| 基于准则间关系的多准则语言决策方法 |
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| 引用本文： | 焦志敏,张慧,李伯权,张化朋.基于准则间关系的多准则语言决策方法[J].数学的实践与认识,2017(7):124-133. |
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| 作者姓名： | 焦志敏 张慧 李伯权 张化朋 |
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| 作者单位： | 1. 安徽师范大学 数学计算机科学学院,安徽 芜湖,241000;2. 南京邮电大学理学院,江苏 南京,210046 |
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| 基金项目： | 国家自然科学基金项目(11201281)，安徽省高校自然科学研究重点项目(KJ2016A269) |
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| 摘 要： | 在多准则语言决策问题中,准则间的关系一般有三种:相互独立、相互影响、优先关系.基于这三种关系,结合比例二元组语义信息提出了一种新的多准则语言决策方法.介绍了比例二元组优先加权平均(P2TPWA)算子,并讨论了有关P2TPWA算子的相关性质.另外,将Choquet积分拓展到了比例二元组语言环境,并将P2TPWA算子和比例二元组语言Choquet积分用于实际的决策问题中.
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| 关 键 词： | 比例二元组 Choquet积分 优先权 模糊测度 |
A Multi-criteria Linguistic Decision Making Method Based on the Relationships Between the Criteria |
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| JIAO Zhi-min,ZHANG Hui,LI Bo-quan,ZHANG Hua-peng.A Multi-criteria Linguistic Decision Making Method Based on the Relationships Between the Criteria[J].Mathematics in Practice and Theory,2017(7):124-133. |
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| Authors: | JIAO Zhi-min ZHANG Hui LI Bo-quan ZHANG Hua-peng |
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| Abstract: | There exists three types of relationship between the criteria in multi-criteria linguistic decision making(MCLDM) problem-mutual independence,mutual effect,precedence relationship.Based on them,this paper provides a new multi-criteria linguistic decision making(MCLDM) method which combined with proportional 2-tuple linguistic information.This paper proposes a proportional 2-tuple prioritized weighted average(P2TPWA) operator and study some properties about the P2TPWA operator.Furthermore,this paper expand the Choquet integral to proportional 2-tuple linguistic environment.Finally,this paper applied the P2TPWA operator and proportional 2-tuple linguistic Choquet integral into the decisionmaking problems. |
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| Keywords: | proportional 2-tuple choquet integral prioritized fuzzy measure |
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