输入符号上唯一隶属度跃迁的直觉模糊有限自动机中的直觉模糊半群

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2022-10-01 DOI:10.7151/dmgaa.1397

K. Jency Priya, T. Rajaretnam

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引用次数: 0

摘要

摘要考虑了一种直觉模糊有限状态自动机在输入符号(IFAUM)上存在唯一隶属度转换的情况下，赋予隶属度值和非隶属度值。从给定IFAUM的直觉模糊转移函数证明并说明了两个不同的直觉模糊一元群F(置)和S(置)的存在性。并证明了F(置)和S(置)是反同构的幺元。

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Intuitionistic Fuzzy Monoids in an Intuitionistic Fuzzy Finite Automaton with Unique Membership Transition on an Input Symbol

Abstract An intuitionistic fuzzy finite state automaton assigns a membership and nonmembership values in which there is a unique membership transition on an input symbol (IFAUM) is considered. It is proved and illustrated the existence of two different intuitionistic fuzzy monoids F (𝒜) and S𝒜 from an intuitionistic fuzzy transition function of the given IFAUM 𝒜. Also it is proved that F (𝒜) and S𝒜 are anti-isomorphic as monoids.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks