Title
Some new approaches to constructing similarity measures
Abstract
The purpose of this paper is threefold. Firstly, based on the concept of fuzzy equivalence given by Fodor and Roubens, we propose different methods for the construction of fuzzy equivalencies from biresiduations, automorphisms, fuzzy negations, t-norms and t-conorms. Secondly, we give two manners of generating similarity measures of P.Z. Wang from fuzzy equivalencies. Finally, some properties of the two kinds of similarity measures are discussed and compared.
Year
DOI
Venue
2014
10.1016/j.fss.2013.03.008
Fuzzy Sets and Systems
Keywords
Field
DocType
fuzzy negation,fuzzy equivalence,different method,similarity measure,fuzzy equivalencies,new approach,fuzzy set
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Fuzzy mathematics,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
ISSN
Citations 
234,
0165-0114
18
PageRank 
References 
Authors
0.69
8
3
Name
Order
Citations
PageRank
Yingfang Li1687.41
Keyun Qin248039.80
Xingxing He38413.90