| 直觉模糊集所诱导的软集语义及其三支决策 |
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| 引用本文： | 巩增泰,他广朋.直觉模糊集所诱导的软集语义及其三支决策[J].山东大学学报(理学版),2022,57(8):68-76. |
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| 作者姓名： | 巩增泰 他广朋 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(12061067) |
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| 摘 要： | 借助于阴影集,利用直觉模糊参数,将直觉模糊集转化为悲观阴影集和乐观阴影集,提出直觉模糊集悲观三支决策和乐观三支决策,给出直觉模糊集诱导软集的方法。利用三支决策理论,提出软集三支决策定性模型。结合直觉模糊集悲观三支决策和乐观三支决策,利用直觉模糊参数,给出软集三支决策定量模型。
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| 关 键 词： | 三支决策 软集 直觉模糊集 阴影集 |
Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision |
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| GONG Zeng-tai,TA Guang-peng.Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision[J].Journal of Shandong University,2022,57(8):68-76. |
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| Authors: | GONG Zeng-tai TA Guang-peng |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | In this paper, by means of the shadowed set, this paper transforms intuitionistic fuzzy set into pessimistic shadowed set and optimistic shadowed set by using intuitionistic fuzzy parameters, and proposes pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set. The method of inducting soft set by intuitionistic fuzzy set is given, and the qualitative model of three-way decision with soft set is proposed by using three-way decision theory. Combined with pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set, a quantitative model of three-way decision with soft sets is given by using intuitionistic fuzzy parameters. |
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| Keywords: | three-way decision soft set intuitionistic fuzzy set shadowed set |
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