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
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
  • [1] Algebraic properties of implication-based intuitionistic fuzzy finite state machine over a finite group
    Selvarathi, M.
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2021, 24 (01): : 195 - 207
  • [2] On some properties of fuzzy semiautomaton over a finite group
    Das, P
    INFORMATION SCIENCES, 1997, 101 (1-2) : 71 - 84
  • [3] Product of Implication-Based Intuitionistic Fuzzy Semiautomatons over Finite Groups
    Selvarathi, M.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2019, 15 (03) : 503 - 515
  • [4] Properties and algorithmic improvement in discovering fuzzy implication-based association rules
    Yan, P
    Chen, GQ
    PROCEEDINGS OF THE 7TH JOINT CONFERENCE ON INFORMATION SCIENCES, 2003, : 131 - 134
  • [5] Implication-based fuzzy ternary subsemigroups in ternary semigroups
    Rehman, Noor
    JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA, 2018, 46 (03): : 423 - 430
  • [6] A Fuzzy Implication-Based Approach for Validating Climatic Teleconnections
    Makariadis, Stefanos
    Papadopoulos, Basil
    MATHEMATICS, 2022, 10 (15)
  • [7] Mining implication-based fuzzy association rules in databases
    Hüllermeier, E
    Beringer, J
    INTELLIGENT SYSTEMS FOR INFORMATION PROCESSING: FROM REPRESENTATION TO APPLICATIONS, 2003, : 327 - 337
  • [8] Preference implication-based approach to ranking fuzzy numbers
    Dombi, J.
    Jonas, T.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2021, 18 (04): : 51 - 68
  • [9] Implication-based models of monotone fuzzy rule bases
    Stepnicka, M.
    De Baets, B.
    FUZZY SETS AND SYSTEMS, 2013, 232 : 134 - 155
  • [10] Implication-Based Support Measures for Fuzzy Association Rules
    Iancu, Ion
    Gabroveanu, Mihai
    Cosulschi, Mirel
    Constantinescu, Nicolae
    NINTH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING, PROCEEDINGS, 2007, : 144 - 150