Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations

The meta-synthesis method has achieved good results in China’s aerospace engineering and population economic regulation. This theoretical achievement obtained from engineering practice becomes an effective way to solve complex decision-making problems. The meta-synthesis method obtains the final dec...

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Main Authors: Lei Wang, Huifeng Xue
Format: Article
Language:English
Published: MDPI AG 2020-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/9/1009
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spelling doaj-3dd33061d9514a80aaa335572fa9e86c2020-11-25T03:10:55ZengMDPI AGEntropy1099-43002020-09-01221009100910.3390/e22091009Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority RelationsLei Wang0Huifeng Xue1China Academy of Aerospace Systems Science and Engineering, Beijing 100035, ChinaChina Academy of Aerospace Systems Science and Engineering, Beijing 100035, ChinaThe meta-synthesis method has achieved good results in China’s aerospace engineering and population economic regulation. This theoretical achievement obtained from engineering practice becomes an effective way to solve complex decision-making problems. The meta-synthesis method obtains the final decision-making result by comprehensively considering qualitative and quantitative criteria and gathering multivariate heterogeneous attribute information. In view of the broad application of entropy theory in quantitative evaluation and fuzzy decision-making, this paper proposes a meta-synthesis decision-making method based on probabilistic linguistic cross-entropy and priority relations for multicriteria decision-making problems including qualitative and quantitative multivariate heterogeneous attribute information. First, the quantitative attribute weight is calculated based on the entropy weight method, and the qualitative attribute weight is calculated by considering the individual effects and interactions of the probabilistic linguistic term sets under qualitative attributes comprehensively through probabilistic linguistic entropy and cross-entropy. Then, the weight preference coefficient is used to integrate the qualitative and quantitative heterogeneous attribute weights to obtain standardized processing weight information, and, on the basis of the 0–1 priority relation matrix, we compare and analyze the advantages and disadvantages of alternatives under all criteria and obtain an overall ranking result of the alternatives. Finally, the effectiveness and superiority of the proposed method are verified by a comparative analysis of a numerical example and the decision-making method.https://www.mdpi.com/1099-4300/22/9/1009meta-synthesisheterogeneous attribute informationentropycross-entropyprobabilistic linguistic term setpriority relation
collection DOAJ
language English
format Article
sources DOAJ
author Lei Wang
Huifeng Xue
spellingShingle Lei Wang
Huifeng Xue
Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
Entropy
meta-synthesis
heterogeneous attribute information
entropy
cross-entropy
probabilistic linguistic term set
priority relation
author_facet Lei Wang
Huifeng Xue
author_sort Lei Wang
title Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
title_short Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
title_full Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
title_fullStr Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
title_full_unstemmed Integrated Decision-Making Method for Heterogeneous Attributes Based on Probabilistic Linguistic Cross-Entropy and Priority Relations
title_sort integrated decision-making method for heterogeneous attributes based on probabilistic linguistic cross-entropy and priority relations
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-09-01
description The meta-synthesis method has achieved good results in China’s aerospace engineering and population economic regulation. This theoretical achievement obtained from engineering practice becomes an effective way to solve complex decision-making problems. The meta-synthesis method obtains the final decision-making result by comprehensively considering qualitative and quantitative criteria and gathering multivariate heterogeneous attribute information. In view of the broad application of entropy theory in quantitative evaluation and fuzzy decision-making, this paper proposes a meta-synthesis decision-making method based on probabilistic linguistic cross-entropy and priority relations for multicriteria decision-making problems including qualitative and quantitative multivariate heterogeneous attribute information. First, the quantitative attribute weight is calculated based on the entropy weight method, and the qualitative attribute weight is calculated by considering the individual effects and interactions of the probabilistic linguistic term sets under qualitative attributes comprehensively through probabilistic linguistic entropy and cross-entropy. Then, the weight preference coefficient is used to integrate the qualitative and quantitative heterogeneous attribute weights to obtain standardized processing weight information, and, on the basis of the 0–1 priority relation matrix, we compare and analyze the advantages and disadvantages of alternatives under all criteria and obtain an overall ranking result of the alternatives. Finally, the effectiveness and superiority of the proposed method are verified by a comparative analysis of a numerical example and the decision-making method.
topic meta-synthesis
heterogeneous attribute information
entropy
cross-entropy
probabilistic linguistic term set
priority relation
url https://www.mdpi.com/1099-4300/22/9/1009
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AT huifengxue integrateddecisionmakingmethodforheterogeneousattributesbasedonprobabilisticlinguisticcrossentropyandpriorityrelations
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