| 引用本文: | 赵涛,肖建.二型直觉模糊集[J].控制理论与应用,2012,29(9):1215~1222.[点击复制] |
| ZHAO Tao,XIAO Jian.Type-2 intuitionistic fuzzy sets[J].Control Theory and Technology,2012,29(9):1215~1222.[点击复制] |
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| 二型直觉模糊集 |
| Type-2 intuitionistic fuzzy sets |
| 摘要点击 3584 全文点击 1666 投稿时间：2011-09-18 修订日期：2012-03-15 |
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| DOI编号 |
| 2012,29(9):1215-1222 |
| 中文关键词 二型直觉模糊集 二型模糊集 直觉模糊集 区间值直觉模糊集 模糊数直觉模糊集 |
| 英文关键词 type-2 intuitionistic fuzzy sets type-2 fuzzy sets intuitionistic fuzzy sets interval-valued intuitionistic fuzzy sets fuzzy number intuitionistic fuzzy sets |
| 基金项目 国家自然科学基金资助项目(51177137, 61134001). |
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| 中文摘要 |
| 二型模糊集和直觉模糊集都具有很强的实际应用背景. 二型模糊集增强了系统处理不确定性的能力, 直觉模糊集为解决人们判断问题所出现的犹豫信息提供了理论依据. 本文在二型模糊集和直觉模糊集的基础上, 给出了二型直觉模糊集的概念, 证明了二型直觉模糊集是一型模糊集、直觉模糊集、区间值模糊集、区间值直觉模糊集的广义形式, 讨论了二型直觉模糊集的基本运算和二型直觉模糊关系. 最后, 研究了基于二型直觉模糊理论的近似推理, 并实例说明了二型直觉模糊集的实际应用背景. |
| 英文摘要 |
| Type-2 fuzzy sets and intuitionistic fuzzy sets have a wide range of practical applications. Type-2 fuzzy sets enhance the ability of the system for dealing with uncertainties. Intuitionistic fuzzy sets provide a theoretical basis to manage the hesitation information appearing to people in judging questions. In this paper, we introduce the concept of type-2 intuitionistic fuzzy sets under type-2 fuzzy sets and intuitionistic fuzzy sets. Furthermore, we prove that type-2 intuitionistic fuzzy sets are the generalized forms of type-1 fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets and interval-valued intuitionistic fuzzy sets. The basic operations of type-2 intuitionistic fuzzy sets and type-2 intuitionistic fuzzy relations are discussed. Finally, the approximation reasoning based on the type-2 intuitionistic fuzzy theory is studied. A practical example illustrates the practical application background of type-2 intuitionistic fuzzy sets. |
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