Sine Trigonometric Aggregation Operators with Single-Valued Neutrosophic Z-Numbers: Application in Business Site Selection

Authors

  • Muhammad Kamran Department of mathematics, Thal University, Bhakar, Punjab 30000, Pakistan
  • Nadeem Salamat Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Punjab, Pakistan
  • Muhammad Shazib Hameed Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Punjab, Pakistan
  • Shahid Kalim Khan Department of mathematics, Thal University, Bhakar, Punjab 30000, Pakistan
  • Said Broumi Laboratory of Information Processing, Faculty of Science Ben MSik, University Hassan II, Casablanca, Morocco

Keywords:

Single-valued neutrosophic set, Decision Making, Sine Trigonometric aggregation operator, Znumber

Abstract

Business has a massive effect on both people and society as a whole in today’s culture. Businesses make significant contributions to humanity’s general well-being and progress by promoting economic growth, supporting innovation, producing wealth, and addressing social challenges. However, choosing the right location for a business is a complex task, involving multiple criteria and qualitative and quantitative factors that heavily rely on expert judgement. The researchers propose a unique approach called the SVNZN multi-attributed decision-making method to aid decision-makers in this process. They introduce new operating laws for SVNZNs based on the sine trigonometric (ST) function, known for its periodicity and symmetry over the origin, making
it favorable for decision-makers over multi-time phase parameters. Additionally, novel AOs such as SVNZN weighted averaging and geometric operators are defined to combine SVNZNs effectively. Based on these AOs, a decision-making technique for MADM problems is presented, and its applicability is demonstrated through a numerical example of selecting the best location for a business. To validate and enhance the understanding of these proposed techniques, the researchers conducted a comprehensive comparison analysis, including a sensitivity analysis, considering existing literature on MADM difficulties. Figure 1 provides a thorough graphical
summary by visually representing all of the contributions and outcomes.

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Published

2024-01-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Muhammad Kamran, Nadeem Salamat, Muhammad Shazib Hameed, Shahid Kalim Khan, & Said Broumi. (2024). Sine Trigonometric Aggregation Operators with Single-Valued Neutrosophic Z-Numbers: Application in Business Site Selection. Neutrosophic Sets and Systems, 63, 285-321. https://fs.unm.edu/nss8/index.php/111/article/view/3891

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