Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making
We investigate multiple criteria group decision-making problems in which there are priority relationships between the decision elements (criteria and experts), and decision information provided by decision makers takes the form of multigranular uncertain linguistic information. Firstly, some operati...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/857916 |
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| author | Ding-Hong Peng Tie-Dan Wang Chang-Yuan Gao Hua Wang |
| author_facet | Ding-Hong Peng Tie-Dan Wang Chang-Yuan Gao Hua Wang |
| author_sort | Ding-Hong Peng |
| collection | DOAJ |
| description | We investigate multiple criteria group decision-making problems in which there are priority relationships between the decision elements (criteria and experts), and decision information provided by decision makers takes the form of multigranular uncertain linguistic information. Firstly, some operational laws and possibility degree of multi-granular uncertain linguistic variables are introduced. Then, some new linguistic aggregation operators based on the prioritized aggregation operator, such as the multigranular uncertain linguistic prioritized weighted average (MULPWA) operator and the multigranular uncertain linguistic prioritized ordered weighted average (MULPOWA) operator, are developed and their desirable properties are studied. The prominent characteristics of these proposed operators are that they can aggregate directly the uncertain linguistic variables whose values form the linguistic term sets with different granularities and convey the prioritization phenomenon among the aggregated arguments. Furthermore, based on the MULPWA and MULPOWA operators, an approach to deal with multiple criteria group decision-making problems under multi-granular uncertain linguistic environments is developed. Finally, a practical example is provided to illustrate the multiple criteria group decision-making process. |
| format | Article |
| id | doaj-art-700f3b2a3fdb4b7d8fa2aed345d1da80 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-700f3b2a3fdb4b7d8fa2aed345d1da802025-02-03T01:04:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/857916857916Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision MakingDing-Hong Peng0Tie-Dan Wang1Chang-Yuan Gao2Hua Wang3Institute of Quality Development, Kunming University of Science and Technology, Kunming 650093, ChinaInstitute of Quality Development, Kunming University of Science and Technology, Kunming 650093, ChinaSchool of Management, Harbin University of Science and Technology, Harbin 150040, ChinaInstitute of Quality Development, Kunming University of Science and Technology, Kunming 650093, ChinaWe investigate multiple criteria group decision-making problems in which there are priority relationships between the decision elements (criteria and experts), and decision information provided by decision makers takes the form of multigranular uncertain linguistic information. Firstly, some operational laws and possibility degree of multi-granular uncertain linguistic variables are introduced. Then, some new linguistic aggregation operators based on the prioritized aggregation operator, such as the multigranular uncertain linguistic prioritized weighted average (MULPWA) operator and the multigranular uncertain linguistic prioritized ordered weighted average (MULPOWA) operator, are developed and their desirable properties are studied. The prominent characteristics of these proposed operators are that they can aggregate directly the uncertain linguistic variables whose values form the linguistic term sets with different granularities and convey the prioritization phenomenon among the aggregated arguments. Furthermore, based on the MULPWA and MULPOWA operators, an approach to deal with multiple criteria group decision-making problems under multi-granular uncertain linguistic environments is developed. Finally, a practical example is provided to illustrate the multiple criteria group decision-making process.http://dx.doi.org/10.1155/2013/857916 |
| spellingShingle | Ding-Hong Peng Tie-Dan Wang Chang-Yuan Gao Hua Wang Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making Journal of Applied Mathematics |
| title | Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making |
| title_full | Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making |
| title_fullStr | Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making |
| title_full_unstemmed | Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making |
| title_short | Multigranular Uncertain Linguistic Prioritized Aggregation Operators and Their Application to Multiple Criteria Group Decision Making |
| title_sort | multigranular uncertain linguistic prioritized aggregation operators and their application to multiple criteria group decision making |
| url | http://dx.doi.org/10.1155/2013/857916 |
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