Diego García-Zamora, Anderson Cruz, Fernando Neres, Antonio Francisco Roldán López de Hierro, Regivan H. N. Santiago, Humberto Bustince
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On the admissibility of the alpha-order for fuzzy numbers
The concept of alpha-order has been recently introduced as a binary relation that allows ranking fuzzy sets with bounded support and whose \(\beta \)-cuts are closed subsets with a finite number of connected components. This paper explores some key properties of such alpha-order. Specifically, we will focus on admissibility, a fundamental property for any ranking method defined for fuzzy numbers since it guarantees that such a ranking method is consistent with the usual order on the real line.
期刊介绍：
Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics).
The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.
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