On inclusion measures of intuitionistic and interval-valued intuitionistic fuzzy values and their applications to group decision making

被引：16
作者：
Zhang, Hong-Ying [1 ]
Yang, Shu-Yun [1 ]
Yue, Zhi-Wei [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2016年 / 7卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Intuitionistic fuzzy value; Interval-valued intuitionistic fuzzy value; HM inclusion measure; Group decision making; SIMILARITY; DISTANCE;
D O I：
10.1007/s13042-015-0410-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Ranking intuitionistic fuzzy values (IFVs) and interval-valued intuitionistic fuzzy values (IVIFVs) is an important and necessary work in intuitionistic fuzzy group decision making. Since the set of all IFVs is a poset and inclusion measure indicates the degree to which a given element of a poset is contained in another one. This paper studies hybrid monotonic (HM) inclusion measures of IFVs and IVIFVs respectively and discuss their applications to group decision making. Firstly, HM inclusion measure is defined on the posets of all IFVs and IVIFVs respectively. Then HM inclusion measures are studied by constructive approach. Furthermore, the HM inclusion measures are employed to make intuitionistic and interval-valued intuitionistic fuzzy group decisions. Lastly, practical examples are provided to illustrate the developed approaches respectively.
引用
收藏
页码：833 / 843
页数：11
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