메뉴 건너뛰기




Volumn 19, Issue 3, 2015, Pages 400-413

An algorithm for many-objective optimization with reduced objective computations: A study in differential evolution

Author keywords

Correlation based ordering; differential evolution; elitism; many objective optimization; structural optimization

Indexed keywords

ALGORITHMS; MULTIOBJECTIVE OPTIMIZATION; OPTIMIZATION; STRUCTURAL OPTIMIZATION;

EID: 84930936915     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2014.2332878     Document Type: Article
Times cited : (100)

References (63)
  • 1
    • 0036530772 scopus 로고    scopus 로고
    • A fast and elitist multiobjective genetic algorithm: NSGA-II
    • Apr
    • K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, "A fast and elitist multiobjective genetic algorithm: NSGA-II," IEEE Trans. Evol. Comput., vol. 6, no. 2, pp. 182-197, Apr. 2002.
    • (2002) IEEE Trans. Evol. Comput. , vol.6 , Issue.2 , pp. 182-197
    • Deb, K.1    Pratap, A.2    Agarwal, S.3    Meyarivan, T.4
  • 2
    • 0003050299 scopus 로고    scopus 로고
    • The Pareto envelopebased selection algorithm for multiobjective optimization
    • Berlin, Germany
    • D. W. Corne, J. D. Knowles, and M. J. Oates, "The Pareto envelopebased selection algorithm for multiobjective optimization," in Proc. Parallel Problem Solving Nature VI Conf., Berlin, Germany, 2002, pp. 839-848.
    • (2002) Proc. Parallel Problem Solving Nature VI Conf. , pp. 839-848
    • Corne, D.W.1    Knowles, J.D.2    Oates, M.J.3
  • 3
    • 2942547409 scopus 로고    scopus 로고
    • SPEA2: Improving the strength Pareto evolutionary algorithm for multiobjective optimization
    • Barcelona, Spain: CIMNE
    • E. Zitzler, M. Laumanns, and L. Thiele, "SPEA2: Improving the strength Pareto evolutionary algorithm for multiobjective optimization," in Evolutionary Methods for Design, Optimisation, and Control. Barcelona, Spain: CIMNE, 2002, pp. 95-100.
    • (2002) Evolutionary Methods for Design, Optimisation, and Control. , pp. 95-100
    • Zitzler, E.1    Laumanns, M.2    Thiele, L.3
  • 4
    • 34548137363 scopus 로고    scopus 로고
    • Techniques for highly multiobjective optimisation: Some nondominated points are better than others
    • London, U.K.
    • D. W. Corne and J. D. Knowles, "Techniques for highly multiobjective optimisation: Some nondominated points are better than others," in Proc. 9th Annu. Conf. Genet. Evol. Comput., London, U.K., 2007, pp. 773-780.
    • (2007) Proc. 9th Annu. Conf. Genet. Evol. Comput. , pp. 773-780
    • Corne, D.W.1    Knowles, J.D.2
  • 5
    • 84883058694 scopus 로고    scopus 로고
    • On the optimal solution definition for manycriteria optimization problems
    • Piscataway, NJ, USA, Jun
    • M. Farina and P. Amato, "On the optimal solution definition for manycriteria optimization problems," in Proc. Int. Conf. North Amer. Fuzzy Inf. Process. Soc. (NAFIPS-FLINT), Piscataway, NJ, USA, Jun. 2002, pp. 233-238.
    • (2002) Proc. Int. Conf. North Amer. Fuzzy Inf. Process. Soc. (NAFIPS-FLINT) , pp. 233-238
    • Farina, M.1    Amato, P.2
  • 6
    • 84901459041 scopus 로고    scopus 로고
    • Evolutionary many-objective optimisation: An exploratory analysis
    • R. C. Purshouse and P. J. Fleming, "Evolutionary many-objective optimisation: An exploratory analysis," in Proc. Congr. Evol. Comput. (CEC), vol. 3. 2003, pp. 2066-2073.
    • (2003) Proc. Congr. Evol. Comput. (CEC) , vol.3 , pp. 2066-2073
    • Purshouse, R.C.1    Fleming, P.J.2
  • 7
    • 35248887077 scopus 로고    scopus 로고
    • Performance scaling of multi-objective evolutionary algorithms
    • Berlin, Germany: Springer
    • V. Khare, X. Yao, and K. Deb, "Performance scaling of multi-objective evolutionary algorithms," in Evolutionary Multi-Criterion Optimization. Berlin, Germany: Springer, 2003, pp. 376-390.
