DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

K. Jency Priya

K. Jency Priya

P.G. and Research Department of Mathematics
St. Joseph's College (Autonomous), Tiruchirappalli - 620 002
Tamilnadu, India

email: jencypriya9@gmail.com

T. Rajaretnam

T. Rajaretnam

P.G. and Research Department of Mathematics
St. Joseph's College (Autonomous), Tiruchirappalli - 620 002
Tamilnadu, India

email: t_rajaretnam@yahoo.com

Title:

Intuitionistic fuzzy monoids in an intuitionistic fuzzy finite automaton with unique membership transition on an input symbol

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Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 383-394

Received: 2020-05-19 , Revised: 2021-02-15 , Accepted: 2022-06-02 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1397

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(\mathscr{A})$ and $S_\mathscr{A}$ from an intuitionistic fuzzy transition function of the given IFAUM $\mathscr{A}$. Also it is proved that $F(\mathscr{A})$ and $S_\mathscr{A}$ are anti-isomorphic as monoids.

Keywords:

intuitionistic fuzzy monoid

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