@misc{10481/84441,
year = {2023},
month = {12},
url = {https://hdl.handle.net/10481/84441},
abstract = {In this paper, based on the analysis of the most widely used dispersion measure in the real context (namely, the variance), we introduce the notion of fuzzy dispersion measure associated to a finite set of data given by fuzzy numbers. This measure is implemented as a fuzzy number, so there is no loss of information caused by any defuzzification. The proposed concept satisfies the usual properties in a genuinely fuzzy sense and it avoids limitations in terms of its geometric shape or its analytical properties: under this conception, it could have a piece of its support in the negative part of the real line. This novel notion can be interpreted as a way of fusing the information included in a fuzzy data set in order to make a decision based on its dispersion. To illustrate the main characteristics of this approach, we present an example of a fuzzy dispersion measure that allows to conclude that this new way to deal this problem is coherent, at least, from the point of view of human intuition.},
organization = {FEDER/Junta de Andalucia-Consejeria de Transformacion Economica, Industria, Conocimiento y Universidades
	A-FQM-170-UGR20},
organization = {Instituto de Salud Carlos III
Spanish Government
	PID2020-119478GB-I00,
	
	PID2019-108392GB-I00},
publisher = {Elsevier},
keywords = {Dispersion measure},
keywords = {Fuzzy set},
keywords = {Fuzzy number},
keywords = {Variance},
keywords = {Decision making},
title = {On the notion of fuzzy dispersion measure and its application to triangular fuzzy numbers},
doi = {10.1016/j.inffus.2023.101905},
author = {Roldán López de Hierro, Antonio Francisco and Rueda García, María Del Mar and Roldán López Del Hierro, Concepción Beatriz},
}