    • (2003) Evolutionary Multi-Criterion Optimization. , pp. 376-390
    • Khare, V.1    Yao, X.2    Deb, K.3
  • 9
    • 27144473875 scopus 로고    scopus 로고
    • Evolutionary many-objective optimisation: Many once or one many?
    • Edinburgh, U.K.
    • E. J. Hughes, "Evolutionary many-objective optimisation: Many once or one many?" in Proc. 2005 IEEE Congr. Evol. Comput., vol. 1. Edinburgh, U.K., pp. 222-227.
    • Proc. 2005 IEEE Congr. Evol. Comput. , vol.1 , pp. 222-227
    • Hughes, E.J.1
  • 10
    • 0037118776 scopus 로고    scopus 로고
    • Optimization with simulation and multiobjective analysis in industrial decision-making: A case study
    • I. Alberto, C. Azcárate, F. Mallor, and P. M. Mateo, "Optimization with simulation and multiobjective analysis in industrial decision-making: A case study," Eur. J. Oper. Res., vol. 140, no. 2, pp. 373-383, 2002.
    • (2002) Eur. J. Oper. Res. , vol.140 , Issue.2 , pp. 373-383
    • Alberto, I.1    Azcárate, C.2    Mallor, F.3    Mateo, P.M.4
  • 11
    • 80051972885 scopus 로고    scopus 로고
    • A review of techniques for handling expensive functions in evolutionary multi-objective optimization
    • Berlin, Germany: Springer
    • L. V. Santana-Quintero, "A review of techniques for handling expensive functions in evolutionary multi-objective optimization," in Computational Intelligence in Expensive Optimization Problems. Berlin, Germany: Springer, 2010, pp. 29-59.
    • (2010) Computational Intelligence in Expensive Optimization Problems. , pp. 29-59
    • Santana-Quintero, L.V.1
  • 12
    • 79955353433 scopus 로고    scopus 로고
    • MSOPS-II: A general-purpose many-objective optimiser
    • Singapore
    • E. J. Hughes, "MSOPS-II: A general-purpose many-objective optimiser," in Proc. IEEE Congr. Evol. Comput., (CEC), Singapore, 2007, pp. 3944-3951.
    • (2007) Proc. IEEE Congr. Evol. Comput. (CEC) , pp. 3944-3951
    • Hughes, E.J.1
  • 13
    • 84901428951 scopus 로고    scopus 로고
    • Multiple single objective Pareto sampling
    • vol. 4
    • E. J. Hughes, "Multiple single objective Pareto sampling," in Proc. 2003 Congr. Evol. Comput. (CEC), vol. 4. pp. 2678-2684.
    • Proc. 2003 Congr. Evol. Comput. (CEC) , pp. 2678-2684
    • Hughes, E.J.1
  • 14
    • 39049150324 scopus 로고    scopus 로고
    • A new fuzzy dominance GA applied to solve many-objective optimization problem
    • Kumamoto, Japan
    • G. Wang and J. Wu, "A new fuzzy dominance GA applied to solve many-objective optimization problem," in Proc. 2nd Int. Conf. Innovat. Comput., Inf. Control (ICICIC), Kumamoto, Japan, 2007, p. 617.
    • (2007) Proc. 2nd Int. Conf. Innovat. Comput., Inf. Control (ICICIC) , pp. 617
    • Wang, G.1    Wu, J.2
  • 15
    • 4844225821 scopus 로고    scopus 로고
    • Multiobjective gas, quantitative indices, and pattern classification
    • Oct
    • S. Bandyopadhyay, S. K. Pal, and B. Aruna, "Multiobjective gas, quantitative indices, and pattern classification," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 5, pp. 2088-2099, Oct. 2004.
    • (2004) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.34 , Issue.5 , pp. 2088-2099
    • Bandyopadhyay, S.1    Pal, S.K.2    Aruna, B.3
  • 16
    • 79951564654 scopus 로고    scopus 로고
    • HypE: An algorithm for fast hypervolume-based many-objective optimization
    • J. Bader and E. Zitzler, "HypE: An algorithm for fast hypervolume-based many-objective optimization," Evol. Comput., vol. 19, no. 1, pp. 45-76, 2011.
