English

Properties of f correlated fuzzy numbers

General Mathematics 2024-12-03 v1

Abstract

This paper presents some concepts of the theory of interactive fuzzy numbers, and mainly, a class of interactive fuzzy numbers, called ff-correlated fuzzy numbers. We start from the foundations of general fuzzy mathematics and go through operations and the notion of interactivity for fuzzy numbers. The main result is that ff-correlation preserve the shape of certains fuzzy numbers. More specificaly, if two fuzzy numbers are ff correlated, and one is a LR-type fuzzy number, the other is also a LR-type fuzzy number. This paper also presents some operations with the ff-correlated fuzzy numbers wich are interesting to applications like biomathematics.

Keywords

Cite

@article{arxiv.2412.00045,
  title  = {Properties of f correlated fuzzy numbers},
  author = {Diogo Sampaio da Silva and Roberto Antonio Cordeiro Prata},
  journal= {arXiv preprint arXiv:2412.00045},
  year   = {2024}
}

Comments

6 pages, no figures