Algebraic properties of implication-based intuitionistic fuzzy finite state machine over a finite group

被引：0
|
作者：
Selvarathi, M. [1 ]
机构：
[1] Karunya Inst Technol & Sci, Dept Math, Coimbatore 641114, Tamil Nadu, India
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2021年 / 24卷 / 01期
关键词：
Implication-based intuitionistic fuzzy subgroup; Implication-based intuitionistic fuzzy semiautomaton; Implication-based intuitionistic fuzzy kernel; Implication; based intuitionistic fuzzy subsemiautomaton; PRODUCT;
D O I：
10.1080/09720529.2020.1826165
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extensive study is performed on the already constituted algebraic structure called the implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) over a finite group that compromises of implication-based intuitionistic fuzzy kernel and implication-based intuitionistic fuzzy subsemiautomaton. In this paper, the necessary and sufficient condition for an implication-based intuitionistic fuzzy normal subgroup to be an implication-based intuitionistic fuzzy kernel of an implication-based intuitionistic fuzzy semiautomaton is developed. In addition, the fundamental and adequate condition for an implication-based intuitionistic fuzzy subgroup to be an implication-based intuitionistic fuzzy subsemiautomaton of an IB-IFSA is formulated. Moreover, the condition for an implication-based intuitionistic fuzzy kernel of the an IB-IFSA to be implication-based intuitionistic fuzzy subsemiautomaton is also established.
引用
收藏
页码：195 / 207
页数：13
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