Generalized intuitionistic fuzzy filters on residuated lattices

被引：3
|
作者：
Liu, Lianzhen [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 04期
关键词：
Residuated lattice; intuitionistic fuzzy filter; P-filter; intuitionistic fuzzy P-filter; BL-ALGEBRAS; HEMIRINGS;
D O I：
10.3233/IFS-141437
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Filters play an important role in studying fuzzy logics. From logical point of view, filters correspond to sets of provable formulae. The aim of this paper is to solve two problems appeared in (alpha, beta]-intuitionistic fuzzy filters of residuated lattices. Some characteristics of (alpha, beta]-intuitionistic fuzzy filters ((alpha, beta]-intuitionistic fuzzy P-filters) are obtained. The relations among (alpha, beta]-intuitionistic fuzzy filters, cut sets and s-upper cut sets are established. The "Extension property" and "Triple of equivalent characteristics" of (alpha, beta]-intuitionistic fuzzy P-filters are also presented.
引用
收藏
页码：1545 / 1552
页数：8
相关论文
共 50 条
  • [21] Fuzzy prime and maximal filters of residuated lattices
    Kadji, Albert
    Lele, Celestin
    Tonga, Marcel
    SOFT COMPUTING, 2017, 21 (08) : 1913 - 1922
  • [22] Join hesitant fuzzy filters of residuated lattices
    Muhiuddin, G.
    Aldhafeeri, Shuaa
    Muhiuddin, G. (chishtygm@gmail.com), 1600, Forum-Editrice Universitaria Udinese SRL (43): : 100 - 114
  • [23] Join hesitant fuzzy filters of residuated lattices
    Muhiuddin, G.
    Aldhafeeri, Shuaa
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 100 - 114
  • [24] Hesitant fuzzy filters and hesitant fuzzy G-filters in residuated lattices
    Muhiuddin, G.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (02) : 394 - 404
  • [25] Several types of hesitant fuzzy filters on residuated lattices
    Liu, Zhi Qiang
    Ma, Zhen Ming
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (03) : 3949 - 3956
  • [26] L-fuzzy filters on complete residuated lattices
    Ramadan, Ahmed A. A.
    SOFT COMPUTING, 2023, 27 (21) : 15497 - 15507
  • [27] (∈,∈ Vq)-fuzzy t-filters on residuated lattices
    Zhang, Huarong
    Li, Qingguo
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (04) : 1521 - 1526
  • [28] L-fuzzy filters on complete residuated lattices
    Ahmed A. Ramadan
    Soft Computing, 2023, 27 : 15497 - 15507
  • [29] THE LATTICES OF L-FUZZY STATE FILTERS IN STATE RESIDUATED LATTICES
    He, Pengfei
    Wang, Juntao
    Yang, Jiang
    MATHEMATICA SLOVACA, 2020, 70 (06) : 1289 - 1306
  • [30] IMTL(MV)-filters and fuzzy IMTL(MV)-filters of residuated lattices
    Zhang, Xiaohong
    Zhou, Huijie
    Mao, Xiaoyan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (02) : 589 - 596
12345