Metodo

International Studies in Phenomenology and Philosophy

Series | Book | Chapter

195211

Weighted means of subjective evaluations

Jaume CasasnovasJ. Vicente Riera

pp. 323-345

Abstract

In this article, we recall different student evaluation methods based on fuzzy set theory. The problem arises is the aggregation of this fuzzy information when it is presented as a fuzzy number. Such aggregation problem is becoming present in an increasing number of areas: mathematics, physic, engineering, economy, social sciences, etc. In the previously quoted methods the fuzzy numbers awarded by each evaluator are not directly aggregated. They are previously defuzzycated and then a weighted mean or other type of aggregation function is often applied. Our aim is to aggregate directly the fuzzy awards (expressed as discrete fuzzy numbers) and to get like a fuzzy set (a discrete fuzzy number) resulting from such aggregation, because we think that in the defuzzification process a large amount of information and characteristics are lost. Hence, we propose a theoretical method to build n-dimensional aggregation functions on the set of discrete fuzzy number. Moreover, we propose a method to obtain the group consensus opinion based on discrete fuzzy weighted normed operators.

Publication details

Published in:

Seising Rudolf, Sanz González Veronica (2012) Soft computing in humanities and social sciences. Dordrecht, Springer.

Pages: 323-345

DOI: 10.1007/978-3-642-24672-2_18

Full citation:

Casasnovas Jaume, Riera J. Vicente (2012) „Weighted means of subjective evaluations“, In: R. Seising & V. Sanz González (eds.), Soft computing in humanities and social sciences, Dordrecht, Springer, 323–345.