In this paper, based on the induced ordered weighted distance(IOWD) measure, we present a wide range of 2-tuple linguistic induced generalized weighted distance operators. Firstly, we introduce the 2-tuple linguistic induced generalized ordered weighted distance(2TLIGOWD) operator, which is a generalization of the classical induced ordered weighted averaging(IOWA) operator that uses 2-tuple lin...

A Fermatean fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared intuitionistic and Pythagorean has energetic applications decision-making. Aggregation operators are very helpful for assessing alternatives decision-making process, their purpose integrate all individual evaluation values into unified form. In this research article, some new aggregatio...

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...

The ordered weighted averaging (OWA) operator by Yager has received more and more attention since its appearance. One key point in the OWA operator is to determine its associated weights. Among numerous methods that have appeared in the literature, we notice the maximum entropy OWA (MEOWA) weights that are determined by taking into account two appealing measures characterizing the OWA weights. ...

Different linguistic aggregation methods have been proposed and applied in the linguistic decision making problems. Generally, weights for experts or criteria are considered in linguistic aggregation processes. In this paper, we provide a method to discovery new forms to compute weights and new interpretations in the linguistic ordered weighted averaging operator. In linguistic decision analysi...

We present the induced generalized hybrid averaging (IGHA) operator. It is a new aggregation operator that generalizes the hybrid averaging (HA) by using generalized means and order inducing variables. With this formulation, we get a wide range of mean operators such as the induced HA (IHA), the induced hybrid quadratic averaging (IHQA), the HA, etc. The ordered weighted averaging (OWA) operato...

For multi-criteria group decision making problems with intuitionistic linguistic information, we define a new score function and a new accuracy function of intuitionistic linguistic numbers, and propose a simple approach for the comparison between two intuitionistic linguistic numbers. Based on the intuitionistic linguistic weighted arithmetic averaging (ILWAA) operator, we define two new intui...

In this paper we propose a special type of aggregation function which generalizes the notion of Ordered Weighted Averaging Function OWA. The resulting functions are called Dynamic Ordered Weighted Averaging Functions — DYOWAs. This generalization will be developed in such way that the weight vectors are variables depending on the input vector. Particularly, this operators generalize the aggrega...

We study the problem of decision making with Dempster-Shafer belief structure. We analyze the previous work developed by Yager about using the ordered weighted averaging (OWA) operator in the aggregation of the Dempster-Shafer decision process. We discuss the possibility of aggregating with an ascending order in the OWA operator for the cases where the smallest value is the best result. We sugg...

In the literature of poverty, it is well known that every poverty index should be sensitive to the incidence of poverty, the intensity of poverty and to the inequality among the poo individuals. However, the inequality among the poor could be measured analyzing either the income of the poor distribution, or the gap of the poor distribution. Depending on the side we focus on, contradictory resul...