The hybrid averaging (HA) is an aggregation operator that uses the weighted average (WA) and the ordered weighted averaging (OWA) operator in the same formulation. In this paper, we introduce several generalizations of the HA operator by using generalized and quasi-arithmetic means, fuzzy numbers and order inducing variables in the reordering step of the aggregation process. We present the fuzz...

In this paper, some series of new intuitionistic fuzzy averaging aggregation operators has been presented under the intuitionistic fuzzy sets environment. For this, some shortcoming of the existing operators are firstly highlighted and then new operational law, by considering the hesitation degree between the membership functions, has been proposed to overcome these. Based on these new operatio...

The diagnosed complex Pythagorean fuzzy (CPF) set is a more valuable and dominant tool than the intuitionistic sets to describe awkward unreliable information effectively. Further, Archimedean t-norm t-conorm have significant influence depict relation among aggregated values. To take advantage of CPF t-conorm, assume norms algebraic, Einstein, Hamacher, frank at same time, in this analysis, fir...

An algorithm widely used in hotel companies for demand analysis is the so-called K-means. The aforementioned based on use of Euclidean distance as a dissimilarity measure and this fact can cause main handicap. Concretely, provides global difference between values descriptive variables that blur relative differences each component separately and, hence, cluster assign custom to an incorrect clus...

A summary on the symbolic basic arithmetic operators and aggre-gation operators of linguistic information developed by the authors is presented. In particular, label addition, label diierence, product of a label by a positive real number, and convex combination of labels are shown as the symbolic basic arithmetic operators, and two aggregation operators of linguistic information built using tho...