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A Multiobjective Algorithm Integrated of Compromise Programming and NISE Method

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Book cover Multiple Criteria Decision Making

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Abstract

The purpose of this paper is to present a new mechanism of multiobjective programming which integrates compromise programming and noninferior set estimation (NISE) methods. The paper begins by first discussing the limitations of the conventional NISE algorithm by Cohon (1978), and then discusses several extended models derived from conventional NISE algorithms including CONNISE and CONWEIGHT algorithms. Next, the new algorithm is expressed in its mathematical form and a numerical example is given to demonstrate its effectiveness (i.e. in controlling the allowable error) and efficiency (i.e. its rapid convergence). Suggestions for further research are also given.

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Reference

  1. Cohon, J. L., Multiobjective programming and planning. New York: Academic Press., 1978.

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  2. Cohon, J. L., R.L. Church, and D.P. Sheer, Generating multiobjective trade-offs: An algorithm for bicriterion problems. Water Resources Research 15 (5): 1001 - 1010, 1979.

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  4. Hsu George J.Y., and Chen Hsin-Der, A New Algorithm of Multiobjective Programming Integrating the Constraint and NISE Methods, Presented at the Vlllth International MCDM Conference, August 1988.

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  6. Hsu George J. Y., and Tzeng Yu-Zen, A New Concept for Non-inferior Set Estimation of Multiobjective Programming The CONWEIGHT Algorithm, Proceedings of the International Conference on Multiple criteria Decision Making, Applications in Industry and Service, Bangkok, Thailand, 1989, pp. 1039 - 1051.

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Author information

Authors and Affiliations

  1. Chung-Hua Institution for Economic Research, 75, Chang Hsing St., Taipei, Taiwan, R.O.C

    George J. Y. Hsu

  2. Energy Research Group and Institute of Traffic and Transportation, National Chiao Tung University, 4F, 114, Sec. 1, Chung Hsiao W. Rd., Taipei, Taiwan, R.O.C

    Gwo-Hshiung Tzeng

  3. Department of Tourism, Chinese Culture University, 55, Hwa Kong Rd., Yaming Shan, Taipei, Taiwan, R.O.C

    Sheng-Hshiung Tsaur

Authors
  1. George J. Y. Hsu
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  2. Gwo-Hshiung Tzeng
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  3. Sheng-Hshiung Tsaur
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Editor information

Editors and Affiliations

  1. Energy Research Group and Institute of Traffic and Transportation, National Chiao Tung University, Taipai, Taiwan Republic of China

    G. H. Tzeng

  2. Department of Industrial Engineering, National Tsing Hua University, Hsinchu, Taiwan Republic of China

    H. F. Wang  & U. P. Wen  & 

  3. School of Business, University of Kansas, 66045-2003, Lawrence, Kansas, USA

    P. L. Yu

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© 1994 Springer-Verlag New York, Inc.

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Hsu, G.J.Y., Tzeng, GH., Tsaur, SH. (1994). A Multiobjective Algorithm Integrated of Compromise Programming and NISE Method. In: Tzeng, G.H., Wang, H.F., Wen, U.P., Yu, P.L. (eds) Multiple Criteria Decision Making. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2666-6_7

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  • DOI: https://doi.org/10.1007/978-1-4612-2666-6_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7626-5

  • Online ISBN: 978-1-4612-2666-6

  • eBook Packages: Springer Book Archive

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