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
  • [31] Fuzzy rough sets based on generalized residuated lattices
    Wang, Chun Yong
    Hu, Bao Qing
    INFORMATION SCIENCES, 2013, 248 : 31 - 49
  • [32] Hausdorffness on generalized intuitionistic fuzzy filters
    Park, JH
    Park, JK
    INFORMATION SCIENCES, 2004, 168 (1-4) : 95 - 110
  • [33] Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices
    Yang, Wei
    FUZZY INFORMATION AND ENGINEERING, 2014, 6 (02) : 223 - 233
  • [34] Filters on Commutative Residuated Lattices
    Kondo, Michiro
    INTEGRATED UNCERTAINTY MANAGEMENT AND APPLICATIONS, 2010, 68 : 343 - 347
  • [35] NORMAL FILTERS IN RESIDUATED LATTICES
    Ahadpanah, Afsaneh
    Torkzadeh, Lida
    MATEMATICHE, 2015, 70 (01): : 81 - 92
  • [36] Prime filters on residuated lattices
    Kondo, Michiro
    Turunen, Esko
    2012 42ND IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL), 2012, : 89 - 91
  • [37] Obstinate filters in residuated lattices
    Saeid, Arsham Borumand
    Pourkhatoun, Manijeh
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (04): : 413 - 422
  • [38] Nodal filters in Residuated Lattices
    Bakhshi, Mahmood
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (05) : 2555 - 2562
  • [39] On generalized derivations in residuated lattices
    Zhu, Kuanyun
    Wang, Jingru
    Yang, Yongwei
    Wang, Jingru (wangjingru@hnu.edu.cn), 1600, International Association of Engineers (50): : 330 - 335
  • [40] Rough filters based on residuated lattices
    Saeed Rasouli
    Bijan Davvaz
    Knowledge and Information Systems, 2019, 58 : 399 - 424
12345