Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition Multi-Objective Evolutionary Optimization: From
  State-of-the-Art to Future Opportunities   Decomposition has been the mainstream approach in the classic mathematical
programming for multi-objective optimization and multi-criterion
decision-making. However, it was not properly studied in the context of
evolutionary multi-objective optimization until the development of
multi-objective evolutionary algorithm based on decomposition (MOEA/D). In this
article, we present a comprehensive survey of the development of MOEA/D from
its origin to the current state-of-the-art approaches. In order to be
self-contained, we start with a step-by-step tutorial that aims to help a
novice quickly get onto the working mechanism of MOEA/D. Then, selected major
developments of MOEA/D are reviewed according to its core design components
including weight vector settings, sub-problem formulations, selection
mechanisms and reproduction operators. Besides, we also overviews some further
developments for constraint handling, computationally expensive objective
functions, preference incorporation, and real-world applications. In the final
part, we shed some lights on emerging directions for future developments.

29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th