An Approach based on TOPSIS for Interval Type-2 Fuzzy Multiple Attributes Decision-making

An Approach based on TOPSIS for Interval Type-2 Fuzzy Multiple Attributes Decision-making
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基于TOPSIS的区间二类模糊多属性决策方法

DOI:
10.14257/ijca.2015.8.11.09
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发表时间:
2015-11
期刊:
International Journal of Control and Automation
影响因子:
--
通讯作者:
Ding-Hong Peng
Ding-Hong Peng
中科院分区:
其他
文献类型:
--
作者:
Caixia Yang;Wei Chen;Ding-Hong Peng

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2型模糊集(T2FS)为我们提供了额外的自由度来表示真实的世界的不确定性和未来性。区间二型模糊集(IT 2FS)作为一类特殊的T2 FS,其运算比一般T2 FS简单得多。因此,IT2FS的研究成为近年来决策领域的一个热点。本文首先介绍了IT2FS的运算规律,提出了IT2FS的距离测度。其次,基于逼近理想解排序法(TOPSIS)的思想,提出了一种新的IT2FS多属性决策方法。该方法不仅考虑了重要性权重,而且反映了决策者的决策策略,这对不同的决策者选择不同的决策策略是必不可少的,因此具有更强的实用性和灵活性。最后,通过一个服务质量评估的算例验证了该方法的有效性。
The type-2 fuzzy sets (T2FSs) provide us additional degrees of freedom to represent the uncertainty and the fuzziness of the real world. As a special kind of T2FSs, interval type-2 fuzzy sets (IT2FSs), whose operations are much simpler than the ones of general T2FSs. So the research of IT2FSs has become a hot topic in decision-making field in recent years. In this paper, firstly, we introduce the operational laws of IT2FSs, and propose a distance measure of IT2FSs. Secondly, we present a novel approach for handling multiple attributes decision-making problems with IT2FSs, on base of the idea of Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). The method proposed is more practical and flexible because it not only consider the importance weights, but also reflect the decision strategies that both are essential to different decision makers for choosing different decision tactics. Finally, a numerical example of service quality assessment is used to verify the effectiveness of the presented approach.
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