A novel score and accuracy function for neutrosophic sets and their real-world applications to multi-criteria decision-making process
The purpose of this work is to understand the ranking order of the neutrosophic sets, where the uncertain or ambiguous information/data is stored in the terms of three independent variables i.e., degree of truthfulness, degree of indeterminacy, and degree of falseness. There exist many ranking to...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NovelScoreAccuracyFunctions11.pdf |
| Summary: | The purpose of this work is to understand the ranking order of the neutrosophic sets,
where the uncertain or ambiguous information/data is stored in the terms of three independent
variables i.e., degree of truthfulness, degree of indeterminacy, and degree of falseness. There exist
many ranking tools in decision-making (DM) like score function (SF) and accuracy function (AF)
that help to rank the single-valued neutrosophic set (SVNS) and the interval-valued neutrosophic
set (IVNS) to make a better choice among all the available alternatives. An intensive study about all
the existing score functions and an accuracy function reveals that the existing ranking method for
SVNS and IVNS in DM problems holds for certain kinds of neutrosophic information and has its
limitations. To validate these observations some well-defined examples are chosen, illustrating that
the existing score functions and accuracy functions are like special cases for certain kinds of
neutrosophic data. Since nothing in this world is an ultimate truth, hence this existing gap is a real
motivation to come up with a more efficient SF and AF that would rank SVNS and IVNS in the
real-life problems to make a better selection among all the available alternatives in DM problems in
an efficient way. Hence, a new SF and AF have been proposed and multi-criteria decision-making
(MCDM) method is developed based on these proposed SF and AF. Furthermore, a real-life
problem from our immediate surroundings is taken and solved successfully, and also a
comparative analysis of the solutions for the existing problems is made in detail. |
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| ISSN: | 2331-6055 2331-608X |