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Linguistic Distribution Assessments with Interval Symbolic Proportions

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Proceedings of the Eighth International Conference on Management Science and Engineering Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 280))

Abstract

In linguistic distribution assessments, symbolic proportions are assigned to all the linguistic terms. As a natural generation, we propose the concept of distribution assessments with interval symbolic proportion in a linguistic term set, and then study the operational laws of linguistic distribution assessments with interval symbolic proportion. Then, the weighted averaging operator and the ordered weighted averaging operator for linguistic distribution assessments with interval symbolic proportion are presented. Finally, two examples are presented for demonstrating the applicability of the proposed approach for computing with words.

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References

  1. Bonissone PP, Decker KS (2013) Selecting uncertainty calculi and granularity: an experiment in trading-off precision and complexity. North-Holland, The Netherlands

    Google Scholar 

  2. Cabrerizo FJ, Perez IJ, Herrera-Viedma E (2010) Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowl-Based Syst 23:169–181

    Article  Google Scholar 

  3. Delgado M, Verdegay JL, Vila MA (1993) On aggregation operators of linguistic labels. Int J Intell Syst 8:351–370

    Article  Google Scholar 

  4. Dong YC, Zhang GQ et al (2013) Linguistic computational model based on 2-tuples and intervals. IEEE Trans Fuzzy Syst 21:1006–1018

    Article  Google Scholar 

  5. Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications. Academic, New York

    Google Scholar 

  6. Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6):746–752

    Article  Google Scholar 

  7. Herrera F, Martínez L (2001) A model based on linguistic 2-tuples for dealing with multi-granularity hierarchical linguistic contexts in multi-expert decision-making. IEEE Trans Syst Man Cybern 31(2):227–234

    Article  Google Scholar 

  8. Herrera F, Alonso S et al (2009) Computing with words in decision making: foundations, trends, and prospects. Fuzzy Optim Decis Making 8(4):337–364

    Article  Google Scholar 

  9. Ishibuchi H, Tanaka H (1990) Multi-objective programming in optimization of the interval objective function. Eur J Oper Res 48:219–225

    Article  Google Scholar 

  10. Lawry J (2001) An alternative approach to computing with words. Int J Uncertainty Fuzziness and Knowl Based Syst 9:3–16

    Article  Google Scholar 

  11. Martínez L, Herrera F (2012) An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges. Inf Sci 207:1–18

    Google Scholar 

  12. Martínez L, Ruan D, Herrera F (2010) Computing with words in decision support systems: an overview on models and applications. Int J Intell Syst 3(4):382–395

    Article  Google Scholar 

  13. Moore RE (1979) Method and application of interval analysis. SIAM, Philadelphia

    Book  Google Scholar 

  14. Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109–119

    Article  Google Scholar 

  15. Rodríguez RM, Martínez L, Herrera F (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf Sci 241(1):28–42

    Article  Google Scholar 

  16. Sengupta A, Pal TK (2000) On comparing interval numbers. Eur J Oper Res 127:28–43

    Article  Google Scholar 

  17. Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14(3):435–445

    Article  Google Scholar 

  18. Wang JH, Hao JY (2007) An approach to computing with words based on canonical characteristic values of linguistic labels. IEEE Trans Fuzzy Syst 15(4):593–604

    Article  Google Scholar 

  19. Wang YM, Yang JB et al (2006) The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees. Eur J Oper Res 175:35–66

    Article  Google Scholar 

  20. Xu ZS (2004) Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Inf Sci 168:171–184

    Article  Google Scholar 

  21. Zhang GQ, Dong YC, Xu YF (2014) Consistency and consensus measures for linguistic preference relations based on distribution assessments. Inf Fusion 17:46–55

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610064, People’s Republic of China

    Yuzhu Wu, Hengjie Zhang & Yucheng Dong

Authors
  1. Yuzhu Wu
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  2. Hengjie Zhang
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  3. Yucheng Dong
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Corresponding author

Correspondence to Yucheng Dong .

Editor information

Editors and Affiliations

  1. Business School, Sichuan University, Chengdu, China

    Jiuping Xu

  2. Depart de Enge Mecânica e Industrial, Faculdade de Ciências e Tecnologia - Universidade Nova de Lisboa (FCT/UNL), Caparica, Portugal

    Virgílio António Cruz-Machado

  3. LeBow College of Business Department of Decision Sciences, Drexel University, Philadelphia, Pennsylvania, USA

    Benjamin Lev

  4. Institute of Operations Research, Karlsruhe Institute ofTechnology (KIT), Karlsruhe, Germany

    Stefan Nickel

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© 2014 Springer-Verlag Berlin Heidelberg

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Wu, Y., Zhang, H., Dong, Y. (2014). Linguistic Distribution Assessments with Interval Symbolic Proportions. In: Xu, J., Cruz-Machado, V., Lev, B., Nickel, S. (eds) Proceedings of the Eighth International Conference on Management Science and Engineering Management. Advances in Intelligent Systems and Computing, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55182-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-55182-6_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55181-9

  • Online ISBN: 978-3-642-55182-6

  • eBook Packages: EngineeringEngineering (R0)

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