Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges
There exists the indeterminate situations of truth, falsity, indeterminacy degrees due to the uncertainty and inconsistency of decision makers’ arguments in a complicated decision making (DM) problem. Then, existing neutrosophic set cannot describe the indeterminate information of truth, falsity, in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2020-06-01
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| Series: | Journal of Civil Engineering and Management |
| Subjects: | |
| Online Access: | https://www.tede.vgtu.lt/index.php/JCEM/article/view/12919 |
| _version_ | 1818821616753180672 |
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| author | Shigui Du Jun Ye Rui Yong Fangwei Zhang |
| author_facet | Shigui Du Jun Ye Rui Yong Fangwei Zhang |
| author_sort | Shigui Du |
| collection | DOAJ |
| description | There exists the indeterminate situations of truth, falsity, indeterminacy degrees due to the uncertainty and inconsistency of decision makers’ arguments in a complicated decision making (DM) problem. Then, existing neutrosophic set cannot describe the indeterminate information of truth, falsity, indeterminacy degrees. It is noted that the simplified neutrosophic set (SNS) is depicted by truth, falsity, indeterminacy degrees, while a neutrosophic number (NN) can be flexibly depicted by its determinate part and its indeterminate part. Regarding the indeterminate situations of truth, falsity, indeterminacy degrees in indeterminate DM problems, this study first presents a simplified neutrosophic indeterminate set (SNIS) to express the hybrid information of SNS and NN and defines the score, accuracy, and certainty functions of simplified neutrosophic indeterminate elements (SNIEs) with indeterminate ranges to compare SNIEs. Then, we introduce a SNIE weighted arithmetic averaging (SNIEWAA) operator and a SNIE weighted geometric averaging (SNIEWGA) operator to aggregate simplified neutrosophic indeterminate information. Next, a multi-attribute DM approach with decision makers’ indeterminate ranges is established regarding the SNIEWAA and SNIEWGA operators in SNIS setting. Finally, the proposed DM approach is applied in a DM example on choosing a suitable slope design scheme to indicate the applicability and suitability of the proposed approach. |
| first_indexed | 2024-12-18T23:11:02Z |
| format | Article |
| id | doaj.art-160d7bd36ceb48979ccd2493b9e56fa0 |
| institution | Directory Open Access Journal |
| issn | 1392-3730 1822-3605 |
| language | English |
| last_indexed | 2024-12-18T23:11:02Z |
| publishDate | 2020-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Journal of Civil Engineering and Management |
| spelling | doaj.art-160d7bd36ceb48979ccd2493b9e56fa02022-12-21T20:48:20ZengVilnius Gediminas Technical UniversityJournal of Civil Engineering and Management1392-37301822-36052020-06-0126610.3846/jcem.2020.12919Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate rangesShigui Du0Jun Ye1Rui Yong2Fangwei Zhang3Institute of Rock Mechanics, Ningbo University, 315211 Ningbo, P. R. ChinaInstitute of Rock Mechanics, Ningbo University, 315211 Ningbo, P. R. China; Department of Civil Engineering, Shaoxing University, 312000 Shaoxing, P. R. ChinaDepartment of Civil Engineering, Shaoxing University, 312000 Shaoxing, P. R. ChinaInstitute of Rock Mechanics, Ningbo University, 315211 Ningbo, P. R. ChinaThere exists the indeterminate situations of truth, falsity, indeterminacy degrees due to the uncertainty and inconsistency of decision makers’ arguments in a complicated decision making (DM) problem. Then, existing neutrosophic set cannot describe the indeterminate information of truth, falsity, indeterminacy degrees. It is noted that the simplified neutrosophic set (SNS) is depicted by truth, falsity, indeterminacy degrees, while a neutrosophic number (NN) can be flexibly depicted by its determinate part and its indeterminate part. Regarding the indeterminate situations of truth, falsity, indeterminacy degrees in indeterminate DM problems, this study first presents a simplified neutrosophic indeterminate set (SNIS) to express the hybrid information of SNS and NN and defines the score, accuracy, and certainty functions of simplified neutrosophic indeterminate elements (SNIEs) with indeterminate ranges to compare SNIEs. Then, we introduce a SNIE weighted arithmetic averaging (SNIEWAA) operator and a SNIE weighted geometric averaging (SNIEWGA) operator to aggregate simplified neutrosophic indeterminate information. Next, a multi-attribute DM approach with decision makers’ indeterminate ranges is established regarding the SNIEWAA and SNIEWGA operators in SNIS setting. Finally, the proposed DM approach is applied in a DM example on choosing a suitable slope design scheme to indicate the applicability and suitability of the proposed approach.https://www.tede.vgtu.lt/index.php/JCEM/article/view/12919simplified neutrosophic indeterminate setsimplified neutrosophic indeterminate elementsimplified neutrosophic indeterminate element weighted arithmetic averaging (SNIEWAA) operatorsimplified neutrosophic indeterminate element weighted geometric averaging (SNIEWGA) operatordecision making |
| spellingShingle | Shigui Du Jun Ye Rui Yong Fangwei Zhang Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges Journal of Civil Engineering and Management simplified neutrosophic indeterminate set simplified neutrosophic indeterminate element simplified neutrosophic indeterminate element weighted arithmetic averaging (SNIEWAA) operator simplified neutrosophic indeterminate element weighted geometric averaging (SNIEWGA) operator decision making |
| title | Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges |
| title_full | Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges |
| title_fullStr | Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges |
| title_full_unstemmed | Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges |
| title_short | Simplified neutrosophic indeterminate decision making method with decision makers’ indeterminate ranges |
| title_sort | simplified neutrosophic indeterminate decision making method with decision makers indeterminate ranges |
| topic | simplified neutrosophic indeterminate set simplified neutrosophic indeterminate element simplified neutrosophic indeterminate element weighted arithmetic averaging (SNIEWAA) operator simplified neutrosophic indeterminate element weighted geometric averaging (SNIEWGA) operator decision making |
| url | https://www.tede.vgtu.lt/index.php/JCEM/article/view/12919 |
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