Fuzzy weighted average as a fuzzified aggregation operator and its properties

Fuzzified weighted OWA (FWOWA) operator

In practice, it is often necessary to combine information from different sources. For this task, one of aggregation operators can be used. Probably the best-known of them are the weighted average and the OWA (ordered weighted average) operator. The weighted average makes it possible to assign importances to the individual information sources. On the other hand, with the OWA operator, the import...

Induced intuitionistic fuzzy ordered weighted averaging: Weighted average operator and its application to business decision-making

We present the induced intuitionistic fuzzy ordered weighted averaging-weighted average (I-IFOWAWA) operator. It is a new aggregation operator that uses the intuitionistic fuzzy weighted average (IFWA) and the induced intuitionistic fuzzy ordered weighted averaging (I-IFOWA) operator in the same formulation. We study some of its main properties and we have seen that it has a lot of particular c...

A New Justification for Weighted Average Aggregation in Fuzzy Techniques

In many practical situations, we need to decide whether a given solution is good enough, based on the degree ai to which different criteria are satisfied. In this paper, we show that natural requirements lead to the weighted average decision, according to which a solution is acceptable if ∑ wi ·ai ≥ t for some weights wi and threshold t. c ⃝2012 World Academic Press, UK. All rights reserved.

Fuzzy Generalized Prioritized Weighted Average Operator and Its Application in Multiple Attribute Group Decision Making

Generalized Aggregation Operators and Fuzzy Numbers in a Unified Model between the Weighted Average and the Owa Operator

We analyze different types of aggregation operators. We focus on the generalized OWA (GOWA) operator and the Quasi-OWA operator which generalize a wide range of aggregation operators. We also analyze a recent approach that unifies the weighted average and the OWA operator in the same formulation called ordered weighted averaging – weighted averaging (OWAWA) operator. We introduce the fuzzy gene...