| 基于投影模型的区间直觉模糊多属性决策方法研究 |
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| 引用本文： | 曾守桢,骆丹丹.基于投影模型的区间直觉模糊多属性决策方法研究[J].运筹与管理,2020,29(3):10-15. |
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| 作者姓名： | 曾守桢 骆丹丹 |
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| 作者单位： | 1. 宁波大学 商学院,浙江 宁波 315211;2. 复旦大学 管理学院,上海 200433 |
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| 基金项目： | 浙江省高校重大人文社科攻关计划项目(2018QN058);中国博后基金项目(2019M651403);宁波市自然科学基金(2019A610037);宁波大学研究生科研创新基金资助项目(G19039);宁波市哲学社会科学学科带头人培育项目。 |
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| 摘 要： | 本文首先定义了一种新区间直觉模糊投影方法,其能更好地度量投影向量之间的相关性。其次,根据区间直觉模糊正负理想方案与备选方案的投影关系, 构建了基于投影方法的未知属性权重求解模型,并在此基础上设计了一种基于投影值的贴近度方法,能实现对备选方案有效排序;最后,用实例验证了该方法的有效性和可行性。
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| 关 键 词： | 区间直觉模糊集 投影 多属性决策 TOPSIS |
| 收稿时间： | 2017-10-07 |
A Projection Method for Interval-valued Intuitionistic Fuzzy Multiple Attribute Decision Making |
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| ZENG Shou-zhen,LUO Dan-dan.A Projection Method for Interval-valued Intuitionistic Fuzzy Multiple Attribute Decision Making[J].Operations Research and Management Science,2020,29(3):10-15. |
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| Authors: | ZENG Shou-zhen LUO Dan-dan |
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| Affiliation: | 1. School of Business, Ningbo University, Ningbo 315211, China;2. School of Management, Fudan Universtiy, Shanghai 200433, China |
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| Abstract: | In this paper,we first develop a new projection of interval valued intuitiooistic fuzzy(IYIF)sets,which is more accurate to measure the relative degree of vectors than the existing projection method.Then we apply this method to solve the IYIF multiple attribute decision making problem,in which the attribute weight information is incomplete.The projections of positive ideal solution(PIS)and negative ideal solution(NIS)are adopted to calcuate the alternatives’ weights.Thereby,the unknown weights of attributes are dtermined objectively.Subsequently,an improved overall relative closeness degree is constructed to rank the ordering of alternatives.Finally,a numerical example is provided to show the validity and applicability of the presented method. |
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| Keywords: | multiple attribute decision making interval-valued intuitionistic fuzzy set projection method TOPSIS |
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