Paper Info
Title
Principal component analysis based on intuitionistic fuzzy random variables
Abstract
This paper suggests a principal component analysis for intuitionistic fuzzy data. For this purpose, first a notion of intuitionistic fuzzy random variable was introduced and discussed. The concept of correlation and its natural estimator between two intuitionistic fuzzy random variables was also developed and the main properties of the proposed correlation criteria were investigated. Then, the conventional principal component analysis was extended for intuitionistic fuzzy random variables. In this regard, score and loading plots were extended to analyze the first and the second principle components. A possible application of the proposed method was also illustrated via an practical psychology-relevant example.
Year
DOI
Venue
2019
10.1007/s40314-019-0939-9
Computational and Applied Mathematics
Keywords
DocType
Volume
Intuitionistic fuzzy random variable, Principal component, Covariance, Correlation, Eigenvalue, Loading plot, Score plot, 62A86, 62H25
Journal
38
Issue
ISSN
Citations 
4
2238-3603
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Gholamreza Hesamian16915.53
Mohammad Ghasem Akbari23112.04