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

Rana Muhammad  Zulqarnain; Aiyared  Iampan; Imran  Siddique; Hamiden  Abd; El-Wahed  Khalifa

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

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. Retrieved from http://fs.unm.edu/NSS2/index.php/111/article/view/2559