A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information
The traditional multi-attribute group decision making (MAGDM) method needs to be improved to the integration of assessment information under multi-granular probabilistic linguistic environments. Some novel distance measures between two multi-granular probabilistic linguistic term sets (PLTSs) are pr...
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doaj-5ddad63ecc0742d7940732f83aea49f32020-11-24T22:18:45ZengMDPI AGSymmetry2073-89942019-01-0111212710.3390/sym11020127sym11020127A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic InformationJu-Xiang Wang0Hefei University of Technology, Hefei 230009, ChinaThe traditional multi-attribute group decision making (MAGDM) method needs to be improved to the integration of assessment information under multi-granular probabilistic linguistic environments. Some novel distance measures between two multi-granular probabilistic linguistic term sets (PLTSs) are proposed, and distance measures are proved to be reasonable. To calculate the weights of the alternative attributes, the extended cross-entropy method for multi-granular probabilistic linguistic term sets is proposed. Then, a novel extended MAGDM algorithm based on prospect theory (PT) is proposed. Two case studies of decision making (DM) on purchasing a car is provided to illustrate the application of the extended MAGDM algorithm. The case analyses are proposed to illustrate the novelty, feasibility, and application of the proposed MAGDM algorithm by comparing the other three algorithms based on TOPSIS, VIKOR, and Pang Qi et al.’s method. The analyses results demonstrate that the proposed algorithm based on PT is superior.https://www.mdpi.com/2073-8994/11/2/127decision makingdistance measureprobabilistic linguistic term setprospect theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ju-Xiang Wang |
spellingShingle |
Ju-Xiang Wang A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information Symmetry decision making distance measure probabilistic linguistic term set prospect theory |
author_facet |
Ju-Xiang Wang |
author_sort |
Ju-Xiang Wang |
title |
A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information |
title_short |
A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information |
title_full |
A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information |
title_fullStr |
A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information |
title_full_unstemmed |
A MAGDM Algorithm with Multi-Granular Probabilistic Linguistic Information |
title_sort |
magdm algorithm with multi-granular probabilistic linguistic information |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-01-01 |
description |
The traditional multi-attribute group decision making (MAGDM) method needs to be improved to the integration of assessment information under multi-granular probabilistic linguistic environments. Some novel distance measures between two multi-granular probabilistic linguistic term sets (PLTSs) are proposed, and distance measures are proved to be reasonable. To calculate the weights of the alternative attributes, the extended cross-entropy method for multi-granular probabilistic linguistic term sets is proposed. Then, a novel extended MAGDM algorithm based on prospect theory (PT) is proposed. Two case studies of decision making (DM) on purchasing a car is provided to illustrate the application of the extended MAGDM algorithm. The case analyses are proposed to illustrate the novelty, feasibility, and application of the proposed MAGDM algorithm by comparing the other three algorithms based on TOPSIS, VIKOR, and Pang Qi et al.’s method. The analyses results demonstrate that the proposed algorithm based on PT is superior. |
topic |
decision making distance measure probabilistic linguistic term set prospect theory |
url |
https://www.mdpi.com/2073-8994/11/2/127 |
work_keys_str_mv |
AT juxiangwang amagdmalgorithmwithmultigranularprobabilisticlinguisticinformation AT juxiangwang magdmalgorithmwithmultigranularprobabilisticlinguisticinformation |
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1725781729313030144 |