    • (2011) Evol. Comput. , vol.19 , Issue.1 , pp. 45-76
    • Bader, J.1    Zitzler, E.2
  • 17
    • 52349093854 scopus 로고    scopus 로고
    • A new evolutionary algorithm for solving many-objective optimization problems
    • Oct
    • X. Zou, Y. Chen, M. Liu, and L. Kang, "A new evolutionary algorithm for solving many-objective optimization problems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 5, pp. 1402-1412, Oct. 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.38 , Issue.5 , pp. 1402-1412
    • Zou, X.1    Chen, Y.2    Liu, M.3    Kang, L.4
  • 18
    • 77955577791 scopus 로고    scopus 로고
    • Efficient evolutionary approach to approximate the Pareto-optimal set in multiobjective optimization, UPSEMOA
    • T. Aittokoski and K. Miettinen, "Efficient evolutionary approach to approximate the Pareto-optimal set in multiobjective optimization, UPSEMOA," Optim. Methods Softw., vol. 25, no. 6, pp. 841-858, 2010.
    • (2010) Optim. Methods Softw. , vol.25 , Issue.6 , pp. 841-858
    • Aittokoski, T.1    Miettinen, K.2
  • 20
    • 79953276040 scopus 로고    scopus 로고
    • Diversity management in evolutionary many-objective optimization
    • Apr
    • S. F. Adra and P. J. Fleming, "Diversity management in evolutionary many-objective optimization," IEEE Trans. Evol. Comput., vol. 15, no. 2, pp. 183-195, Apr. 2011.
    • (2011) IEEE Trans. Evol. Comput. , vol.15 , Issue.2 , pp. 183-195
    • Adra, S.F.1    Fleming, P.J.2
  • 21
    • 84866860135 scopus 로고    scopus 로고
    • Handling many-objective problems using an improved NSGA-II procedure
    • Brisbane, QLD, Australia
    • K. Deb and H. Jain, "Handling many-objective problems using an improved NSGA-II procedure," in Proc. 2012 IEEE Congr. Evol. Comput. (CEC), Brisbane, QLD, Australia, pp. 1-8.
    • Proc. 2012 IEEE Congr. Evol. Comput. (CEC) , pp. 1-8
    • Deb, K.1    Jain, H.2
  • 22
    • 84875485202 scopus 로고    scopus 로고
    • An improved adaptive approach for elitist nondominated sorting genetic algorithm for many-objective optimization
    • Sheffield, U.K
    • H. Jain and K. Deb, "An improved adaptive approach for elitist nondominated sorting genetic algorithm for many-objective optimization," in Proc. Evol. Multi-Criterion Optim. (EMO), Sheffield, U.K., 2013, pp. 307-321.
    • (2013) Proc. Evol. Multi-Criterion Optim. (EMO) , pp. 307-321
    • Jain, H.1    Deb, K.2
  • 24
    • 79952570730 scopus 로고    scopus 로고
    • The control of dominance area in particle swarm optimization algorithms for many-objective problems
    • Sao Paulo, Brazil
    • A. B. de Carvalho and A. Pozo, "The control of dominance area in particle swarm optimization algorithms for many-objective problems," in Proc. 2010 11th Brazilian Symp. Neural Netw. (SBRN), Sao Paulo, Brazil, pp. 140-145.
    • Proc. 2010 11th Brazilian Symp. Neural Netw. (SBRN) , pp. 140-145
    • De Carvalho, A.B.1    Pozo, A.2
  • 26
    • 0036715683 scopus 로고    scopus 로고
    • Combining convergence and diversity in evolutionary multiobjective optimization
    • M. Laumanns, L. Thiele, K. Deb, and E. Zitzler, "Combining convergence and diversity in evolutionary multiobjective optimization," Evol. Comput., vol. 10, no. 3, pp. 263-282, 2002.
    • (2002) Evol. Comput. , vol.10 , Issue.3 , pp. 263-282
    • Laumanns, M.1    Thiele, L.2    Deb, K.3    Zitzler, E.4
  • 27
  • 28
    • 35248871555 scopus 로고    scopus 로고
    • Conflict, harmony, and independence: Relationships in evolutionary multi-criterion optimisation
    • Berlin, Germany: Springer
    • R. C. Purshouse and P. J. Fleming, "Conflict, harmony, and independence: Relationships in evolutionary multi-criterion optimisation," in Evolutionary Multi-Criterion Optimization. Berlin, Germany: Springer, 2003, pp. 16-30.
    • (2003) Evolutionary Multi-Criterion Optimization. , pp. 16-30
    • Purshouse, R.C.1    Fleming, P.J.2
  • 29
    • 36549051604 scopus 로고    scopus 로고
    • On the evolutionary optimization of many conflicting objectives
    • Dec
    • R. C. Purshouse and P. J. Fleming, "On the evolutionary optimization of many conflicting objectives," IEEE Trans. Evol. Comput., vol. 11, no. 6, pp. 770-784, Dec. 2007.
