On fuzzy B-algebras over t-norm

被引:0
|
作者
Ko, Jung Mi [1 ]
Ahn, Sun Shin [2 ]
机构
[1] Gangneung Wonju Natl Univ, Dept Math, Kangnung 210702, South Korea
[2] Dongguk Univ, Dept Math Educ, Seoul 100715, South Korea
关键词
B-algebra; T-fuzzy subalgebra/normal; T-product;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we introduce the notion of T-fuzzy subalgebra/normal of B-algebras using a t-norm T. Then some related properties of them are investigated. We discuss the direct product and T-product of T-fuzzy normal subalgebras of B-algebras. We also generalize the idea to the product of T-fuzzy normal subalgebras of B-algebras.
引用
收藏
页码:975 / 983
页数:9
相关论文
共 50 条
  • [41] The Role of a T-norm and Partitioning in Fuzzy Association Analysis
    Kupka, Jiri
    Rusnok, Pavel
    STRENGTHENING LINKS BETWEEN DATA ANALYSIS AND SOFT COMPUTING, 2015, 315 : 283 - 291
  • [42] Equational Characterization of the Subvarieties of BL Generated by t-norm Algebras
    Fransesc Esteva
    Lluís Godo
    Franco Montagna
    Studia Logica, 2004, 76 (2) : 161 - 200
  • [43] On the predicate logics of continuous t-norm BL-algebras
    Montagna, F
    ARCHIVE FOR MATHEMATICAL LOGIC, 2005, 44 (01) : 97 - 114
  • [44] Involutive Monoidal T-norm Based Algebras with Internal States
    He, Pengfei
    Wang, Juntao
    Zhao, Bin
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2018, 31 (5-6) : 531 - 565
  • [45] The complexity of fuzzy εL under the Lukasiewicz T-norm
    Borgwardt, Stefan
    Cerami, Marco
    Penaloza, Rafael
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2017, 91 : 179 - 201
  • [46] A fuzzy logic for the revised drastic product t-norm
    San-Min Wang
    Soft Computing, 2007, 11 (6) : 591 - 591
  • [47] Fuzzy control technique based on continuous T-norm and S-norm
    Chen, Dan
    He, Huacan
    Wang, Hui
    Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2001, 18 (05):
  • [48] SOME OPERATIONS OVER INTUITIONISTIC FUZZY MATRICES BASED ON HAMACHER T-NORM AND T-CONORM
    Silambarasan, I
    Sriram, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 541 - 551
  • [49] On Companion B-algebras
    Naingue, Lynnel D.
    Vilela, Jocelyn P.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (03): : 1248 - 1259
  • [50] Fuzzy control systems based on parametric t-norm function
    Tick, J.
    SACI 2007: 4th International Symposium on Applied Computational Intelligence and Informatics, Proceedings, 2007, : 215 - 218