An abstract approach to convex and concave sets under refined neutrosophic set environment
A refined neutrosophic set (RNS) is an extension of a neutrosophic set in which all the uncertain belonging-based entities like belonging-grade, non-belonging-grade, and indeterminate-grade are further categorized into their respective sub-belonging grades, sub-non-belonging-grades, and sub-indeterm...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2023-01-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/ConvexConcaveNeutrosophic17.pdf |
| Summary: | A refined neutrosophic set (RNS) is an extension of a neutrosophic set in which all the uncertain belonging-based entities like belonging-grade, non-belonging-grade, and indeterminate-grade are further categorized into their respective sub-belonging grades, sub-non-belonging-grades, and sub-indeterminate-grades, respectively. In other words, the RNS provides multi sub-grades for each uncertain component of the neutrosophic set. This study is aimed to integrate the classical concepts of convexity and concavity with RNS to make the RNS applicable to various optimization problems.Thus, convex RNS and concave RNS are developed. Some of their important aggregation operations and results are investigated and then modified. |
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| ISSN: | 2331-6055 2331-608X |