CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY

Riyaz Ahmad Padder; Yasir Ahmad Rather

CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY

Abstract

Intuitionistic fuzzy matrix convergence of powers has been studied in the literature. The essential role of the main diagonal elements in the convergence of the power sequence of an intuitionistic fuzzy matrix A is exported at the level of A itself by introducing a new classification. The established theorems cover intuitionistic fuzzy matrices that increase monotonically. For matrices of this type, the convergence index is always smaller than or equal to n. The results are more essential because they lay the foundation for the convergence and oscillation of the power sequence of any intuitionistic fuzzy matrix. On the one hand, the results may be seen as a generalization of the results obtained by certain authors. Furthermore, as a typical case to consider, the necessary and sufficient conditions for an increasing intuitionistic fuzzy matrix A to have the property $A^{n-1}< A^n = A^{n+I }$ were established.

Keywords

Thanks

The authors would like to thank the Editor and reviewer’s for their valuable suggestions and comments to improve this article in the present form.

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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

Riyaz Ahmad Padder ^* This is me
0000-0002-3543-1375
India

Yasir Ahmad Rather This is me
0009-0002-6273-9188
India

Publication Date

December 6, 2025

Submission Date

December 3, 2024

Acceptance Date

April 13, 2025

Published in Issue

Year 2025 Volume: 15 Number: 12

IZ

https://izlik.org/JA98WC46ZT

Cite

RIS / Bibtex

APA

Padder, R. A., & Rather, Y. A. (2025). CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY. TWMS Journal of Applied and Engineering Mathematics, 15(12), 2760-2770. https://izlik.org/JA98WC46ZT

AMA

1.Padder RA, Rather YA. CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY. JAEM. 2025;15(12):2760-2770. https://izlik.org/JA98WC46ZT

Chicago

Padder, Riyaz Ahmad, and Yasir Ahmad Rather. 2025. “CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY”. TWMS Journal of Applied and Engineering Mathematics 15 (12): 2760-70. https://izlik.org/JA98WC46ZT.

EndNote

Padder RA, Rather YA (December 1, 2025) CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY. TWMS Journal of Applied and Engineering Mathematics 15 12 2760–2770.

IEEE

[1]R. A. Padder and Y. A. Rather, “CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY”, JAEM, vol. 15, no. 12, pp. 2760–2770, Dec. 2025, [Online]. Available: https://izlik.org/JA98WC46ZT

ISNAD

Padder, Riyaz Ahmad - Rather, Yasir Ahmad. “CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY”. TWMS Journal of Applied and Engineering Mathematics 15/12 (December 1, 2025): 2760-2770. https://izlik.org/JA98WC46ZT.

JAMA

1.Padder RA, Rather YA. CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY. JAEM. 2025;15:2760–2770.

MLA

Padder, Riyaz Ahmad, and Yasir Ahmad Rather. “CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 12, Dec. 2025, pp. 2760-7, https://izlik.org/JA98WC46ZT.

Vancouver

1.Riyaz Ahmad Padder, Yasir Ahmad Rather. CONVERGENCE ANALYSIS OF INTUITIONISTIC FUZZY MATRICES WITH NEARLY MONOTONE INCREASING PROPERTY. JAEM [Internet]. 2025 Dec. 1;15(12):2760-7. Available from: https://izlik.org/JA98WC46ZT