An evaluation of non-redundant objective sets based on the spatial similarity ratio

Verfasser / Beitragende:
[Juan Zou, Jinhua Zheng, Cheng Deng, Ruimin Shen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/8(2015-08-01), 2275-2286
Format:
Artikel (online)
ID: 605470286
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024 7 0 |a 10.1007/s00500-014-1409-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1409-3 
245 0 3 |a An evaluation of non-redundant objective sets based on the spatial similarity ratio  |h [Elektronische Daten]  |c [Juan Zou, Jinhua Zheng, Cheng Deng, Ruimin Shen] 
520 3 |a Multi-objective optimization is a challenging task in many disciplines. Although a number of algorithms have simplified this problem by degenerating redundant objectives into low-dimensional sets, there is currently no consensus method for evaluating their performance. In this paper, we propose an evaluation method that uses a spatial similarity ratio (SSR) to determine the quality of non-redundant objective sets (NRSs). We consider the reduction of all NRSs of three functions from 5D to 2D or 3D using our SSR-based method, and compare the results to those given by an inverted generational distance-based method. The results demonstrate that our method is more accurate, as it takes information from both the non-redundant and redundant objective sets into consideration. In addition, using the proposed SSR-based approach, no prior knowledge of the true Pareto set is required. Therefore, we can conclude that our SSR-based method is feasible for the assessment of non-redundant objective sets. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Multi-objective optimization  |2 nationallicence 
690 7 |a Redundant objective reduction algorithm  |2 nationallicence 
690 7 |a Non-redundant objective sets  |2 nationallicence 
690 7 |a Spatial similarity ratio  |2 nationallicence 
690 7 |a Evaluation methodology  |2 nationallicence 
700 1 |a Zou  |D Juan  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
700 1 |a Zheng  |D Jinhua  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
700 1 |a Deng  |D Cheng  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
700 1 |a Shen  |D Ruimin  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/8(2015-08-01), 2275-2286  |x 1432-7643  |q 19:8<2275  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1409-3  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1409-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zou  |D Juan  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zheng  |D Jinhua  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Deng  |D Cheng  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shen  |D Ruimin  |u Information Engineering College of Xiangtan University, Xiangtan, Hunan Province, China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/8(2015-08-01), 2275-2286  |x 1432-7643  |q 19:8<2275  |1 2015  |2 19  |o 500