Abstract
The paper evaluates the suitability of examples used in developing averaging techniques of multi-objective optimization (MOO). Most of the examples used for proposing these techniques were not suitable. The results of these examples have also not been interpreted correctly. An appropriate example has also been solved with existing and improved averaging techniques of multi-objective optimization.
Highlights
The importance of examples in understanding the mathematical theories or mathematical interpretations is very well recognised
The present study evaluates the suitability of the examples used in the development of new averaging multi-objective optimization (MOO) techniques
The present analysis reveals that the examples used for testing existing averaging MOO techniques in many studies were not suitable for the purpose
Summary
The importance of examples in understanding the mathematical theories or mathematical interpretations is very well recognised. Examples are quite relevant for making any mathematical theory or concept more realistic and acceptable. The present study evaluates the suitability of the examples used in the development of new averaging MOO techniques. Seven examples used in these MOO techniques have been selected for the present analysis. The presence of conflicts amongst objectives is the main characteristic of an appropriate example. The results of these examples and their interpretations have been reviewed. The results of the existing averaging MOO techniques using these examples have not been interpreted correctly. An appropriate example has been solved using existing and improved averaging MOO techniques [12] for comparison
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