Paper Info
Title
On an application of fuzzy relations in biogeography
Abstract
Starting from a quasi-ordering relation on a set, by a well-known construction, an equivalence relation could be made, as well as an ordering relation on the quotient set. In this paper, we give a similar fuzzy construction with lattice-valued fuzzy relations.If rho is a (crisp) correspondence from set A to set B, then a quasi-ordering relation a on the set B could be defined in the following way:(x,y) is an element of theta, if and only if(For All z is an element of A)((z,x) is an element of rho --> (z,y) is an element of rho).In this paper, an analogous fuzzy construction is given for a special type of fuzzy correspondences which appear in biogeography. From this correspondence, a quasi-ordering relation is obtained, a's well as the corresponding fuzzy similarity relation and fuzzy ordering relation on the set of similarity classes.This construction was developed to be applied in solving some problems of determining connections of different biogeographical areas according to recorded species. Here, those results have been applied to determine connections of biogeographical territories in the Balkan Peninsula, according to different species of Genus Cheilosia Meigen 1822 and;related gehera (Diptera: Syrphidae) (hover-flies).
Year
DOI
Venue
1996
10.1016/0020-0255(95)00221-9
Inf. Sci.
Keywords
Field
DocType
fuzzy relation,equivalence relation
Equivalence relation,Biogeography,Combinatorics,Fuzzy logic,Quotient,Fuzzy similarity,Fuzzy set,If and only if,Cheilosia,Mathematics
Journal
Volume
Issue
ISSN
89
1-2
0020-0255
Citations 
PageRank 
References 
7
1.59
0
Authors
2
Name
Order
Citations
PageRank
Andreja Tepavčevic1398.83
Ante Vujic271.93