FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS

V. Madhuri; M. Rowthri; J. Mahalakshmi

FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS

Abstract

In this paper, the ideas of fuzzy automata normed linear $\mathfrak{F}^*$-structure spaces and fuzzy automata $\mathfrak{F}^*$-first category spaces are presented and reasonable examples are given. Additionally a few significant properties related with fuzzy automata $\varsigma$-Baire spaces are stated. It is shown that fuzzy automata $\mathfrak{F}^*$-first category space is certainly not a fuzzy automata $\varsigma$-Baire space. Further in fuzzy automata $\varsigma$-Baire space, there is no fuzzy automata $\mathfrak{F}^*$-first category subsystem. At last, as an application of fuzzy automata normed linear $\mathfrak{F}^*$-structure spaces in fuzzy $T_i$ ($i = 0, 1$) spaces are identified.

Keywords

Thanks

We would like to thank the reviewers for the thoughtful comments and efforts towards improving our manuscript.

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Details

Primary Language

English

Subjects

Algebra and Number Theory, Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

V. Madhuri This is me
0000-0003-1036-2892
India

M. Rowthri ^* This is me
0000-0003-2798-9667
India

J. Mahalakshmi This is me
0009-0002-6272-5114
India

Publication Date

December 6, 2025

Submission Date

December 7, 2024

Acceptance Date

March 31, 2025

Published in Issue

Year 2025 Volume: 15 Number: 12

IZ

https://izlik.org/JA73FR23SB

Cite

RIS / Bibtex

APA

Madhuri, V., Rowthri, M., & Mahalakshmi, J. (2025). FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS. TWMS Journal of Applied and Engineering Mathematics, 15(12), 2786-2797. https://izlik.org/JA73FR23SB

AMA

1.Madhuri V, Rowthri M, Mahalakshmi J. FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS. JAEM. 2025;15(12):2786-2797. https://izlik.org/JA73FR23SB

Chicago

Madhuri, V., M. Rowthri, and J. Mahalakshmi. 2025. “FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 15 (12): 2786-97. https://izlik.org/JA73FR23SB.

EndNote

Madhuri V, Rowthri M, Mahalakshmi J (December 1, 2025) FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS. TWMS Journal of Applied and Engineering Mathematics 15 12 2786–2797.

IEEE

[1]V. Madhuri, M. Rowthri, and J. Mahalakshmi, “FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS”, JAEM, vol. 15, no. 12, pp. 2786–2797, Dec. 2025, [Online]. Available: https://izlik.org/JA73FR23SB

ISNAD

Madhuri, V. - Rowthri, M. - Mahalakshmi, J. “FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS”. TWMS Journal of Applied and Engineering Mathematics 15/12 (December 1, 2025): 2786-2797. https://izlik.org/JA73FR23SB.

JAMA

1.Madhuri V, Rowthri M, Mahalakshmi J. FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS. JAEM. 2025;15:2786–2797.

MLA

Madhuri, V., et al. “FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 12, Dec. 2025, pp. 2786-97, https://izlik.org/JA73FR23SB.

Vancouver

1.V. Madhuri, M. Rowthri, J. Mahalakshmi. FUZZY AUTOMATA $\mathfrak{F}^*$-FIRST CATEGORY SUBSYSTEMS. JAEM [Internet]. 2025 Dec. 1;15(12):2786-97. Available from: https://izlik.org/JA73FR23SB