ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Submit Manuscript send
International Journal of Neutrosophic Science
Full Length Article

Volume 26 • Issue 1 • PP: 404-414 • 2025

Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension

Nasreen kausar 1*
mail
,
Swarnakar Dornala 2
mail
,
M. S. Malchijah Raj 3
mail
,
Ebru Ozbilge 4
mail
,
Emre Ozbilge 5
mail
1Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey
2Department of Mathematics, VNR Vignanajyothi institute of Engineering and Technology -Hyderabad, Telangana state, 500090, India
3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
4College of Business Administration, American University of the Middle East, Kuwait
5Department of Computer Engineering, Cyprus International University, Nicosia, 99258, North Cyprus, Turkey
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.260132
format_quote Cite this article
verified

Open Access & Copyright

© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: November 14, 2024 Revised: January 17, 2025 Accepted: February 13, 2025
PDF Icon View PDF open_in_new

Abstract

 In this paper, we present novel techniques for the logarithmic neutrosophic interaction (LogNI) aggregating operator. The new averaging and geometric operations of LogNI numbers are studied using the universal aggregation function. The LogNI are satisfied some algebraic properties. Four novel aggregating operators are presented: LogNI weighted averaging, LogNI weighted geometric, generalized LogNI weighted averaging, and generalized LogNI weighted geometric.

Keywords

&nbsp Aggregating operator LogNIWA LogNIWG GLogNIWA GLogNIWG

References

[1] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353.

[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1), (1986), 87-96.

[3] R.R. Yager, Pythagorean membership degrees in multi criteria decision making, IEEE Trans. Fuzzy Systems, 22, (2014), 958-965.

[4] D. Liang and Z. Xu, The new extension of TOPSIS method for multiple criteria decision making with hesitant Pythagorean fuzzy sets, Applied Soft Computing, 60, (2017), 167-179.

[5] F. Smarandache, A unifying field in logics, Neutrosophy neutrosophic probability, set and logic, American Research Press, Rehoboth, (1999).

[6] T. Senapati, R.R. Yager, Fermatean, fuzzy sets. J. Ambient Intell. Humaniz. Comput. 11, (2020), 663- 674.

[7] M. Palanikumar, K. Arulmozhi, A Iampan, Multi criteria group decision making based on VIKOR and TOPSIS methods for Fermatean fuzzy soft with aggregation operators, ICIC Express Letters 16 (10), (2022), 1129–1138.

[8] Cuong B.C, Kreinovich V, Picture fuzzy sets a new concept for computational intelligence problems, third world congress on information and communication technologies, WICT 2013. IEEE,1-6.

[9] Ashraf S, Abdullah S and Mahmood T, Spherical fuzzy Dombi aggregation operators and their application in group decision making problems, Journal of Ambient Intelligence and Humanized Computing, (2019), 1-19.

[10] Jin, H., Ashraf, S., Abdullah, S., Qiyas, M., Bano, M. and Zeng, S, Linguistic spherical fuzzy aggregation operators and their applications in multi-attribute decision making problems, Mathematics, 7(5), 2019, 413.

 

[11] Rafiq, M., Ashraf, S., Abdullah, S., Mahmood, T. and Muhammad, S, The coe similarity measures of spherical fuzzy sets and their applications in decision making. Journal of Intelligent & Fuzzy Systems, 36(6), 2019, 6059-6073.

Cite This Article

Choose your preferred format

format_quote
kausar, Nasreen, Dornala, Swarnakar, Raj, M. S. Malchijah, Ozbilge, Ebru, Ozbilge, Emre. "Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 404-414. DOI: https://doi.org/10.54216/IJNS.260132
kausar, N., Dornala, S., Raj, M., Ozbilge, E., Ozbilge, E. (2025). Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension. International Journal of Neutrosophic Science, Volume 26(Issue 1), 404-414. DOI: https://doi.org/10.54216/IJNS.260132
kausar, Nasreen, Dornala, Swarnakar, Raj, M. S. Malchijah, Ozbilge, Ebru, Ozbilge, Emre. "Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 404-414. DOI: https://doi.org/10.54216/IJNS.260132
kausar, N., Dornala, S., Raj, M., Ozbilge, E., Ozbilge, E. (2025) 'Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 404-414. DOI: https://doi.org/10.54216/IJNS.260132
kausar N, Dornala S, Raj M, Ozbilge E, Ozbilge E. Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):404-414. DOI: https://doi.org/10.54216/IJNS.260132
N. kausar, S. Dornala, M. Raj, E. Ozbilge, E. Ozbilge, "Logarithmic neutrosophic logical communicated to basic interaction aggregating operators using various finite weighted with extension," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 404-414, 2025. DOI: https://doi.org/10.54216/IJNS.260132
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready