度量(数据仓库)
托普西斯
距离测量
排名(信息检索)
理想溶液
群体决策
相似性(几何)
偏爱
相似性度量
数学
人工智能
群(周期表)
模糊逻辑
计算机科学
数据挖掘
统计
运筹学
图像(数学)
物理
有机化学
化学
热力学
法学
政治学
作者
Kamal Kumar,Shyi‐Ming Chen
标识
DOI:10.1016/j.ins.2022.07.184
摘要
Linguistic intuitionistic fuzzy numbers (LIFNs) are useful to express the uncertainty of qualitative aspects of information, which have received many attentions in recent years. In this paper, we propose the distance measure of linguistic intuitionistic fuzzy sets (LIFSs), where the membership grade and the non-membership grade of each element in the universe of discourse belonging to a LIFS are represented by LIFNs. We also provide the proofs of the validity and some desirable properties of the proposed distance measure of LIFSs. Moreover, we also propose the weighted distance measure of LIFSs. Based on the proposed weighted distance measure of LIFSs and the “Technique for Order Preference by Similarity to Ideal Solution” (TOPSIS) method, we propose a new group decision making (GDM) approach in the environments of LIFNs. We also use some examples to illustrate the practicability and the feasibility of the proposed GDM approach. The proposed GDM approach can overcome the drawbacks of the existing GDM approaches, where they have the drawbacks that they cannot distinguish the ranking orders of the alternatives in some situations. It provides us a very useful method for dealing with GDM problems in the environments of LIFNs.
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