Aggregation of subjective evaluations based on discrete fuzzy numbers

JV Riera, J Torrens - Fuzzy Sets and Systems, 2012 - Elsevier
In this paper aggregation functions defined on the set of all discrete fuzzy numbers whose
support is a subset of consecutive natural numbers are introduced and the particular cases …

Extension of discrete t-norms and t-conorms to discrete fuzzy numbers

J Casasnovas, JV Riera - Fuzzy Sets and Systems, 2011 - Elsevier
The aim of this paper is to extend a monotone operation defined on a discrete setting to a
closed binary operation on the partially ordered set A1 of discrete fuzzy numbers whose …

Residual implications on the set of discrete fuzzy numbers

JV Riera, J Torrens - Information Sciences, 2013 - Elsevier
In this paper residual implications defined on the set of discrete fuzzy numbers whose
support is a set of consecutive natural numbers are studied. A specific construction of these …

Two-dimensional discrete fuzzy numbers and applications

G Wang, P Shi, Y **e, Y Shi - Information Sciences, 2016 - Elsevier
In this paper, the concept of two-dimensional discrete fuzzy numbers is presented based on
the idea of representation theorem of one-dimensional discrete fuzzy numbers. Then a …

Aggregation functions on the set of discrete fuzzy numbers defined from a pair of discrete aggregations

JV Riera, J Torrens - Fuzzy Sets and Systems, 2014 - Elsevier
In this paper we propose a method to construct aggregation functions on the set of discrete
fuzzy numbers whose support is a set of consecutive natural numbers from a couple of …

Weighted means of subjective evaluations

J Casasnovas, JV Riera - Soft Computing in Humanities and Social …, 2011 - Springer
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 …

Expressing and fusion computing of uncertain or imprecise digital information of multi-channel discrete quantity

T Wang, P Shi - Soft Computing, 2024 - Springer
In this paper, we study the problems of expressing and processing of multi-channel
uncertain digital information with discrete real number quantity attribute. The main works are …

Generalized discrete fuzzy number and application in risk evaluation

G Wang, J Wang - International Journal of Fuzzy Systems, 2015 - Springer
In this paper, the definition of generalized discrete fuzzy numbers is introduced, and a
representation theorem of such fuzzy numbers is obtained. Based on the representation …

Special Discrete Fuzzy Numbers on Countable Sets and Their Applications

N Qin, Z Gong - Symmetry, 2024 - mdpi.com
There are some drawbacks to arithmetic and logic operations of general discrete fuzzy
numbers, which limit their application. For example, the result of the addition operation of …

Some applications of the study of the image of a fuzzy number: countable fuzzy numbers, operations, regression and a specificity-type ordering

A Roldán, J Martínez-Moreno, C Roldán - Fuzzy Sets and Systems, 2014 - Elsevier
In this paper, we present a characterization of the image of a fuzzy number in terms of the
extremes of its level sets. Then we deduce some consequences: we show some …