An interactive preference based multiobjective evolutionary algorithm for the clustering problem

Download
2011
Demirtaş, Kerem
We propose an interactive preference-based evolutionary algorithm for the clustering problem. The problem is highly combinatorial and referred to as NP-Hard in the literature. The goal of the problem is putting similar items in the same cluster and dissimilar items into different clusters according to a certain similarity measure, while maintaining some internal objectives such as compactness, connectivity or spatial separation. However, using one of these objectives is often not sufficient to detect different underlying structures in different data sets with clusters having arbitrary shapes and density variations. Thus, the current trend in the clustering literature is growing into the use of multiple objectives as the inadequacy of using a single objective is understood better. The problem is also difficult because the optimal solution is not well defined. To the best of our knowledge, all the multiobjective evolutionary algorithms for the clustering problem try to generate the whole Pareto optimal set. This may not be very useful since majority of the solutions in this set may be uninteresting when presented to the decision maker. In this study, we incorporate the preferences of the decision maker into a well known multiobjective evolutionary algorithm, namely SPEA-2, in the optimization process using reference points and achievement scalarizing functions to find the target clusters.

Suggestions

Identifying preferred solutions in multiobjective combinatorial optimization problems
Lokman, Banu (2019-01-01)
We develop an evolutionary algorithm for multiobjective combinatorial optimization problems. The algorithm aims at converging the preferred solutions of a decision-maker. We test the performance of the algorithm on the multiobjective knapsack and multiobjective spanning tree problems. We generate the true nondominated solutions using an exact algorithm and compare the results with those of the evolutionary algorithm. We observe that the evolutionary algorithm works well in approximating the solutions in the...
An interactive evolutionary metaheuristic for multiobjective combinatorial optimization
Phelps, S; Köksalan, Mustafa Murat (2003-12-01)
We propose an evolutionary metaheuristic for multiobjective combinatorial optimization problems that interacts with the decision maker (DM) to guide the search effort toward his or her preferred solutions. Solutions are presented to the DM, whose pairwise comparisons are then used to estimate the desirability or fitness of newly generated solutions. The evolutionary algorithm comprising the skeleton of the metaheuristic makes use of selection strategies specifically designed to address the multiobjective na...
Efficient and Accurate Electromagnetic Optimizations Based on Approximate Forms of the Multilevel Fast Multipole Algorithm
Onol, Can; Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2016-01-01)
We present electromagnetic optimizations by heuristic algorithms supported by approximate forms of the multilevel fast multipole algorithm (MLFMA). Optimizations of complex structures, such as antennas, are performed by considering each trial as an electromagnetic problem that can be analyzed via MLFMA and its approximate forms. A dynamic accuracy control is utilized in order to increase the efficiency of optimizations. Specifically, in the proposed scheme, the accuracy is used as a parameter of the optimiz...
An Evolutionary Algorithm for the Multi-objective Multiple Knapsack Problem
SOYLU, Banu; Köksalan, Mustafa Murat (2009-06-26)
In this study, we consider the multi-objective multiple knapsack problem (MMKP) and we adapt our favorable weight based evolutionary algorithm (FWEA) to approximate the efficient frontier of MMKP. The algorithm assigns fitness to solutions based on their relative strengths as well as their non-dominated frontiers. The relative strength is measured based on a weighted Tchebycheff distance from the ideal point where each Solution chooses its own weights that minimize its distance from the ideal point. We carr...
A Meta-Heuristic Paradigm for solving the Forward Kinematics of 6-6 General Parallel Manipulator
Chandra, Rohitash; Frean, Marcus; Rolland, Luc (2009-12-18)
The forward kinematics of the general Gough platform, namely the 6-6 parallel manipulator is solved using hybrid meta-heuristic techniques in which the simulated annealing algorithm replaces the mutation operator in a genetic algorithm. The results are compared with the standard simulated annealing and genetic algorithm. It shows that the standard simulated annealing algorithm outperforms standard genetic algorithm in terms of computation time and overall accuracy of the solution on this problem. However, t...
Citation Formats
K. Demirtaş, “An interactive preference based multiobjective evolutionary algorithm for the clustering problem,” M.S. - Master of Science, Middle East Technical University, 2011.