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Goal Programming Methods for Constructing Additive Consistency Fuzzy Preference Relations

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4252))

Abstract

Decision makers may present their preferences over alternatives as fuzzy preference relations. Usually, there exist inconsistencies in the preference relation given by decision makers. In this paper, we propose methods based on goal programming to obtain fuzzy preference relations that satisfy additive consistency from the subjective preference relations given by decision makers.

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References

  1. Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems 97, 33–48 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  2. Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets and Systems 122, 277–291 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Chiclana, F., Herrera, F., Herrera-Viedma, F.E.: Reciprocity and consistency of fuzzy preference relations. In: De Baets, B., Fodor, J. (eds.) Principles of Fuzzy Preference Modelling and Decision Making, pp. 123–142. Academia Press (2003)

    Google Scholar 

  4. Chiclana, F., Herrera, F., Herrera-Viedma, F.E.: Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making. Kybernetika 40, 121–142 (2004)

    MathSciNet  Google Scholar 

  5. Cogger, K.O., Yu, P.L.: Eigenweight vectors and least-distance approximation for revealed preference in pairwise weight ratios. Journal of Optimization Theory and Application 46, 483–491 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  6. Crawford, G., Williams, C.: A note on the analysis of subjective judgement matrices. Journal of Mathematical Psychology 29, 387–405 (1985)

    Article  MATH  Google Scholar 

  7. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Application. Academic Press, New York (1980)

    Google Scholar 

  8. Fan, Z.-P., Xial, S.-H., Hu, G.-F.: An optimization method for integrating two kinds of preference information in group decision-making. Computers & Industrial Engtineering 46, 329–335 (2004)

    Article  Google Scholar 

  9. Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A sequential selection process in group decision-making with linguistic assessment. Information Sciences 85, 223–239 (1995)

    Article  MATH  Google Scholar 

  10. Herrera, F., Martinez, L., Sanchez, P.J.: Managing non-homogeneous information in group decision making. European Journal of Operational Research 166, 115–132 (2005)

    Article  MATH  Google Scholar 

  11. Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issues on consistency of fuzzy preference relations. European Journal of Operational Research 154, 98–109 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Jensen, R.E.: An alternative scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 28, 317–332 (1984)

    Article  Google Scholar 

  13. Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems 18, 105–118 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  14. Kacprzyk, J., Roubens, M.: Non-Conventional Preference Relations in Decision-Making. Springer, Berlin (1988)

    MATH  Google Scholar 

  15. Lee, H.-S.: Optimal consensus of fuzzy opinions under group decision making environment. Fuzzy Sets and Systems 132(3), 303–315 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  16. Lee, H.-S.: On fuzzy preference relation in group decision making. International Journal of Computer Mathematics 82(2), 133–140 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  17. Lee, H.-S.: A Fuzzy Method for Measuring Efficiency Under Fuzzy Environment. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds.) KES 2005. LNCS (LNAI), vol. 3682, pp. 343–349. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  18. Lee, H.-S.: A Fuzzy Multi-criteria Decision Making Model for the Selection of the Distribution Center. In: Wang, L., Chen, K., Ong, Y.S. (eds.) ICNC 2005. LNCS, vol. 3612, pp. 1290–1299. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  19. Luce, R.D., Suppes, P.: Preference utility and subject probability. In: Luce, R.D., et al. (eds.) Handbook of Mathematical Psychology, vol. III, pp. 249–410. Wiley, New York (1965)

    Google Scholar 

  20. Orlovvsky, S.A.: Decision making with a fuzzy preference relation. Fuzzy Sets and Systems 1, 155–167 (1978)

    Article  MathSciNet  Google Scholar 

  21. Roubens, M.: Some properties of choice functions based on valued binary relations. European Journal of Operational Research 40, 309–321 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  22. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)

    MATH  Google Scholar 

  23. Tanino, T.: Fuzzy preference orderings in group decision-making. Fuzzy Sets and Systems 12, 117–131 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  24. Xu, Z.S.: Generalized chi square method for the estimation of weights. Journal of Optimization Theory and Applications 107, 183–192 (2002)

    Google Scholar 

  25. Xu, Z.S.: Two methods for ranking alternatives in group decision-making with different preference information. Information: An International Journal 6, 389–394 (2003)

    Google Scholar 

  26. Xu, Z.S., Da, Q.L.: An approach to improving consistency of fuzzy preference matrix. Fuzzy Optimization and Decision Making 2, 3–12 (2003)

    Article  MathSciNet  Google Scholar 

  27. Zimmermann, H.J.: Fuzzy Set Theory and Its Applications. Kluwer, Dordrecht (1991)

    MATH  Google Scholar 

  28. Zhang, Q., Chen, J.C.H., He, Y.-Q., Ma, J., Zhou, D.-N.: Multiple attribute decision making: approach integrating subjective and objective information. International Journal of Manufacturing Technology and Management 5(4), 338–361 (2003)

    Article  Google Scholar 

  29. Zhang, Q., Chen, J.C.H., Chong, P.P.: Decision consolidation: criteria weight determination using multiple preference formats. Decision Support Systems 38, 247–258 (2004)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Shipping and Transportation Management, National Taiwan Ocean University,  

    Hsuan-Shih Lee

  2. Department of Logistics Management,China College of Marine Technology and Commerce, Department of Shipping and Transportation Management, National Taiwan Ocean University,  

    Wei-Kuo Tseng

Authors
  1. Hsuan-Shih Lee
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  2. Wei-Kuo Tseng
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Editor information

Editors and Affiliations

  1. School of Design, Engineering and Computing, Bournemouth University, UK

    Bogdan Gabrys

  2. Centre for SMART Systems, School of Environment and Technology, University of Brighton, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. School of Electrical and Information Engineering, Knowledge Based Intelligent Engineering Systems Centre, University of South Australia, SA, 5095, Mawson Lakes, Australia

    Lakhmi C. Jain

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© 2006 Springer-Verlag Berlin Heidelberg

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Lee, HS., Tseng, WK. (2006). Goal Programming Methods for Constructing Additive Consistency Fuzzy Preference Relations. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2006. Lecture Notes in Computer Science(), vol 4252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893004_116

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  • DOI: https://doi.org/10.1007/11893004_116

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46537-9

  • Online ISBN: 978-3-540-46539-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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