TY - JOUR
T1 - A New Family of Metrics in Interval Space and Their Applications to Multicriteria Decision-Making Theory
AU - Chalco-Cano, Y.
AU - Costa, T. M.
AU - Bedregal, Benjamin
AU - Chalco Cano, Ademir G.
N1 - Publisher Copyright:
© 1993-2012 IEEE.
PY - 2024
Y1 - 2024
N2 - In this article, we analyze the properties of automorphisms in R2. Then, we consider a subclass of these automorphisms which generate a preference order relation and asymmetric distances between bounded and closed intervals. Symmetrizing these distances, we generate a new family of metrics in this space of intervals which depends on the automorphisms. We study its properties and give a characterization that allows us to calculate the distance between intervals in a simple way. We provide many examples to illustrate our results as well as an application in multicriteria decision-making methods with interval data.
AB - In this article, we analyze the properties of automorphisms in R2. Then, we consider a subclass of these automorphisms which generate a preference order relation and asymmetric distances between bounded and closed intervals. Symmetrizing these distances, we generate a new family of metrics in this space of intervals which depends on the automorphisms. We study its properties and give a characterization that allows us to calculate the distance between intervals in a simple way. We provide many examples to illustrate our results as well as an application in multicriteria decision-making methods with interval data.
KW - Metrics in interval spaces
KW - multicriteria decision-making (MCDM)
KW - order relations
UR - https://www.scopus.com/pages/publications/85207718005
U2 - 10.1109/TFUZZ.2024.3478827
DO - 10.1109/TFUZZ.2024.3478827
M3 - Article
AN - SCOPUS:85207718005
SN - 1063-6706
VL - 32
SP - 7086
EP - 7095
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 12
ER -