Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem
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 truthines...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2022-09-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/FundamentalOperationsNeutrosophic13.pdf |
| Summary: | 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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| ISSN: | 2331-6055 2331-608X |