Development of child's home environment indexes based on consistent families of aggregation operators with prioritized hierarchical information



Downloads per month over past year

Rojas, Karina and Gómez, Daniel and Montero, Javier and Rodríguez, Juan Tinguaro and Valdivia, Andrea and Paiva, Francisco (2014) Development of child's home environment indexes based on consistent families of aggregation operators with prioritized hierarchical information. Fuzzy sets and systems, 241 (SI). pp. 41-60. ISSN 0165-0114

[thumbnail of Montero202Elsevier.pdf] PDF
Restringido a Repository staff only hasta 31 December 2025.


Official URL:


The interventions aimed at the early childhood are of a main interest in educational policy, since it is in this period when it is possible to produce a major impact in the subsequent human development. The quality of children's social environment is the main influence to consider in achieving sound child development, affecting throughout school life. For this reason, the development of child's environment indexes appears in a natural way in the evaluation of all kind of educational policy research and social programs. However, crisp measures and indexes, based on usual linear techniques, do not ensure an adequate representation of social reality, since this last has a fuzzy nature and a nonlinear behavior. The development of indexes can be seen as an aggregation problem. In this paper, we extend the notions of consistency and strict stability of a family of aggregation operators (FAO), proposed in a previous work of the authors for the case of an aggregation process in which the data have no particular structure, to the case in which the information has a prioritized hierarchical structure. This extended notion of strict stability is then used to address the construction of indexes. Particularly, we apply this approach to develop a construction method of child's home environment indexes in which a stable family of prioritized aggregation operators is used in order to ensure robustness of the aggregation process when the information has a lineal structure. These indexes are built using fuzzy data that fit into a hierarchical structure by means of a stable family of prioritized aggregation operators based on the prioritized operator formulated by Yager, where the order relationship over fuzzy information was defined by experts on child development.

Item Type:Article
Additional Information:

Conferencia: EUROFUSE Workshop on Fuzzy Methods for Knowledge-Based Systems, UTAD Univ, CITAB Res Ctr, Regua, PORTUGAL, SEP 21-23, 2011

Uncontrolled Keywords:Aggregation operators; Stability; Prioritized operators; Hierarchical data; Consistency; Self-identity; Fuzzy sets; Home environment; Social indexes
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:25833
Deposited On:12 Jun 2014 10:33
Last Modified:19 Apr 2016 14:54

Origin of downloads

Repository Staff Only: item control page