Title
Lebesgue measure of α-cuts approach for finding the height of the membership function
Abstract
The goal of this paper is to present a procedure for finding the height (the global maximum) of a membership function of a fuzzy set of Rn, even for non-continuous membership functions, using the Lebesgue measure of α-cuts. Randomizing the variable and approximating the corresponding function to α-cuts completes the procedure. An algorithm is given for finding the height of the membership function, which is applied to some characteristic examples.
Year
DOI
Venue
2000
10.1016/S0165-0114(98)00162-6
Fuzzy Sets and Systems
Keywords
Field
DocType
Membership function,Height,α-level,Lebesgue measure,Lebesgue integral
Discrete mathematics,Measure (mathematics),Lebesgue measure,Fuzzy set,Membership function,Lebesgue integration,Mathematics
Journal
Volume
Issue
ISSN
111
3
0165-0114
Citations 
PageRank 
References 
5
0.67
1
Authors
2
Name
Order
Citations
PageRank
Endre Pap192191.69
Dusan Surla220323.14