In recent work authors have proposed four new aggregation operators for triangular and trapezoidal fuzzy numbers based on means of apex angles [1][2][3][4]. Subsequently authors have proposed [5] a new aggregation operator for TFNs based on the arithmetic mean of slopes of the Land Rmembership lines. In this paper the work is extended and a new aggregation operator for TFNs is proposed in which...

An overview of multivariate modelling based on logistic and exponential smooth transition models with transition variable generated by aggregation operators and orders of auto and exogenous regression selected by information criterion separately for each regime is given. Model specification procedure is demonstrated on trivariate exchange rates time series. The application results show satisfac...

Single-valued neutrosophic numbers (SVNNs) can express incomplete, indeterminate, and inconsistent information in the real world. Then, the common weighted aggregation operators of SVNNs may result in unreasonably aggregated results in some situations. Based on the hybrid weighted arithmetic and geometric aggregation and hybrid ordered weighted arithmetic and geometric aggregation ideas, this p...

Aggregation processes are fundamental in any discipline where the fusion of information is of vital interest. For aggregating binary fuzzy relations such as equivalence relations or fuzzy orderings, the question arises which aggregation operators preserve specific properties of the underlying relations, e.g. T -transitivity. It will be shown that preservation of T -transitivity is closely relat...

Two different characterizations of self-dual aggregation operators are available in the literature: one based on C(x, y) = x/(x + 1 − y) and one based on the arithmetic mean. In this contribution, we fit the existing approaches into a more general framework and characterize N -invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes th...

In this paper the relationship between symmetric minitive, maxitive, and modular aggregation operators is considered. It is shown that the intersection between any two of the three discussed classes is the same. Moreover, the intersection is explicitly characterized. It turns out that the intersection contains families of aggregation operators such as OWMax, OWMin, and many generalizations of t...

Yager et al. first introduce compensatory operators. This paper further introduces a kind of weighted compensatory operators, and a kind of prioritized compensatory operators. The difference between these similar classes of operators are identified. In addition, the paper introduces the concepts of ordered weighted/prioritized compensatory aggregation.

We consider different types of aggregation operators such as the heavy ordered weighted averaging (HOWA) operator and the fuzzy ordered weighted averaging (FOWA) operator. We introduce a new extension of the OWA operator called the fuzzy heavy ordered weighted averaging (FHOWA) operator. The main characteristic of this aggregation operator is that it deals with uncertain information represented...

This paper presents the fuzzy induced heavy ordered weighted averaging (FIHOWA) operator. It is an aggregation operator that uses the main characteristics of three well known aggregation operators: the heavy OWA, the induced OWA and the fuzzy OWA operator. Therefore, this operator provides a parameterized family of aggregation operators that includes the OWA operator and the total operator as s...

Sliding-window aggregation is a widely-used approach for extracting insights from the most recent portion of a data stream. Most aggregation operations of interest can be cast as binary operators that are associative, but not necessarily commutative nor invertible. However, non-invertible operators are nontrivial to support efficiently. The best existing algorithms for this setting require Oplo...