Methods for probabilistic decision making with linguistic information
With respect to decision making problems by using probabilities, immediate probabilities and information that can be represented with linguistic labels, some new decision analysis are proposed. Firstly, we shall develop three new aggregation operators: generalized probabilistic 2-tuple weighted aver...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2014-06-01
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| Series: | Technological and Economic Development of Economy |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/TEDE/article/view/3411 |
| _version_ | 1811191520272842752 |
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| author | Guiwu Wei Xiaofei Zhao |
| author_facet | Guiwu Wei Xiaofei Zhao |
| author_sort | Guiwu Wei |
| collection | DOAJ |
| description | With respect to decision making problems by using probabilities, immediate probabilities and information that can be represented with linguistic labels, some new decision analysis are proposed. Firstly, we shall develop three new aggregation operators: generalized probabilistic 2-tuple weighted average (GP-2TWA) operator, generalized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operator and generalized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator. These operators use the weighted average (WA) operator, the ordered weighted average (OWA) operator, linguistic information, probabilistic information and immediate probabilistic information. They are quite useful because they can assess the uncertain information within the problem by using both linguistic labels and the probabilistic information that considers the attitudinal character of the decision maker. In these approaches, alternative appraisal values are calculated by the aggregation of 2-tuple linguistic information. Thus, the ranking of alternative or selection of the most desirable alternative(s) is obtained by the comparison of 2-tuple linguistic information. Finally, we give an illustrative example about selection of strategies to verify the developed approach and to demonstrate its feasibility and practicality.
First published online: 28 Jan 2014 |
| first_indexed | 2024-04-11T15:06:08Z |
| format | Article |
| id | doaj.art-6ae8647216484ed08734e74fb2eaa8f5 |
| institution | Directory Open Access Journal |
| issn | 2029-4913 2029-4921 |
| language | English |
| last_indexed | 2024-04-11T15:06:08Z |
| publishDate | 2014-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Technological and Economic Development of Economy |
| spelling | doaj.art-6ae8647216484ed08734e74fb2eaa8f52022-12-22T04:16:47ZengVilnius Gediminas Technical UniversityTechnological and Economic Development of Economy2029-49132029-49212014-06-0120210.3846/20294913.2014.869515Methods for probabilistic decision making with linguistic informationGuiwu Wei0Xiaofei Zhao1School of Economics and Management, Chongqing University of Arts and Sciences, 402160 Chongqing, P. R. ChinaSchool of Economics and Management, Chongqing University of Arts and Sciences, 402160 Chongqing, P. R. ChinaWith respect to decision making problems by using probabilities, immediate probabilities and information that can be represented with linguistic labels, some new decision analysis are proposed. Firstly, we shall develop three new aggregation operators: generalized probabilistic 2-tuple weighted average (GP-2TWA) operator, generalized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operator and generalized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator. These operators use the weighted average (WA) operator, the ordered weighted average (OWA) operator, linguistic information, probabilistic information and immediate probabilistic information. They are quite useful because they can assess the uncertain information within the problem by using both linguistic labels and the probabilistic information that considers the attitudinal character of the decision maker. In these approaches, alternative appraisal values are calculated by the aggregation of 2-tuple linguistic information. Thus, the ranking of alternative or selection of the most desirable alternative(s) is obtained by the comparison of 2-tuple linguistic information. Finally, we give an illustrative example about selection of strategies to verify the developed approach and to demonstrate its feasibility and practicality. First published online: 28 Jan 2014https://journals.vgtu.lt/index.php/TEDE/article/view/3411decision makinglinguistic informationprobabilisticgeneralized probabilistic 2-tuple weighted average (GP-2TWA) operatorgeneralized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operatorgeneralized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator |
| spellingShingle | Guiwu Wei Xiaofei Zhao Methods for probabilistic decision making with linguistic information Technological and Economic Development of Economy decision making linguistic information probabilistic generalized probabilistic 2-tuple weighted average (GP-2TWA) operator generalized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operator generalized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator |
| title | Methods for probabilistic decision making with linguistic information |
| title_full | Methods for probabilistic decision making with linguistic information |
| title_fullStr | Methods for probabilistic decision making with linguistic information |
| title_full_unstemmed | Methods for probabilistic decision making with linguistic information |
| title_short | Methods for probabilistic decision making with linguistic information |
| title_sort | methods for probabilistic decision making with linguistic information |
| topic | decision making linguistic information probabilistic generalized probabilistic 2-tuple weighted average (GP-2TWA) operator generalized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operator generalized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator |
| url | https://journals.vgtu.lt/index.php/TEDE/article/view/3411 |
| work_keys_str_mv | AT guiwuwei methodsforprobabilisticdecisionmakingwithlinguisticinformation AT xiaofeizhao methodsforprobabilisticdecisionmakingwithlinguisticinformation |