GM(1,1)Model Based on Intuitionistic Fuzzy Numbers and Its Application to Grey Development Decision Making

doi:10.12005/orms.2017.0264

Operations Research and Management Science ›› 2017, Vol. 26 ›› Issue (11): 87-92.DOI: 10.12005/orms.2017.0264

• Theory Analysis and Methodology Study • Previous Articles Next Articles

GM(1,1)Model Based on Intuitionistic Fuzzy Numbers and Its Application to Grey Development Decision Making

LI Peng¹, ZHU Jian-jun²

1.College of Economics & Management, Jiangsu University of Science and Technology, Zhenjiang 212003, China;
2.College of Economics & Management, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China;

Received:2013-04-09 Online:2017-11-25

直觉模糊GM(1,1)模型及其在灰色发展决策的应用

李鹏¹, 朱建军²

1.江苏科技大学经济管理学院,江苏镇江 212003;
2.南京航空航天大学经济与管理学院,江苏南京 211106;

作者简介:李鹏(1980-)男,山东淄博人,博士,研究方向:决策分析,灰色系统理论。
基金资助:
国家自然科学基金(71401064,71171112) ;教育部人文社科基金(14YJCZH076);教育部博士点基金(20133220120002);中国博士后基金(2014M560423);江苏省博士后基金(1401018C)

Abstract

Abstract: This paper researches on grey prediction model based on the sequences of intuitionistic fuzzy numbers and proposes grey development decision making by utilizing this model. The GM(1,1)model(grey model of 1 order equation and 1 variable) of the sequences of intuitionistic fuzzy numbers is constructed by utilizing the score function and hesitant degree of intuitionistic fuzzy numbers according to the idea of core and grey degree.Then the membership function and the non-membership function of intuitionistic fuzzy numbers are obtained by the prediction model. Prediction of intuitionistic fuzzy numbers can be realized by the method.Then, a grey development decision making method based on intuitionistic fuzzy numbers and variable weight is proposed Finally. An example shows the feasibility and validity of this method.

Key words: intuitionistic fuzzy numbers, GM(1,1)model, grey development decision making, variable weight

摘要： 研究了以直觉模糊数为对象的GM(1,1)模型并运用到灰色发展决策方法。利用灰色系统理论中核和灰度的内涵,将直觉模糊数的犹豫度和记分函数结合构建了直觉模糊数序列 GM(1,1)预测模型,从而实现了直觉模糊数的预测。在此基础上结合变权原理提出了基于直觉模糊数的灰色发展决策方法。最后,算例分析说明了该方法的合理性和可行性。

关键词: 直觉模糊数, GM(1, 1)模型, 灰色发展决策, 变权

CLC Number:

F224.32

LI Peng, ZHU Jian-jun. GM(1,1)Model Based on Intuitionistic Fuzzy Numbers and Its Application to Grey Development Decision Making[J]. Operations Research and Management Science, 2017, 26(11): 87-92.

李鹏, 朱建军. 直觉模糊GM(1,1)模型及其在灰色发展决策的应用[J]. 运筹与管理, 2017, 26(11): 87-92.

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GM(1,1)Model Based on Intuitionistic Fuzzy Numbers and Its Application to Grey Development Decision Making

直觉模糊GM(1,1)模型及其在灰色发展决策的应用

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