Generalization of the linguistic aggregation operator and its application in decision making

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摘要 Ageneralizationofthelinguisticaggregationfunctions(oroperators)ispresentedbyusinggeneralizedandquasiarithmeticmeans.Firstly,thelinguisticweightedgeneralizedmean(LWGM)andthelinguisticgeneralizedorderedweightedaveraging(LGOWA)operatorareintroduced.Theseaggregationfunctionsuselinguisticinformationandgeneralizedmeansintheweightedaverage(WA)andintheorderedweightedaveraging(OWA)function.Theyareveryusefulforuncertainsituationswheretheavailableinformationcannotbeassessedwithnumericalvaluesbutitispossibletouselinguisticassessments.Theseaggregationoperatorsgeneralizeawiderangeofaggregationoperatorsthatuselinguisticinformationsuchasthelinguisticgeneralizedmean(LGM),thelinguisticOWA(LOWA)operatorandthelinguisticorderedweightedquadraticaveraging(LOWQA)operator.Wealsointroduceafurthergeneralizationbyusingquasi-arithmeticmeansinsteadofgeneralizedmeansobtainingthequasi-LWAandthequasi-LOWAoperator.Finally,wedevelopanapplicationofthenewapproachwhereweanalyzeadecisionmakingproblemregardingtheselectionofstrategies.
机构地区 不详
出版日期 2011年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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