%0 Journal Article
%T Aggregation of fuzzy metrics and its application in image segmentation
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Ralevic, N. M.
%A Delic, M.
%A Nedovic, Lj.
%D 2022
%\ 06/01/2022
%V 19
%N 3
%P 19-37
%! Aggregation of fuzzy metrics and its application in image segmentation
%K aggregation functions
%K distance function
%K Fuzzy metric
%K image segmentation
%K triangular conorms
%K triangular norms
%R 10.22111/ijfs.2022.6941
%X This paper proposes a novel method for the construction of a fuzzy metrics and demonstrates application in image segmentation. Some new properties of t-norms, t-conorms, aggregation functions, and fuzzy metrics are proved, which provides the procedures for constructing a new fuzzy metric. We prove that by applying some types of t-norms, t-conorms and aggregation functions on the sequence of fuzzy metrics, a new fuzzy metric could be obtained. The application of the fuzzy metric constructed in this way is illustrated in image segmentation by using the \textsf{FCM} algorithm. For the purpose of constructing a new fuzzy metric, an extended aggregation function called generalized quasi-arithmetic mean is considered.
%U https://ijfs.usb.ac.ir/article_6941_8da7287e93f7ded75132759e500066f3.pdf