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 |
| _version_ | 1811235355633909760 |
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| author | Rana Muhammad Zulqarnain Aiyared Iampan Imran Siddique Hamiden Abd El-Wahed Khalifa |
| author_facet | Rana Muhammad Zulqarnain Aiyared Iampan Imran Siddique Hamiden Abd El-Wahed Khalifa |
| author_sort | Rana Muhammad Zulqarnain |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T11:49:26Z |
| format | Article |
| id | doaj.art-65f7d0b7b776490bb352992fd4b65a2a |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-12T11:49:26Z |
| publishDate | 2022-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-65f7d0b7b776490bb352992fd4b65a2a2022-12-22T03:34:13ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-09-015120522010.5281/zenodo.7135277Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM ProblemRana Muhammad ZulqarnainAiyared IampanImran SiddiqueHamiden Abd El-Wahed KhalifaThe 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. http://fs.unm.edu/NSS/FundamentalOperationsNeutrosophic13.pdfmultipolar interval-valued neutrosophic setmultipolar interval-valued neutrosophic soft setmpiwnswa operator |
| spellingShingle | 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 Neutrosophic Sets and Systems multipolar interval-valued neutrosophic set multipolar interval-valued neutrosophic soft set mpiwnswa operator |
| title | Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem |
| title_full | Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem |
| title_fullStr | Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem |
| title_full_unstemmed | Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem |
| title_short | Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem |
| title_sort | some fundamental operations for multi polar interval valued neutrosophic soft set and a decision making approach to solve mcdm problem |
| topic | multipolar interval-valued neutrosophic set multipolar interval-valued neutrosophic soft set mpiwnswa operator |
| url | http://fs.unm.edu/NSS/FundamentalOperationsNeutrosophic13.pdf |
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