Properties of f correlated fuzzy numbers

Diogo Sampaio da Silva; Roberto Antonio Cordeiro Prata

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arXiv · 2412.00045

Properties of f correlated fuzzy numbers

Diogo Sampaio da Silva·Roberto Antonio Cordeiro Prata

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Abstract

This paper presents some concepts of the theory of interactive fuzzy numbers, and mainly, a class of interactive fuzzy numbers, called $f$-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 $f$-correlation preserve the shape of certains fuzzy numbers. More specificaly, if two fuzzy numbers are $f$ 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 $f$-correlated fuzzy numbers wich are interesting to applications like biomathematics.

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Diogo Sampaio da Silva, Roberto Antonio Cordeiro Prata. 2024-11-23. Properties of f correlated fuzzy numbers. https://arxiv.org/abs/2412.00045

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