A new linguistic aggregation operator and its application to multiple attribute decision making

In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which sati...

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Main Authors:	Jibin Lan, Yuwen Chen, Mengyao Ning, Zhongxing Wang
Format:	Article
Language:	English
Published:	Elsevier 2015-12-01
Series:	Operations Research Perspectives
Subjects:	Linguistic aggregation operator Linguistic environment Ordering relation Strict pareto-dominance Multiple attribute decision making
Online Access:	http://www.sciencedirect.com/science/article/pii/S2214716015300099

id	doaj-302546a196714079b1252d5b7f47102f
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spelling	doaj-302546a196714079b1252d5b7f47102f2020-11-25T01:11:32ZengElsevierOperations Research Perspectives2214-71602015-12-012C15616410.1016/j.orp.2015.09.001A new linguistic aggregation operator and its application to multiple attribute decision makingJibin LanYuwen ChenMengyao NingZhongxing WangIn this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which satisfies strict pareto-dominance and is restricted by a weighting vector. A practical multiple attribute decision making methodology for an uncertain linguistic environment is proposed based on the proposed operator. An example is given to illustrate the rationality and validity of the new approach to decision making application.http://www.sciencedirect.com/science/article/pii/S2214716015300099Linguistic aggregation operatorLinguistic environmentOrdering relationStrict pareto-dominanceMultiple attribute decision making
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jibin Lan Yuwen Chen Mengyao Ning Zhongxing Wang
spellingShingle	Jibin Lan Yuwen Chen Mengyao Ning Zhongxing Wang A new linguistic aggregation operator and its application to multiple attribute decision making Operations Research Perspectives Linguistic aggregation operator Linguistic environment Ordering relation Strict pareto-dominance Multiple attribute decision making
author_facet	Jibin Lan Yuwen Chen Mengyao Ning Zhongxing Wang
author_sort	Jibin Lan
title	A new linguistic aggregation operator and its application to multiple attribute decision making
title_short	A new linguistic aggregation operator and its application to multiple attribute decision making
title_full	A new linguistic aggregation operator and its application to multiple attribute decision making
title_fullStr	A new linguistic aggregation operator and its application to multiple attribute decision making
title_full_unstemmed	A new linguistic aggregation operator and its application to multiple attribute decision making
title_sort	new linguistic aggregation operator and its application to multiple attribute decision making
publisher	Elsevier
series	Operations Research Perspectives
issn	2214-7160
publishDate	2015-12-01
description	In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which satisfies strict pareto-dominance and is restricted by a weighting vector. A practical multiple attribute decision making methodology for an uncertain linguistic environment is proposed based on the proposed operator. An example is given to illustrate the rationality and validity of the new approach to decision making application.
topic	Linguistic aggregation operator Linguistic environment Ordering relation Strict pareto-dominance Multiple attribute decision making
url	http://www.sciencedirect.com/science/article/pii/S2214716015300099
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A new linguistic aggregation operator and its application to multiple attribute decision making

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