu, Wenxiang
    Li, Guoyuan
    Yin, Minghao
    ICIC Express Letters, Part B: Applications, 2011, 2 (05): : 1001 - 1007
  • [29] Extending fuzzy soft sets with fuzzy description logics
    Jiang, Yuncheng
    Tang, Yong
    Chen, Qimai
    Liu, Hai
    Tang, Jianchao
    KNOWLEDGE-BASED SYSTEMS, 2011, 24 (07) : 1096 - 1107
  • [30] Fuzzy Transforms for Hesitant, Soft or Intuitionistic Fuzzy Sets
    Mockor, Jiri
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2021, 14 (01)
12345