    • (2007) IEEE Trans. Evol. Comput. , vol.11 , Issue.6 , pp. 770-784
    • Purshouse, R.C.1    Fleming, P.J.2
  • 30
    • 33750232921 scopus 로고    scopus 로고
    • On finding Pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems
    • Kanpur, India, KanGAL Rep. 2005011
    • K. Deb and D. K. Saxena, "On finding Pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems," Kanpur Genet. Algorithms Lab., Indian Inst. Technol. Kanpur, Kanpur, India, KanGAL Rep. 2005011, 2005.
    • (2005) Kanpur Genet. Algorithms Lab., Indian Inst. Technol. Kanpur
    • Deb, K.1    Saxena, D.K.2
  • 31
    • 34548108555 scopus 로고    scopus 로고
    • MOEA/D: A multiobjective evolutionary algorithm based on decomposition
    • Dec
    • Q. Zhang and H. Li, "MOEA/D: A multiobjective evolutionary algorithm based on decomposition," IEEE Trans. Evol. Comput., vol. 11, no. 6, pp. 712-731, Dec. 2007.
    • (2007) IEEE Trans. Evol. Comput. , vol.11 , Issue.6 , pp. 712-731
    • Zhang, Q.1    Li, H.2
  • 32
    • 79961027662 scopus 로고    scopus 로고
    • A Pareto corner search evolutionary algorithm and dimensionality reduction in many-objective optimization problems
    • Aug
    • H. K. Singh, A. Isaacs, and T. Ray, "A Pareto corner search evolutionary algorithm and dimensionality reduction in many-objective optimization problems," IEEE Trans. Evol. Comput., vol. 15, no. 4, pp. 539-556, Aug. 2011.
    • (2011) IEEE Trans. Evol. Comput. , vol.15 , Issue.4 , pp. 539-556
    • Singh, H.K.1    Isaacs, A.2    Ray, T.3
  • 33
    • 66549111544 scopus 로고    scopus 로고
    • Objective reduction in evolutionary multiobjective optimization: Theory and applications
    • D. Brockhoff and E. Zitzler, "Objective reduction in evolutionary multiobjective optimization: Theory and applications," Evol. Comput., vol. 17, no. 2, pp. 135-166, 2009.
    • (2009) Evol. Comput. , vol.17 , Issue.2 , pp. 135-166
    • Brockhoff, D.1    Zitzler, E.2
  • 34
    • 78650161125 scopus 로고    scopus 로고
    • Examination of the performance of objective reduction using correlation-based weighted-sum for many objective knapsack problems
    • T. Murata and A. Taki, "Examination of the performance of objective reduction using correlation-based weighted-sum for many objective knapsack problems," in Proc. 2010 10th Int. Conf. Hybrid Intell. Syst. (HIS), pp. 175-180.
    • Proc. 2010 10th Int. Conf. Hybrid Intell. Syst. (HIS) , pp. 175-180
    • Murata, T.1    Taki, A.2
  • 36
    • 84869389860 scopus 로고    scopus 로고
    • Using objective reduction and interactive procedure to handle many-objective optimization problems
    • Jan
    • A. Sinha, D. K. Saxena, K. Deb, and A. Tiwari, "Using objective reduction and interactive procedure to handle many-objective optimization problems," Appl. Soft Comput., vol. 13, no. 1, pp. 415-427, Jan. 2013.
    • (2013) Appl. Soft Comput. , vol.13 , Issue.1 , pp. 415-427
    • Sinha, A.1    Saxena, D.K.2    Deb, K.3    Tiwari, A.4
  • 37
    • 24344460395 scopus 로고    scopus 로고
    • DEMO: Differential evolution for multiobjective optimization
    • Berlin, Germany: Springer
    • T. Robić and B. Filipić, "DEMO: Differential evolution for multiobjective optimization," in Evolutionary Multi-Criterion Optimization. Berlin, Germany: Springer, 2005, pp. 520-533.
    • (2005) Evolutionary Multi-Criterion Optimization. , pp. 520-533
    • Robić, T.1    Filipić, B.2
  • 38
    • 84866876586 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithms in aeronautical and aerospace engineering
    • Oct
    • A. Arias-Montano, C. A. C. Coello, and E. Mezura Montes, "Multiobjective evolutionary algorithms in aeronautical and aerospace engineering," IEEE Trans. Evol. Comput., vol. 16, no. 5, pp. 662-694, Oct. 2012.
