Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection
The fuzzy VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) has been used in solving various multi-criteria decision-making problems where triangular fuzzy numbers are utilized in defining decision-makers’ linguistic judgements. Most of the fuzzy VIKOR are built from linguistic variables...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2021-12-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/SingleValuedNeutrosophicVIKOR17.pdf |
| _version_ | 1811337159771160576 |
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| author | Nor Liyana Amalini Mohd Kamal Lazim Abdullah Fu Ming Yee Ilyani Abdullah Nazanin Vafaei |
| author_facet | Nor Liyana Amalini Mohd Kamal Lazim Abdullah Fu Ming Yee Ilyani Abdullah Nazanin Vafaei |
| author_sort | Nor Liyana Amalini Mohd Kamal |
| collection | DOAJ |
| description | The fuzzy VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) has been used in solving various multi-criteria decision-making problems where triangular fuzzy numbers are utilized in defining decision-makers’ linguistic judgements. Most of the fuzzy VIKOR are built from linguistic variables based on fuzzy sets and its generalization such as intuitionistic fuzzy sets. Recent literature suggests that single-valued neutrosophic sets (SVNSs) can offer a better alternative particularly when fuzzy sets have some extent of limitations in handling indeterminacy and uncertainty. This paper proposes the SVNS-VIKOR where single-valued neutrosophic numbers are utilized in defining linguistic variables of VIKOR. Differently from the typical fuzzy VIKOR which directly utilizes fuzzy numbers with a single membership, the proposed method introduces three independent memberships of truth, indeterminacy and false to enhance judgments in the group decision-making environment. The obtained solutions would help policy makers in identifying the best solution that could enhance the efficiency of treating wastewater. |
| first_indexed | 2024-04-13T17:50:51Z |
| format | Article |
| id | doaj.art-d1e18c550f5848e8ad6f5ef16e04f1f8 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-13T17:50:51Z |
| publishDate | 2021-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-d1e18c550f5848e8ad6f5ef16e04f1f82022-12-22T02:36:44ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-12-014725027210.5281/zenodo.5775128Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment SelectionNor Liyana Amalini Mohd KamalLazim AbdullahFu Ming YeeIlyani Abdullah Nazanin VafaeiThe fuzzy VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) has been used in solving various multi-criteria decision-making problems where triangular fuzzy numbers are utilized in defining decision-makers’ linguistic judgements. Most of the fuzzy VIKOR are built from linguistic variables based on fuzzy sets and its generalization such as intuitionistic fuzzy sets. Recent literature suggests that single-valued neutrosophic sets (SVNSs) can offer a better alternative particularly when fuzzy sets have some extent of limitations in handling indeterminacy and uncertainty. This paper proposes the SVNS-VIKOR where single-valued neutrosophic numbers are utilized in defining linguistic variables of VIKOR. Differently from the typical fuzzy VIKOR which directly utilizes fuzzy numbers with a single membership, the proposed method introduces three independent memberships of truth, indeterminacy and false to enhance judgments in the group decision-making environment. The obtained solutions would help policy makers in identifying the best solution that could enhance the efficiency of treating wastewater.http://fs.unm.edu/NSS/SingleValuedNeutrosophicVIKOR17.pdfmulti-criteria decision-makingsingle-valued neutrosophicvikorlinguistic variableswastewater treatmentcompromise solution |
| spellingShingle | Nor Liyana Amalini Mohd Kamal Lazim Abdullah Fu Ming Yee Ilyani Abdullah Nazanin Vafaei Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection Neutrosophic Sets and Systems multi-criteria decision-making single-valued neutrosophic vikor linguistic variables wastewater treatment compromise solution |
| title | Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection |
| title_full | Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection |
| title_fullStr | Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection |
| title_full_unstemmed | Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection |
| title_short | Single Valued Neutrosophic VIKOR and Its Application to Wastewater Treatment Selection |
| title_sort | single valued neutrosophic vikor and its application to wastewater treatment selection |
| topic | multi-criteria decision-making single-valued neutrosophic vikor linguistic variables wastewater treatment compromise solution |
| url | http://fs.unm.edu/NSS/SingleValuedNeutrosophicVIKOR17.pdf |
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