Bipolar soft neighborhoods with application in decision-making

Authors

  • Saif Z. Hameed
    Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, 10001, Iraq
  • Heba I. Mustafa
    Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44511, Egypt
  • Abdelaziz E. Radwan
    Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, 11311, Egypt

Keywords:

Bipolar soft set, Binary bipolar soft set, Bipolar soft approximation, Bipolar soft neighborhoods

Abstract

This paper introduces bipolar soft (BS) neighborhood structures within the framework of soft set theory. First, several properties associated with lower and upper approximations based on a binary BS relation are examined, and the proposed approximation operators are shown to satisfy several fundamental properties. Next, an additional structure formulated through BS neighborhoods is explored. The concept of bipolar soft NjBS-neighborhood spaces is investigated, and their main characteristics are analyzed. Two types of topologies, overline{T}_zeta   and underline{T}_zeta, induced by bipolar soft reflexive relations are then characterized. These topological structures are used to approximate rough sets, and a direct method is proposed to generate such topologies from the underlying relations. Finally, a numerical example is provided to illustrate the applicability of the proposed approach to decision-making.

Dimensions

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Q1

Published

2026-08-04

How to Cite

Bipolar soft neighborhoods with application in decision-making. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3337. https://doi.org/10.46481/jnsps.2026.3337

Issue

Volume 8, Issue 3, August 2026 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2026 Saif Z. Hameed, Heba I. Mustafa, Abdelaziz E. Radwan (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Bipolar soft neighborhoods with application in decision-making. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3337. https://doi.org/10.46481/jnsps.2026.3337

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