The type-1 ordered weighted averaging (T1OWA) operator has demonstrated the capacity for directly aggregating multiple sources of linguistic information modeled by fuzzy sets rather than crisp values. Yager's (OWA) operators possess properties idempotence, monotonicity, compensativeness, and commutativity. This article aims to address whether or not T1OWA these when inputs associated weights ar...

This paper concerns with rank-dependent poverty measures and shows that an ordered weighted averaging, hereafter OWA, operator is underlying in the definition of these indices. The dual decomposition of an OWA operator into the self-dual core and the anti-self-dual remainder allows us to propose a decomposition for all the rank-dependent poverty measures in terms of incidence, intensity and ine...

The ordered weighted averaging (OWA) operator is one of the most used techniques in operator’s aggregation procedure. This paper proposes a new assignment algorithm by using OWA and different extensions it Branch-and-bound algorithm. process based on use average distance (OWAD) induced OWAD (IOWAD). We present as with (BBAOWAD) IOWAD (BBAIOWAD). main advantage this approach that we can obtain m...

A new method for decision making that uses the ordered weighted averaging (OWA) operator in the aggregation of the information is presented. It is used a concept that it is known in the literature as the index of maximum and minimum level (IMAM). This index is based on distance measures and other techniques that are useful for decision making. By using the OWA operator in the IMAM, we form a ne...

We develop a new approach that uses the ordered weighted averaging (OWA) operator in the selection of financial products. In doing so, we introduce the ordered weighted averaging distance (OWAD) operator and the ordered weighted averaging adequacy coefficient (OWAAC) operator. These aggregation operators are very useful for decision-making problems because they establish a comparison between an...

In this paper we show how the distribution of the discrete Choquet integral can be analytically computed. The advantage of having an analytical expression is that the value of the cumulative distribution function (cdf) can be computed exactly for the Choquet. We also derive an expression for the density of the Ordered Weighted Average (OWA) operator, which is a special case of the Choquet.

Assuming a group decision making problem where the experts express their opinions by means of linguistic preference relations, the application of the Linguistic OWA operator guided by fuzzy majority is analyzed. Two diierent perspectives of the use of the LOWA operator are presented: (i) in the selection process, to aggregate individual linguistic preference relations in a collective one and to...

This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corr...

By using a method based upon the Briot-Bouquet differential subordination, we investigate some subordination properties of the generalized fractional integral operator , , 0,z       p    which was defined by Owa, Saigo and Srivastava [1]. Some interesting further consequences are also considered.