The Unbalanced Linguistic Aggregation Operator in Group Decision Making

Many linguistic aggregation methods have been proposed and applied in the linguistic decision-making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluat...

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Main Authors:	Li Zou, Zheng Pei, Hamid Reza Karimi, Peng Shi
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2012/619162

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spelling	doaj-1c02119b4448470d821a2ab3ed3f06aa2020-11-24T23:56:50ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/619162619162The Unbalanced Linguistic Aggregation Operator in Group Decision MakingLi Zou0Zheng Pei1Hamid Reza Karimi2Peng Shi3School of Computer and Information Technology, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematic and Computer Engineering, Xihua University, Sichuan, Chengdu 610039, ChinaDepartment of Engineering Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayDepartment of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, UKMany linguistic aggregation methods have been proposed and applied in the linguistic decision-making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluation for problems. In this paper, we propose a new linguistic aggregation operator to deal with unbalanced linguistic values in group decision making, we adopt 2-tuple representation model of linguistic values and linguistic hierarchies to express unbalanced linguistic values, and moreover, we present the unbalanced linguistic ordered weighted geometric operator to aggregate unbalanced linguistic evaluation values; a comparison example is given to show the advantage of our method.http://dx.doi.org/10.1155/2012/619162
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Li Zou Zheng Pei Hamid Reza Karimi Peng Shi
spellingShingle	Li Zou Zheng Pei Hamid Reza Karimi Peng Shi The Unbalanced Linguistic Aggregation Operator in Group Decision Making Mathematical Problems in Engineering
author_facet	Li Zou Zheng Pei Hamid Reza Karimi Peng Shi
author_sort	Li Zou
title	The Unbalanced Linguistic Aggregation Operator in Group Decision Making
title_short	The Unbalanced Linguistic Aggregation Operator in Group Decision Making
title_full	The Unbalanced Linguistic Aggregation Operator in Group Decision Making
title_fullStr	The Unbalanced Linguistic Aggregation Operator in Group Decision Making
title_full_unstemmed	The Unbalanced Linguistic Aggregation Operator in Group Decision Making
title_sort	unbalanced linguistic aggregation operator in group decision making
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2012-01-01
description	Many linguistic aggregation methods have been proposed and applied in the linguistic decision-making problems. In practice, experts need to assess a number of values in a side of reference domain higher than in the other one; that is, experts use unbalanced linguistic values to express their evaluation for problems. In this paper, we propose a new linguistic aggregation operator to deal with unbalanced linguistic values in group decision making, we adopt 2-tuple representation model of linguistic values and linguistic hierarchies to express unbalanced linguistic values, and moreover, we present the unbalanced linguistic ordered weighted geometric operator to aggregate unbalanced linguistic evaluation values; a comparison example is given to show the advantage of our method.
url	http://dx.doi.org/10.1155/2012/619162
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The Unbalanced Linguistic Aggregation Operator in Group Decision Making

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