Heptapartitioned Neutrosophic Soft Topological Spaces and Some Graphical Representation of Sternberg’s Triangular Theory of Love in terms of Heptapartitioned Neutrosophic Soft Sets with the Applications of Some Advanced Machine Learning Techniques

Authors

  • Maha Mohammed Saeed Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, 15 Saudi, Arabia
  • Haitham Alqawaqneh Al-Zaytoonah University of Jordan, Amman 11733, Jordan
  • Ghaziyah Alsahli Mathematics Department College of Science Jouf University Skaka P. O. Box 2014 Saudi Arabia
  • Alaa M. Abd El-latif Department of Mathematics, College of Science, Northern Border University, Arar 91431, 14 Saudi Arabia
  • Yahya Khan Institute of Computing & Information Technology (ICIT), Gomal University, Dera Ismail Khan 29050, KPK, Pakistan
  • Jamil J. Hamja Mathematics and Sciences Department, College of Arts and Sciences, Mindanao State University - Tawi-Tawi College of Technology and Oceanography, 7500 Philippines:
  • Cris L. Armada Vietnam National University Ho Chi Minh City, Linh Trung
  • Arif Mehmood Khattak Department of Mathematics and Statistics, Riphah International University, Sector I- 14, Islamabad, Pakistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6207

Keywords:

Neutrosophic soft set, HPNS points, HPNSTS, HPNS p-open set, set, ????-Means algorithm, machine learning techniques and Heatmaps.

Abstract

The most generalized form of the soft neutrosophic set used in this article is the single valued heptapartitioned neutrosophic soft set (HPNSS). A set theoretic research is completed and some operations on them are defined. We went on to do a thorough investigation on HPNSS and discovered a number of odd characteristics. We built heptapartitioned neutrosophic soft topological spaces (HP-NSTS). Characterization of triangle theory of love is addressed with the help of HPNSTS. Heat map is developed for young boys and young girls separately. The normalized correlation matrix heat map (NCMHM) for young boys and girls is discussed. The analyzation and visualization of the correlation matrix of a data set containing data for Sternberg’s Eight Types of Love for young boys and girls is addressed. K-mean-HPNS-clustering is applied to group the data into K clusters. The elbow approach is used to determine the optimal number of clusters (K) for the K-mean clustering algorithm.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Maha Mohammed Saeed, Haitham Alqawaqneh, Ghaziyah Alsahli, Alaa M. Abd El-latif, Yahya Khan, Jamil J. Hamja, Cris L. Armada, Arif Mehmood Khattak

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How to Cite

Heptapartitioned Neutrosophic Soft Topological Spaces and Some Graphical Representation of Sternberg’s Triangular Theory of Love in terms of Heptapartitioned Neutrosophic Soft Sets with the Applications of Some Advanced Machine Learning Techniques. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6207. https://doi.org/10.29020/nybg.ejpam.v18i3.6207