    • (2012) IEEE Trans. Evol. Comput. , vol.16 , Issue.5 , pp. 662-694
    • Arias-Montano, A.1    Coello, C.A.C.2    Mezura Montes, E.3
  • 41
    • 0024766052 scopus 로고
    • On the average number of maxima in a set of vectors
    • C. Buchta, "On the average number of maxima in a set of vectors," Inf. Process. Lett., vol. 33, no. 2, pp. 63-65, 1989.
    • (1989) Inf. Process. Lett. , vol.33 , Issue.2 , pp. 63-65
    • Buchta, C.1
  • 42
    • 0142000477 scopus 로고    scopus 로고
    • Differential evolution-A simple and efficient heuristic for global optimization over continuous spaces
    • R. Storn and K. Price, "Differential evolution-A simple and efficient heuristic for global optimization over continuous spaces," J. Global Optim., vol. 11, no. 4, pp. 341-359, 1997.
    • (1997) J. Global Optim. , vol.11 , Issue.4 , pp. 341-359
    • Storn, R.1    Price, K.2
  • 44
    • 0037936618 scopus 로고    scopus 로고
    • Performance assessment of multiobjective optimizers: An analysis and review
    • Apr
    • E. Zitzler, L. Thiele, M. Laumanns, C. M. Fonseca, and V. G. Da Fonseca, "Performance assessment of multiobjective optimizers: An analysis and review," IEEE Trans. Evol. Comput., vol. 7, no. 2, pp. 117-132, Apr. 2003.
    • (2003) IEEE Trans. Evol. Comput. , vol.7 , Issue.2 , pp. 117-132
    • Zitzler, E.1    Thiele, L.2    Laumanns, M.3    Fonseca, C.M.4    Da Fonseca, V.G.5
  • 45
    • 37249040048 scopus 로고    scopus 로고
    • The hypervolume indicator revisited: On the design of Pareto-compliant indicators via weighted integration
    • Berlin, Germany: Springer
    • E. Zitzler, D. Brockhoff, and L. Thiele, "The hypervolume indicator revisited: On the design of Pareto-compliant indicators via weighted integration," in Evolutionary Multi-Criterion Optimization. Berlin, Germany: Springer, 2007, pp. 862-876.
    • (2007) Evolutionary Multi-Criterion Optimization. , pp. 862-876
    • Zitzler, E.1    Brockhoff, D.2    Thiele, L.3
  • 46
    • 84881600978 scopus 로고    scopus 로고
    • Approximation quality of the hypervolume indicator
    • Feb
    • K. Bringmann and T. Friedrich, "Approximation quality of the hypervolume indicator," Artif. Intell., vol. 195, pp. 265-290, Feb. 2013.
    • (2013) Artif. Intell. , vol.195 , pp. 265-290
    • Bringmann, K.1    Friedrich, T.2
  • 48
    • 84881578960 scopus 로고    scopus 로고
    • MOMBI: A new metaheuristic for many-objective optimization based on the R2 indicator
    • R. Hernández Gómez and C. A. C. Coello, "MOMBI: A new metaheuristic for many-objective optimization based on the R2 indicator," in Proc. 2013 IEEE Conf. Evol. Comput., vol. 1. pp. 2488-2495.
    • Proc. 2013 IEEE Conf. Evol. Comput. , vol.1 , pp. 2488-2495
    • Hernández Gómez, R.1    Coello, C.A.C.2
  • 51
    • 0031235655 scopus 로고    scopus 로고
    • Multiobjective optimization design with Pareto genetic algorithm
    • F. Y. Cheng and D. Li, "Multiobjective optimization design with Pareto genetic algorithm," J. Struct. Eng., vol. 123, no. 9, pp. 1252-1261, 1997.
    • (1997) J. Struct. Eng. , vol.123 , Issue.9 , pp. 1252-1261
    • Cheng, F.Y.1    Li, D.2
  • 52
    • 0033208126 scopus 로고    scopus 로고
    • On improving multiobjective genetic algorithms for design optimization
    • S. Narayanan and S. Azarm, "On improving multiobjective genetic algorithms for design optimization," Struct. Optim., vol. 18, nos. 2-3, pp. 146-155, 1999.
