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Bipolar fuzzy soft information applied to hypergraphs

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Abstract

Soft set theory is the most developed tool for demonstrating uncertain, vague, not clearly defined objects in a parametric manner. Bipolar uncertainty incorporates a significant role in apprehending discrete and applied mathematical modeling and decision analysis of various physical systems. Graphical and algebraic structures can be studied more precisely when bipolar parametric linguistic properties are to be dealt with, emphasizing the need of a bipolar mathematical approach with soft set theory. In this research paper, we apply the powerful technique of bipolar fuzzy soft sets to hypergraphs and present a novel framework of bipolar fuzzy soft hypergraphs. We elaborate various methods for the construction of bipolar fuzzy soft hypergraphs. We discuss the concept of linearity in bipolar fuzzy soft hypergraphs and study isomorphism properties of bipolar fuzzy soft line graphs of bipolar fuzzy soft hypergraphs, dual and 2-section of bipolar fuzzy soft hypergraphs. We present an application of bipolar fuzzy soft information for analyzing chat conversations of pedophiles and detecting online child grooming cases.

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Authors and Affiliations

  1. Department of Mathematics, Government College Women University, Sialkot, Pakistan

    Musavarah Sarwar

  2. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram

  3. Division of Science and Technology, Department of Mathematics, University of the Education, Lahore, Pakistan

    Sundas Shahzadi

Authors
  1. Musavarah Sarwar
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  2. Muhammad Akram
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  3. Sundas Shahzadi
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Correspondence to Muhammad Akram.

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Sarwar, M., Akram, M. & Shahzadi, S. Bipolar fuzzy soft information applied to hypergraphs. Soft Comput 25, 3417–3439 (2021). https://doi.org/10.1007/s00500-021-05610-x

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