Averaging functions on triangular fuzzy numbers
General Mathematics
2023-01-09 v1
Abstract
Admissible orders on fuzzy numbers are total orders which refine a basic and well-known partial order on fuzzy numbers. In this work, we define an admissible order on triangular fuzzy numbers (i.e. TFN's) and study some fundamental properties with its arithmetic and their relation with this admissible order. In addition, we also introduce the concepts of average function on TFN$'s and studies a generalized structure of the vector spaces. In particular we consider the case of TFN's.
Cite
@article{arxiv.2301.02290,
title = {Averaging functions on triangular fuzzy numbers},
author = {Roberto Díaz and Aldryn Aparcana and Diego Soto and Nicolás Zumelzu and José Canumán and Álvaro Mella and Edmundo Mansilla and Benjamín Bedregal},
journal= {arXiv preprint arXiv:2301.02290},
year = {2023}
}
Comments
19 pages, essential info