In this paper, a vector version of the intermediate value theorem is established. The main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{On fixed point theorems for monotone increasing vector valued mappings via scalarizing}, Positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixe...

• A new trigger is developed to control when the weight should be updated. adaptive weighting method proposed. decomposition algorithm with weights updated adaptively The proposed applied solve various multiobjective optimization problems . Recently, decomposition-based evolutionary algorithms (DMEAs) have become more prevalent than other patterns (e.g., Pareto-based and indicator-based algorit...

The global optimization of constrained Non-Linear Bi-Objective Optimization problems (NLBOO) aims at covering their Pareto-optimal front which is in general a manifold in R. Continuation methods can help in this context as they can follow a continuous component of this front once an initial point on it is provided. They constitute somehow a generalization of the classical scalarizing framework ...

The interactive algorithm [2] are widely used for solving multicriteria linear integer programming problems. Some of the interactive algorithms work with the aspiration levels of the criteria, others use weights to denote the relative significance of the criteria. We propose a learning-oriented [4] interactive algorithm for solving multicriteria linear integer programming problems. The main fea...

in this paper, a vector version of the intermediate value theorem is established. the main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{on fixed point theorems for monotone increasing vector valued mappings via scalarizing}, positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixe...

In solving multi-objective optimization problems, evolutionary methods have been adequately applied to demonstrate that multiple Pareto-optimal solutions can be found in a single simulation run. In this paper, we discuss and put together various different classical generating methods which are either quite well-known or are in oblivion due to lack available resources and some of which were even...

We consider the problem of identifying patterns in a data set that exhibit anomalous behavior, often referred to as anomaly detection. In most anomaly detection algorithms, the dissimilarity between data samples is calculated by a single criterion, such as Euclidean distance. However, in many cases there may not exist a single dissimilarity measure that captures all possible anomalous patterns....