陈玉金,李续武.直觉模糊数决策粗糙集[J].计算机科学,2018,45(2):254-260
直觉模糊数决策粗糙集
Intuitionistic Fuzzy Numbers Decision-theoretic Rough Sets
投稿时间:2016-12-19  修订日期:2017-04-05
DOI:10.11896/j.issn.1002-137X.2018.02.044
中文关键词:  决策粗糙集,代价函数,直觉模糊数,下理想,上理想
英文关键词:Decision-theoretic rough sets,Loss function,Intuitionistic fuzzy numbers,Down-ideal,Up-ideal
基金项目:本文受国家自然科学基金(61503407)资助
作者单位E-mail
陈玉金 空军工程大学防空反导学院 西安710051 ivan@mail.dlut.edu.cn 
李续武 空军工程大学防空反导学院 西安710051 fbb19940103@163.com 
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中文摘要:
      决策粗糙集模型的代价函数不包含模糊概念,不能够细腻地描述包含模糊信息的决策。针对上述不足,首先将模型中精确值的代价函数拓展为直觉模糊数,构建直觉模糊数决策粗糙集模型。然后,通过分析基于直觉模糊数下、上理想的决策预期代价函数,形成保守、激进、可变的决策策略和相应的决策规则,并分析其相关数学性质。最后,通过对战略目标防空部署策略的风险分析来说明模型的具体应用过程。
英文摘要:
      The cost function of decision-theoretic rough set does not include fuzzy concept,which can not describe the decision of the fuzzy information discreetly.For the above shortage,firstly,the concept of precise value of loss function was generalized to intuitionistic fuzzy numbers and the intuitionistic fuzzy numbers decision-theoretic rough set was established.Then,the expected loss with intuitionistic fuzzy numbers based on down-ideal and up-ideal was analyzed.The strategies based on conservatism,activism and variable semantics were described and decision rules were derived.The corresponding propositions of the intuitionistic fuzzy numbers decision-theoretic rough sets were analyzed.Finally,an example of disposition schemes for strategic target air-defense operation was given to illuminate the proposed model in applications.
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