Measures of separation for interval-valued intuitionistic fuzzy sets and their applications

The interval-valued intuitionistic fuzzy set (IVIFS), which is an extension of the intuitionistic fuzzy set (IFS), characterizes the membership and non-membership degree with the number of intervals. This paper begins with an introduce to order relation, which is embedding. Based on the embedding, w...

Full description

Saved in:
Bibliographic Details
Published inAIMS electronics and electrical engineering Vol. 9; no. 2; pp. 139 - 164
Main Authors Gong, Yaoyao, Gong, Zengtai
Format Journal Article
LanguageEnglish
Published AIMS Press 01.03.2025
Subjects
coimplication function
embedding
interval width
interval-valued intuitionistic fuzzy set
separation measure
Online AccessGet full text
ISSN2578-1588
2578-1588
DOI10.3934/electreng.2025008

Cover

More Information
Summary:The interval-valued intuitionistic fuzzy set (IVIFS), which is an extension of the intuitionistic fuzzy set (IFS), characterizes the membership and non-membership degree with the number of intervals. This paper begins with an introduce to order relation, which is embedding. Based on the embedding, we have proposed a separation measure for intervals, and used the coimplication function and interval width to construct it. Then, considering epistemic interpretation of IVIFSs, we generalized the measure of the interval values to IVIFS, and obtained the IVI-separation measure, which can compare the accuracy of two elements on IVIFSs. At the same time, a special construction method was provided based on aggregate functions. Finally, we studied the separation measure of intersection, union, and complement operations on IVIFSs.
ISSN:2578-1588
2578-1588
DOI:10.3934/electreng.2025008