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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 1PP: 234-242 • 2025

New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set

D. Mahendar 1* ,
R. Balaji 2 ,
Nasreen Kausar 3 ,
Tonguc Cagin 4
1B V Raju Institute of Technology, Narsapur Medak-Dist, Telangana State, 502313, India
2Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
3Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey
4College of Business Administration, American University of the Middle East, Kuwait
* Corresponding Author.
Received: October 08, 2024 Revised: January 06, 2025 Accepted: February 17, 2025

Abstract

In this work, we present novel techniques for the reciprocal fractional floor function applied neutrosophic set (RFFFNS) via interaction aggregating operator. The neutrosophic set combined with the reciprocal fractional floor operator. The geometric interaction operations of neutrosophic numbers and their new averaging are studied using the universal aggregation function. The RFFFNS are idempotent, boundedness compatible, commutative, and associative. Four new interaction aggregating operators are introduced: RFFFNS interaction weighted averaging, RFFFNS interaction weighted geometric, generalized RFFFNS interaction weighted averaging, and generalized RFFFNS interaction weighted geometric. The aggregation functions are commonly assumed to be represented by the Euclidean distance, Hamming distance, and score values.

Keywords

Aggregating operator RFFFNSIWA RFFFNSIWG GRFFFNSIWA GRFFFNSIWG

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Mahendar, D., Balaji, R., Kausar, Nasreen, Cagin, Tonguc. "New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 234-242. DOI: https://doi.org/10.54216/IJNS.260120
Mahendar, D., Balaji, R., Kausar, N., Cagin, T. (2025). New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set. International Journal of Neutrosophic Science, Volume 26(Issue 1), 234-242. DOI: https://doi.org/10.54216/IJNS.260120
Mahendar, D., Balaji, R., Kausar, Nasreen, Cagin, Tonguc. "New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 234-242. DOI: https://doi.org/10.54216/IJNS.260120
Mahendar, D., Balaji, R., Kausar, N., Cagin, T. (2025) 'New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 234-242. DOI: https://doi.org/10.54216/IJNS.260120
Mahendar D, Balaji R, Kausar N, Cagin T. New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):234-242. DOI: https://doi.org/10.54216/IJNS.260120
D. Mahendar, R. Balaji, N. Kausar, T. Cagin, "New form of weighted interaction aggregating operators communicated with the reciprocal fractional floor function via the neutrosophic set," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 234-242, 2025. DOI: https://doi.org/10.54216/IJNS.260120
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