Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem

Authors

  • Rana Muhammad Zulqarnain Department of Mathematics, University of Management and Technology Lahore, Sialkot Campus, Pakistan.
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
  • Imran Siddique Department of Mathematics, University of Management and Technology Lahore, Pakistan
  • Hamiden Abd Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University
  • El-Wahed Khalifa Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

Keywords:

multipolar interval-valued neutrosophic set, multipolar interval-valued neutrosophic soft set, mPIWNSWA operator;, MCDM

Abstract

The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSSs) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set. The mPIVNSSs is the most generalized form of interval-valued neutrosophic soft set. It can accommodate the truthiness, indeterminacy, and falsity in intervals form. We develop some fundamental operations for mPIVNSS such as AND Operator, OR Operator, Truth-favorite, and
False-favorite Operators with their properties. The weighted aggregation operator for mPIVNSS is also established with its properties. Furthermore, the developed mPIVNSWA operator has demonstrated a novel decision-making methodology for mPIVNSS to solve the multi-criteria decision-making (MCDM) problem. Finally, the comparative analysis of the developed algorithm is given with the prevailing techniques.

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Published

2022-08-01

Issue

Vol. 51 (2022): Neutrosophic Sets and Systems

Section

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

License

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Zulqarnain, R. M. ., Iampan, A. ., Siddique, I. ., Abd , H. ., & Khalifa, E.-W. . (2022). Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem. Neutrosophic Sets and Systems, 51, 205-220. http://fs.unm.edu/nss8/index.php/111/article/view/2559