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] Nodal filters in Residuated Lattices
    Bakhshi, Mahmood
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (05) : 2555 - 2562
  • [22] Ideals and fuzzy ideals on residuated lattices
    Liu, Yi
    Qin, Ya
    Qin, Xiaoyan
    Xu, Yang
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (01) : 239 - 253
  • [23] Characterization of extended filters in residuated lattices
    Kondo, Michiro
    SOFT COMPUTING, 2014, 18 (03) : 427 - 432
  • [24] Characterization of extended filters in residuated lattices
    Michiro Kondo
    Soft Computing, 2014, 18 : 427 - 432
  • [25] Rough filters based on residuated lattices
    Saeed Rasouli
    Bijan Davvaz
    Knowledge and Information Systems, 2019, 58 : 399 - 424
  • [26] Some decompositions of filters in residuated lattices
    Piciu, Dana
    Dan, Christina Theresia
    Chirtes, Florentina
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (01): : 211 - 231
  • [27] Relationships between generalized Bosbach states and L-filters on residuated lattices
    Zhen Ming Ma
    Wei Yang
    Soft Computing, 2016, 20 : 3125 - 3138
  • [28] Some types of filters in residuated lattices
    Dumitru Buşneag
    Dana Piciu
    Soft Computing, 2014, 18 : 825 - 837
  • [29] A note on some filters in residuated lattices
    Xiao, Lei
    Liu, Lianzhen
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (01) : 493 - 500
  • [30] Rough filters based on residuated lattices
    Rasouli, Saeed
    Davvaz, Bijan
    KNOWLEDGE AND INFORMATION SYSTEMS, 2019, 58 (02) : 399 - 424
12345