| 广义多值直觉模糊软集及其在多属性决策中的应用 |
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| 引用本文： | 江立辉,陈华友,黄艳.广义多值直觉模糊软集及其在多属性决策中的应用[J].运筹与管理,2018,27(10):49-55. |
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| 作者姓名： | 江立辉 陈华友 黄艳 |
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| 作者单位： | 1.合肥学院数学与物理系,安徽 合肥 230601; 2.安徽大学数学科学学院,安徽 合肥 230039 |
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| 基金项目： | 国家自然科学基金(71371011, 71301001);安徽高校优秀青年骨干人才国内外访学研修项目(gxfx2017094);安徽省高校人文社科重点项目(SK2018A0605);合肥学院自科基金(17ZR06ZDA);合肥学院硕士点培育项目(2018xs03) |
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| 摘 要： | 软集理论作为一种处理不确定问题的数学新工具弥补了传统模糊理论在参数工具上的不足。本文将广义模糊软集与多值直觉模糊集相结合,提出了广义多值直觉模糊软集的概念,给出了广义多值直觉模糊软集的交、并、补、“且”、“或”运算的概念,并基于这些概念研究其若干相关性质。此外,还将广义多值直觉模糊软集应用到多属性决策问题中去,给出相应的算法。并进行实例分析说明该决策方法的可行性和有效性。
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| 关 键 词： | 软集 广义模糊软集 多值直觉模糊软集 广义多值直觉模糊软集 多属性决策 |
| 收稿时间： | 2017-08-04 |
Generalized Multi-intuitionistic Fuzzy Soft Setand Its Application in Multi-attribute Decision Making |
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| JIANG Li-hui,CHEN Hua-you,HUANG Yan.Generalized Multi-intuitionistic Fuzzy Soft Setand Its Application in Multi-attribute Decision Making[J].Operations Research and Management Science,2018,27(10):49-55. |
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| Authors: | JIANG Li-hui CHEN Hua-you HUANG Yan |
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| Affiliation: | 1.Department of Mathematics and Physics, Hefei University, Hefei 230601, China; 2.School of Mathematical Science, Anhui University, Hefei 230039, China |
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| Abstract: | As a new mathematical tool to deal with uncertainty problems, soft set theory makes up for the inadequacy of the parametrization tools of traditional uncertainty theories. In this paper, generalized multi-intuitionistic fuzzy soft set is proposed by combining the generalized fuzzy soft set and multi-intuitionistic fuzzy set. The operations of complement, union, intersection, “and”, “or” are defined on the generalized multi-intuitionistic fuzzy soft sets. The basic properties of generalized multi-intuitionistic fuzzy soft sets are also investigated. In addition, the generalized multi-intuitionistic fuzzy soft set is applied to the multi-attribute decision problems, and the corresponding algorithm is given. The feasibility and validity of this method are illustrated. |
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| Keywords: | soft sets generalized fuzzy soft sets multi-intuitionistic fuzzy soft sets generalized multi-intuitionistic fuzzy soft sets multi-attribute decision making |
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