S-generalized distances with respect to ordinal sums

نویسندگان

1 School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, PR China

2 School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, PR China

3 School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, PR China

4 School of Mathematics and Satistics, Jiangxi Normal University, Nanchang, PR China

doi
10.22111/ijfs.2023.45897.8079
چکیده

In this paper, the class of S-generalized distances such that the involved t-conorms S areordinal sums is discussed. It is shown that these S-generalized distances can be thought of as families of generalized distances with respect to some Archimedean t-conorms. We also deal with the S-generalized distance aggregations, which merge a family of S_{i}-generalized distances into a new S-generalized distance