Academic
Publications
Fuzzy set approach to the utility, preference relations, and aggregation operators

Fuzzy set approach to the utility, preference relations, and aggregation operators,10.1016/j.ejor.2005.07.016,European Journal of Operational Research

Fuzzy set approach to the utility, preference relations, and aggregation operators   (Citations: 9)
BibTex | RIS | RefWorks Download
Score x=(x1,…,xn) describing an alternative α is modelled by means of a continuous quasi-convex fuzzy quantity μα=μx, thus allowing to compare alternatives (scores) by means of fuzzy ordering (comparison) methods. Applying some defuzzification method leads to the introduction of operators acting on scores. A special stress is put on the Mean of Maxima defuzzification method allowing to introduce several averaging aggregation operators. Moreover, our approach allows to introduce weights into above mentioned aggregation, even in the non-anonymous (non-symmetric) case. Finally, Ordered Weighted Aggregation Operators (OWAO) are introduced, generalizing the standard OWA operators.
Journal: European Journal of Operational Research - EJOR , vol. 176, no. 1, pp. 414-422, 2007
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
    • ...In [7,20,8,13,14] the authors have studied penalty-based aggregation functions from several perspectives...
    • ...Faithful penalty based function f in Definition 14 is not always monotone, but in a special case of p given by p(t, s )= K(h(t) − h(s)) it is, as shown in [13], and therefore it is an aggregation function...

    Gleb Beliakovet al. On the Median and Its Extensions

    • ...Di (x, y) = Ki ( fi (x)− fi (y)), with Ki :] −∞, ∞[ → ]−∞, ∞[ a convex function with the unique minimum Ki (0) = 0, and fi : I → ] −∞ , ∞[, a strictly monotone continuous real function. For more details see [34]...
    • ...Note that in [34], the conditions on DE F ensuring the idempotency and monotonicity of the aggregation function DE F(U ) are discussed...

    Radko Mesiaret al. A Review of Aggregation Functions

    • ...tone. In this case, f is an aggregation function [34] and falls into the class of faithful penalty-based aggregation functions...
    • ...Example 3. [34, 35] Consider the inputs of different sensors, which need to be averaged (e.g., temperature sensors)...

    Gleb Beliakovet al. On Penalty-Based Aggregation Functions and Consensus

Sort by: