A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping
In multiattribute group decision-making (MAGDM), due to quantity, fuzziness, and complexity of evaluation linguistic information on commodities, traditional distance measures need to be extended to the integration of evaluation information under a multigranular probabilistic linguistic environment....
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5553343 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850214781295788032 |
|---|---|
| author | Juxiang Wang Jian Yuan Jiajing Zhang Miao Tang |
| author_facet | Juxiang Wang Jian Yuan Jiajing Zhang Miao Tang |
| author_sort | Juxiang Wang |
| collection | DOAJ |
| description | In multiattribute group decision-making (MAGDM), due to quantity, fuzziness, and complexity of evaluation linguistic information on commodities, traditional distance measures need to be extended to the integration of evaluation information under a multigranular probabilistic linguistic environment. A more reasonable method is proposed to deal with the missing value in the evaluation information. On the basis of the generalized distance measures and filling in the missing evaluation information, some novel distance measures between two multigranular probabilistic linguistic term sets (PLTSs) are presented in this paper. Based on these distance measures, three extended decision-making (DM) algorithms based on TOPSIS, the extended TOPSIS, and VIKOR are proposed, which are MGPL-TOPSIS, MGPL-ETOPSIS, and MGPL-VIKOR, respectively. The case analyses on purchasing a car are provided to illustrate the application of the extended multiattribute group decision-making (MAGDM) algorithms. Then, sensitivity analyses based on PT are proposed as well. In particular, the extended TOPSIS method is presented. These results demonstrate the novelty, feasibility, and rationality of the distance measures between two multigranular PLTSs proposed in this paper. |
| format | Article |
| id | doaj-art-8691f64bdcd14a7ba482e660bbbf4ceb |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8691f64bdcd14a7ba482e660bbbf4ceb2025-08-20T02:08:47ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55533435553343A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce ShoppingJuxiang Wang0Jian Yuan1Jiajing Zhang2Miao Tang3School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Applied Mathematics, Anhui Agricultural University, Hefei, Anhui 230036, ChinaIn multiattribute group decision-making (MAGDM), due to quantity, fuzziness, and complexity of evaluation linguistic information on commodities, traditional distance measures need to be extended to the integration of evaluation information under a multigranular probabilistic linguistic environment. A more reasonable method is proposed to deal with the missing value in the evaluation information. On the basis of the generalized distance measures and filling in the missing evaluation information, some novel distance measures between two multigranular probabilistic linguistic term sets (PLTSs) are presented in this paper. Based on these distance measures, three extended decision-making (DM) algorithms based on TOPSIS, the extended TOPSIS, and VIKOR are proposed, which are MGPL-TOPSIS, MGPL-ETOPSIS, and MGPL-VIKOR, respectively. The case analyses on purchasing a car are provided to illustrate the application of the extended multiattribute group decision-making (MAGDM) algorithms. Then, sensitivity analyses based on PT are proposed as well. In particular, the extended TOPSIS method is presented. These results demonstrate the novelty, feasibility, and rationality of the distance measures between two multigranular PLTSs proposed in this paper.http://dx.doi.org/10.1155/2021/5553343 |
| spellingShingle | Juxiang Wang Jian Yuan Jiajing Zhang Miao Tang A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping Complexity |
| title | A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping |
| title_full | A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping |
| title_fullStr | A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping |
| title_full_unstemmed | A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping |
| title_short | A Novel Group Decision-Making Method Based on Generalized Distance Measures of PLTSs on E-Commerce Shopping |
| title_sort | novel group decision making method based on generalized distance measures of pltss on e commerce shopping |
| url | http://dx.doi.org/10.1155/2021/5553343 |
| work_keys_str_mv | AT juxiangwang anovelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT jianyuan anovelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT jiajingzhang anovelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT miaotang anovelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT juxiangwang novelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT jianyuan novelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT jiajingzhang novelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping AT miaotang novelgroupdecisionmakingmethodbasedongeneralizeddistancemeasuresofpltssonecommerceshopping |