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Linguistic Decision Making pp 1–16Cite as

Introduction

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Abstract

In this chapter, we introduce the basic knowledge in computing with words (CWW). Subsequently, we conduct a literature review regarding linguistic symbolic computational models, and present a core problem in linguistic decision making that will be studied in the book.

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References

  1. Abchir, M. A., & Truck, I. (2013). Towards an extention of the 2-tuple linguistic model to deal with unbalanced linguistic term sets. Kybernetika, 49(1), 164–180.

    Google Scholar 

  2. Alcalá, R., Alcalá-Fdez, J., Herrera, F., & Otero, J. (2007). Genetic learning of accurate and compact fuzzy rule based systems based on the 2-tuples linguistic representation. International Journal of Approximate Reasoning, 44, 45–64.

    Article  Google Scholar 

  3. Alonso, S., Chiclana, F., Herrera, F., Herrera-Viedma, E., Alcalá-Fdez, J., & Porcel, C. (2008). A consistency-based procedure to estimate missing pairwise preference values. International Journal of Intelligence Systems, 23(2), 155–175.

    Article  Google Scholar 

  4. Alonso, S., Cabrerizo, F. J., Chiclana, F., Herrera, F., & Herrera-Viedma, E. (2009). Group decision-making with incomplete fuzzy linguistic preference relations. International Journal of Intelligence Systems, 24(2), 201–222.

    Article  Google Scholar 

  5. Anagnostopoulos, K., Doukas, H., & Psarras, J. (2008). A linguistic multicriteria analysis system combining fuzzy sets theory, ideal and anti-ideal points for location site selection. Expert Systems with Applications, 35(4), 2041–2048.

    Article  Google Scholar 

  6. Cabrerizo, F. J., Alonso, S., & Herrera-Viedma, E. (2009). A consensus model for group decision making problems with unbalanced fuzzy linguistic information. International Journal of Information Technology and Decision Making, 8(1), 109–131.

    Article  Google Scholar 

  7. Cabrerizo, F. J., Heradio, R., Pérez, I. J., & Herrera-Viedma, E. (2010). A selection process based on additive consistency to deal with incomplete fuzzy linguistic information. Journal of Universal Computer Science, 16, 62–81.

    Google Scholar 

  8. Cabrerizo, F. J., Pérez, I. J., & Herrera-Viedma, E. (2010). Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowledge-Based Systems, 23(2), 169–181.

    Article  Google Scholar 

  9. Cordón, O., Herrera, F., & Zwir, I. (2002). Linguistic modeling by hierarchical systems of linguistic rules. IEEE Transactions on Fuzzy Systems, 10(1), 2–20.

    Article  Google Scholar 

  10. Degani, R., & Bortolan, G. (1988). The problem of linguistic approximation in clinical decision making. International Journal of Approximate Reasoning, 2(2), 143–162.

    Article  Google Scholar 

  11. Delgado, M., Verdegay, J. L., & Vila, M. A. (1993). On aggregation operations of linguistic labels. International Journal of Intelligence Systems, 8(3), 351–370.

    Article  Google Scholar 

  12. Delgado, M., Vila, M. A., & Voxman, W. (1998). On a canonical representation of fuzzy numbers. Fuzzy Sets and Systems, 93(1), 125–135.

    Article  Google Scholar 

  13. Dong, Y. C., Xu, Y. F., & Yu, S. (2009). Linguistic multiperson decision making based on the use of multiple preference relations. Fuzzy Sets and Systems, 160(5), 603–623.

    Article  Google Scholar 

  14. Dong, Y. C., Xu, Y. F., Li, H. Y., & Feng, B. (2010). The OWA-based consensus operator under linguistic representation models using position indexes. European Journal of Operational Research, 203(2), 455–463.

    Article  Google Scholar 

  15. Dong, Y. C., Chen, X., & Herrera, F. (2015). Minimizing adjusted simple terms in the consensus reaching process with hesitant linguistic assessments in group decision making. Information Sciences, 297, 95–117.

    Article  Google Scholar 

  16. Dong, Y. C., Li, C. C., Xu, Y. F., & Gu, X. (2015). Consensus-based group decision making under multi-granular unbalanced 2-tuple linguistic preference relations. Group Decision and Negotiation, 24(2), 217–242.

    Article  Google Scholar 

  17. Dong, Y. C., Wu, Y. Z., Zhang, H. J., & Zhang, G. Q. (2015). Multi-granular unbalanced linguistic distribution assessments with interval symbolic proportions. Knowledge-Based Systems, 82, 139–151.

