Title
Multi-argument fuzzy measures on lattices of fuzzy sets
Abstract
In this paper, we axiomatically introduce fuzzy multi-measures on bounded lattices. In particular, we make a distinction between four different types of fuzzy set multi-measures on a universe X, considering both the usual or inverse real number ordering of this lattice and increasing or decreasing monotonicity with respect to the number of arguments. We provide results from which we can derive families of measures that hold for the applicable conditions in each case.
Year
DOI
Venue
2013
10.1016/j.knosys.2013.07.019
Knowl.-Based Syst.
Keywords
Field
DocType
lattice,negation,t norm
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy measure theory,Pure mathematics,Fuzzy set,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
ISSN
Citations 
53,
0950-7051
0
PageRank 
References 
Authors
0.34
14
3
Name
Order
Citations
PageRank
Elena Castiñeira16911.74
Tomasa Calvo246844.21
Susana Cubillo312821.87