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

被引：0

作者：

Zulqarnain, Rana Muhammad ^{[1
]}

Iampan, Aiyared ^{[2
]}

Siddique, Imran ^{[3
]}

Khalifa, Hamiden Abd El-Wahed ^{[4
,5
]}

机构：

[1] Department of Mathematics, University of Management and Technology Lahore, Sialkot Campus, Pakistan

[2] Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang,Phayao,56000, Thailand

[3] Department of Mathematics, University of Management and Technology Lahore, Pakistan

[4] Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya, Saudi Arabia

[5] Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

来源：

Neutrosophic Sets and Systems | 2022年 / 51卷

关键词：

Mathematical operators - Set theory;

D O I：

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中图分类号：

学科分类号：

摘要：

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. © 2022, Neutrosophic Sets and Systems. All Rights Reserved.

引用

页码：205 / 220