The ordered weighted average inflation

Induced Unbalanced Linguistic Ordered Weighted Average

Aggregation operators for linguistic variables usually assume a uniform and symmetrical distribution of the linguistic terms that define the variable. This paper defines the Induced Unbalanced Linguistic Ordered Weighted Average (IULOWA). This aggregator takes into account the fuzzy membership functions of the terms during the aggregation operations of the pairs of terms. There is no restrictio...

Ordered Weighted Average Based Fuzzy Rough Sets

Traditionally, membership to the fuzzy-rough lower, resp. upper approximation is determined by looking only at the worst, resp. best performing object. Consequently, when applied to data analysis problems, these approximations are sensitive to noisy and/or outlying samples. In this paper, we advocate a mitigated approach, in which membership to the lower and upper approximation is determined by...

The Ordered Weighted Average in the Variance and the Covariance

Variance and the Covariance José M. Merigó,1,2,3,∗ Montserrat Guillén,1 José M. Sarabia4 1Department of Econometrics, Riskcenter–IREA, University of Barcelona, Barcelona 08034, Spain 2Manchester Business School, University of Manchester, Manchester M15 6 PB, United Kingdom 3Department of Management Control and Information Systems, University of Chile, Santiago 8330015, Chile 4Department of Econ...

Ordered Weighted Average optimization in Multiobjective Spanning Tree Problem

On the Average Height of b-Balanced Ordered Trees

An ordered tree with height h is b-balanced if all its leaves have a level l with h − b <= l <= h, where at least one leaf has a level equal to h − b. For large n, we shall compute asymptotic equivalents to the number of all b-balanced ordered trees with n nodes and of all such trees with height h. Furthermore, assuming that all b-balanced ordered trees with n nodes are equally likely, we shall...