    • (1999) Struct. Optim. , vol.18 , Issue.2-3 , pp. 146-155
    • Narayanan, S.1    Azarm, S.2
  • 53
    • 0033078584 scopus 로고    scopus 로고
    • Using the twobranch tournament genetic algorithm for multiobjective design
    • W. A. Crossley, A. M. Cook, and D. W. Fanjoy, "Using the twobranch tournament genetic algorithm for multiobjective design," AIAA J., vol. 37, no. 2, pp. 261-267, 1999.
    • (1999) AIAA J. , vol.37 , Issue.2 , pp. 261-267
    • Crossley, W.A.1    Cook, A.M.2    Fanjoy, D.W.3
  • 56
    • 0003383083 scopus 로고
    • Multicriteria design optimization by goal programming
    • London, U.K.: Chapman & Hall
    • E. Sandgren, "Multicriteria design optimization by goal programming," in Advances in Design Optimization. London, U.K.: Chapman & Hall, 1994, pp. 225-265.
    • (1994) Advances in Design Optimization. , pp. 225-265
    • Sandgren, E.1
  • 57
    • 84875528853 scopus 로고    scopus 로고
    • A grid-based evolutionary algorithm for many-objective optimization
    • Oct
    • S. Yang, M. Li, X. Liu, and J. Zheng, "A grid-based evolutionary algorithm for many-objective optimization," IEEE Trans. Evol. Comput., vol. 17, no. 5, pp. 721-736, Oct. 2013.
    • (2013) IEEE Trans. Evol. Comput. , vol.17 , Issue.5 , pp. 721-736
    • Yang, S.1    Li, M.2    Liu, X.3    Zheng, J.4
  • 59
    • 84893872670 scopus 로고    scopus 로고
    • A new multiobjective evolutionary algorithm for mining a reduced set of interesting positive and negative quantitative association rules
    • Feb
    • D. Martin, A. Rosete, J. Alcala-Fdez, and F. Herrera, "A new multiobjective evolutionary algorithm for mining a reduced set of interesting positive and negative quantitative association rules," IEEE Trans. Evol. Comput., vol. 18, no. 1, pp. 54-69, Feb. 2014.
    • (2014) IEEE Trans. Evol. Comput. , vol.18 , Issue.1 , pp. 54-69
    • Martin, D.1    Rosete, A.2    Alcala-Fdez, J.3    Herrera, F.4
  • 60
    • 84905581607 scopus 로고    scopus 로고
    • An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part I: Solving problems with box constraints
    • Aug
    • K. Deb and H. Jain, "An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part I: Solving problems with box constraints," IEEE Trans. Evol. Comput., vol. 18, no. 4, pp. 577-601, Aug. 2014.
    • (2014) IEEE Trans. Evol. Comput. , vol.18 , Issue.4 , pp. 577-601
    • Deb, K.1    Jain, H.2
  • 61
    • 84905579836 scopus 로고    scopus 로고
    • An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part II: Handling constraints and extending to an adaptive approach
    • Aug
    • H. Jain and K. Deb, "An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part II: Handling constraints and extending to an adaptive approach," IEEE Trans. Evol. Comput., vol. 18, no. 4, pp. 602-622, Aug. 2014.
    • (2014) IEEE Trans. Evol. Comput. , vol.18 , Issue.4 , pp. 602-622
    • Jain, H.1    Deb, K.2
  • 62
    • 84897494865 scopus 로고    scopus 로고
    • Fuzzy-based Pareto optimality for many-objective evolutionary algorithms
    • Apr
    • Z. He, G. G. Yen, and J. Zhang, "Fuzzy-based Pareto optimality for many-objective evolutionary algorithms," IEEE Trans. Evol. Comput., vol. 18, no. 2, pp. 269-285, Apr. 2014.
    • (2014) IEEE Trans. Evol. Comput. , vol.18 , Issue.2 , pp. 269-285
    • He, Z.1    Yen, G.G.2    Zhang, J.3
  • 63
    • 84905560865 scopus 로고    scopus 로고
    • Multiobjective estimation of distribution algorithm based on joint modeling of objectives and variables
    • Aug
    • H. Karshenas, R. Santana, C. Bielza, and P. Larrañaga Múgica, "Multiobjective estimation of distribution algorithm based on joint modeling of objectives and variables," IEEE Trans. Evol. Comput., vol. 18, no. 4, pp. 519-542, Aug. 2014.
    • (2014) IEEE Trans. Evol. Comput. , vol.18 , Issue.4 , pp. 519-542
    • Karshenas, H.1    Santana, R.2    Bielza, C.3    Larrañaga Múgica, P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.