Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making

Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making

We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (...

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Main Authors: Wei Li, Shouzhen Zeng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/563650
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spelling doaj-eaa134d6b50341e6a5402965fe0325022020-11-24T23:02:44ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/563650563650Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision MakingWei Li0Shouzhen Zeng1College of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310018, ChinaCollege of Computer and Information, Zhejiang Wanli University, Ningbo 315100, ChinaWe introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information.http://dx.doi.org/10.1155/2013/563650
collection DOAJ
language English
format Article
sources DOAJ
author Wei Li
Shouzhen Zeng
spellingShingle Wei Li
Shouzhen Zeng
Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
Journal of Applied Mathematics
author_facet Wei Li
Shouzhen Zeng
author_sort Wei Li
title Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
title_short Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
title_full Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
title_fullStr Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
title_full_unstemmed Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making
title_sort uncertain linguistic aggregation distance measures and their application to group decision making
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information.
url http://dx.doi.org/10.1155/2013/563650
work_keys_str_mv AT weili uncertainlinguisticaggregationdistancemeasuresandtheirapplicationtogroupdecisionmaking
AT shouzhenzeng uncertainlinguisticaggregationdistancemeasuresandtheirapplicationtogroupdecisionmaking
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