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基于软直觉multiplicative集的决策方法
引用本文:杨勇,宋娟萍. 基于软直觉multiplicative集的决策方法[J]. 计算机工程与科学, 2016, 38(9): 1930-1936
作者姓名:杨勇  宋娟萍
作者单位:;1.西北师范大学计算机科学与工程学院
基金项目:国家自然科学基金(61163036)
摘    要:针对软直觉模糊集在决策中出现的部分反直觉的现象,结合直觉multiplicative集,首先提出了一种新的软集模型——软直觉multiplicative集,推广了软集和直觉multiplicative集;然后,研究了软直觉multiplicative集的基本运算和性质,同时,给出了基于软直觉multiplicative集理论的决策算法;最后,给出软直觉multiplicative集在决策中的一个应用实例,通过实例说明了该方法的正确性和有效性。

关 键 词:软集  直觉multiplicative集  软直觉multiplicative集  整合算子  决策
收稿时间:2015-05-19
修稿时间:2016-09-25

A decision making method based on soft intuitionistic multiplicative set
YANG Yong,SONG Juan-ping. A decision making method based on soft intuitionistic multiplicative set[J]. Computer Engineering & Science, 2016, 38(9): 1930-1936
Authors:YANG Yong  SONG Juan-ping
Affiliation:(School of Computer Science and Engineering,Northwest Normal University,Lanzhou 730070,China)
Abstract:Aiming at the problem that soft intuitionistic fuzzy sets are partly inconsistent with our intuition in decision making, we firstly combine soft sets with intuitionistic multiplicative sets, and define the new soft set model, named soft intuitionistic multiplicative sets. Soft sets and intuitionistic multiplicative sets are generalized. Then basic operations and properties of soft intuitionistic multiplicative sets are discussed. Meanwhile, we propose an algorithm based on the theory of soft intuitionistic multiplicative sets. An application of soft intuitionistic multiplicative sets in decision making is given. Finally, the correctness and effectiveness of the method are proved by examples.
Keywords:soft set  intuitionistic multiplicative set  soft intuitionistic multiplicative set  aggregation operator  decision making  
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