Correlation measures of dual hesitant fuzzy sets
type: Item
instance of: scholarly article
title: Correlation measures of dual hesitant fuzzy sets
zbMATH Open document ID: 1397.03091
DOI: 10.1155/2013/593739
author: Lei Wang
author: Lei Zhu
author: Mingfang Ni
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: The dual hesitant fuzzy sets (DHFSs) were proposed by \textit{B. Zhu} et al. [ibid. 2012, Article ID 879629, 13 p. (2012; Zbl 1244.03152)], which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Correlation measures analysis is an important research topic. In this paper, we define the correlation measures for dual hesitant fuzzy information and then discuss their properties in detail. One numerical example is provided to illustrate these correlation measures. Then we present a direct transfer algorithm with respect to the problem of complex operation of matrix synthesis when reconstructing an equivalent correlation matrix for clustering DHFSs. Furthermore, we prove that the direct transfer algorithm is equivalent to transfer closure algorithm, but its asymptotic time complexity and space complexity are superior to the latter. Another real world example, that is, diamond evaluation and classification, is employed to show the effectiveness of the association coefficient and the algorithm for clustering DHFSs.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 6950769
Wikidata QID: Q59003199
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/593739
OpenAlex ID: W2049798354
DBLP publication ID: journals/jam/WangNZ13
description: scientific article; zbMATH DE number 6950769