Implication-Based Fuzzy Semiautomaton of A Finite Group And Its Properties

被引：1
|
作者：
Rathi, Selva M. [1 ]
Spinneli, Michael Anna J. [1 ]
机构：
[1] Karunya Univ, Dept Math, Coimbatore, Tamil Nadu, India
来源：
INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016) | 2016年 / 1739卷
关键词：
D O I：
10.1063/1.4952490
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Implication-based fuzzy semiautomaton (IBFSA) of a finite group is defined. The ideas of an implication-based fuzzy kernel and implication-based fuzzy subsemiautomaton of an IBFSA over a finite group are developed using the concept of implicationbased fuzzy subgroup and implication-based fuzzy normal subgroup. The necessary and sufficient condition for the implicationbased fuzzy kernel and implication-based fuzzy subsemiautomaton of an IBFSA and few other results are proved in this paper.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Properties of Basic Fuzzy Implication Algebra
    Li, Zhi-wei
    Li, Gui-hua
    FUZZY INFORMATION AND ENGINEERING, VOL 1, 2009, 54 : 128 - +
  • [32] The dizzy number of fuzzy implication operators on finite chains
    Nachtegael, M
    Kerre, EE
    FUZZY LOGIC AND INTELLIGENT TECHNOLOGIES FOR NUCLEAR SCIENCE AND INDUSTRY, 1998, : 29 - 35
  • [33] Recognizing a finite group from the generating properties of its subsets
    Andrea Lucchini
    Annali di Matematica Pura ed Applicata (1923 -), 2021, 200 : 117 - 123
  • [34] Recognizing a finite group from the generating properties of its subsets
    Lucchini, Andrea
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 200 (01) : 117 - 123
  • [35] FUZZY CONCEPT LATTICE BASED ON GOGUEN IMPLICATION OPERATOR AND ITS APPROXIMATE REASONING
    Zheng, Shu-Xian
    Xie, Bin
    Mi, Ju-Sheng
    PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 174 - 177
  • [36] Intuitionistic fuzzy implication operators: Expressions and properties
    Lin L.
    Xia Z.-Q.
    Journal of Applied Mathematics and Computing, 2006, 22 (3) : 325 - 338
  • [37] On Connection Between the Structure of a Finite Group and the Properties of Its Prime Graph
    A. V. Vasil’ev
    Siberian Mathematical Journal, 2005, 46 : 396 - 404
  • [38] On connection between the structure of a finite group and the properties of its prime graph
    Vasil'ev, AV
    SIBERIAN MATHEMATICAL JOURNAL, 2005, 46 (03) : 396 - 404
  • [39] A Note on the Lattice of Fuzzy Subgroups of a Finite Group
    Tarnauceanu, Marius
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2012, 19 (5-6) : 537 - 545
  • [40] Some properties of fuzzy filters in lattice implication algebras
    Xu, Weitao
    Zou, Li
    Chang, Zhiyan
    Bai, Lijun
    Xu, Yang
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,
12345