WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE

P. Deivanayagi; Tamılselvan Selvan; Vadivel A

WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE

Abstract

In this paper, we introduce a Pythagorean Fuzzy nano $M$-open set which is the union of Pythagorean Fuzzy nano $\delta \mathcal{P}$-open sets and Pythagorean Fuzzy nano $\theta \mathcal{S}$-open sets in Pythagorean Fuzzy nano topological spaces. Also, we discuss about near open sets, their properties and examples of a Pythagorean Fuzzy nano $ M$-open set. Moreover, we investigate some of their basic properties and examples of Pythagorean Fuzzy nano $M$-interior and $M$-closure in a Pythagorean Fuzzy nano topological spaces. One real life applications, one on better way of shopping, based on this proposed entropy measure are also illustrated.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

P. Deivanayagi This is me
0009-0002-1874-0456
India

Tamılselvan Selvan
0009-0001-7456-5184
India

Vadivel A ^*
0000-0001-5970-035X
India

Publication Date

February 3, 2026

Submission Date

January 5, 2025

Acceptance Date

May 20, 2025

Published in Issue

Year 2026 Volume: 16 Number: 2

IZ

https://izlik.org/JA47DS35CW

Cite

RIS / Bibtex

APA

Deivanayagi, P., Selvan, T., & A, V. (2026). WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE. TWMS Journal of Applied and Engineering Mathematics, 16(2), 281-295. https://izlik.org/JA47DS35CW

AMA

1.Deivanayagi P, Selvan T, A V. WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE. JAEM. 2026;16(2):281-295. https://izlik.org/JA47DS35CW

Chicago

Deivanayagi, P., Tamılselvan Selvan, and Vadivel A. 2026. “WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE”. TWMS Journal of Applied and Engineering Mathematics 16 (2): 281-95. https://izlik.org/JA47DS35CW.

EndNote

Deivanayagi P, Selvan T, A V (February 1, 2026) WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE. TWMS Journal of Applied and Engineering Mathematics 16 2 281–295.

IEEE

[1]P. Deivanayagi, T. Selvan, and V. A, “WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE”, JAEM, vol. 16, no. 2, pp. 281–295, Feb. 2026, [Online]. Available: https://izlik.org/JA47DS35CW

ISNAD

Deivanayagi, P. - Selvan, Tamılselvan - A, Vadivel. “WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE”. TWMS Journal of Applied and Engineering Mathematics 16/2 (February 1, 2026): 281-295. https://izlik.org/JA47DS35CW.

JAMA

1.Deivanayagi P, Selvan T, A V. WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE. JAEM. 2026;16:281–295.

MLA

Deivanayagi, P., et al. “WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 2, Feb. 2026, pp. 281-95, https://izlik.org/JA47DS35CW.

Vancouver

1.P. Deivanayagi, Tamılselvan Selvan, Vadivel A. WEAKER FORMS OF OPEN SETS IN PYTHAGOREAN FUZZY NANO TOPOLOGICAL SPACES AND ITS APPLICATION USING ENTROPY MEASURE. JAEM [Internet]. 2026 Feb. 1;16(2):281-95. Available from: https://izlik.org/JA47DS35CW