    Article  Google Scholar 

  18. Espinilla, M., Liu, J., & Martínez, L. (2011). An extended hierarchical linguistic model for decision-making problems. Computational Intelligence, 27(3), 489–512.

    Article  Google Scholar 

  19. Fan, Z. P., Feng, B., & Suo, W.L. (2009). A fuzzy linguistic method for evaluating collaboration satisfaction of NPD team using mutual-evaluation information. International Journal of Production Economics, 122(2), 547–557.

    Article  Google Scholar 

  20. Herrera, F., & Herrera-Viedma, E. (1997). Aggregation operators for linguistic weighted information. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, 27(5), 646–656.

    Article  Google Scholar 

  21. Herrera, F., & Martínez, L. (2000). A 2-tuple fuzzy linguistic representation model for computing with words. IIEEE Transactions on Fuzzy Systems, 8(6), 746–752.

    Article  Google Scholar 

  22. Herrera, F., & Martínez, L. (2001). The 2-tuple linguistic computational model: Advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9, 33–48.

    Article  Google Scholar 

  23. Herrera, F., & Martínez, L. (2001). A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics, 31(2), 227–234.

    Article  Google Scholar 

  24. Herrera, F., Herrera-Viedma, E., Verdegay, J. L. (1996). Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems, 79(2), 175–190.

    Article  Google Scholar 

  25. Herrera, F., Herrera-Viedma, E., & Martínez, L. (2000). A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114(1), 43–58.

    Article  Google Scholar 

  26. Herrera, F., Martínez, L., & Sánchez, P. J. (2005). Managing non-homogeneous information in group decision making. European Journal of Operational Research, 166(1), 115–132.

    Article  Google Scholar 

  27. Herrera, F., Herrera-Viedma, E., & Martínez, L. (2008). A fuzzy linguistic methodology to deal with unbalanced linguistic term sets. IEEE Transactions on Fuzzy Systems, 16(2), 354–370.

    Article  Google Scholar 

  28. Herrera, F., Alonso, S., Chiclana, F., & Herrera-Viedma, E. (2009). Computing with words in decision making: Foundations, trends and prospects. Fuzzy Optimization and Decision Making, 8(4), 337–364.

    Article  Google Scholar 

  29. Herrera-Viedma, E., & López-Herrera, A. G. (2007). A model of an information retrieval system with unbalanced fuzzy linguistic information. International Journal of Intelligence Systems, 22(11), 1197–1214.

    Article  Google Scholar 

  30. Herrera-Viedma, E., Martínez, L., Mata, F., & Chiclana, F. (2005). A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems, 13(5), 644–658.

    Article  Google Scholar 

  31. Klir, G. J., & Yuan, B. (1995). Fuzzy sets and fuzzy logic: Theory and applications. Upper Saddle River: Prentice-Hall PTR.

    Google Scholar 

  32. Lawry, J. (2001). An alternative approach to computing with words. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9, 3–16.

    Article  Google Scholar 

  33. Li, D. F. (2009). Multiattribute group decision making method using extended linguistic variables. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17(6), 793–806.

    Article  Google Scholar 

  34. Martin, O., & Klir, G. J. (2006). On the problem of retranslation in computing with perceptions. The International Journal of General Systems, 35(6), 655–674.

    Article  Google Scholar 

  35. Martínez, L. (2007). Sensory evaluation based on linguistic decision analysis. International Journal of Approximate Reasoning, 44(2), 148–164.

    Article  Google Scholar 

  36. Martínez, L., & Herrera, F. (2012). An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges. Information Sciences, 207, 1–18.

    Article  Google Scholar 

  37. Martínez, L., Liu, J., Ruan, D., & Yang, J. B. (2007). Dealing with heterogeneous information in engineering evaluation processes. Information Sciences, 177(7), 1533–1542.

    Article  Google Scholar 

  38. Martínez, L., Espinilla, M., & Pérez, L. G. (2008). A linguistic multigranular sensory evaluation model for olive oil. The International Journal of Computational Intelligence Systems, 1(2), 148–158.

    Article  Google Scholar 

  39. Martínez, L., Ruan, D., & Herrera, F. (2010). Computing with words in decision support systems: An overview on models and applications. The International Journal of Computational Intelligence Systems, 3(4), 382–395.

    Article  Google Scholar 

  40. Martínez, L., Rodríguez, R. M., & Herrera, F. (2015). The 2-tuple linguistic model: Computing with words in decision making. New York: Springer.

    Book  Google Scholar 

  41. Mendel, J. M. (2002). An architecture for making judgement using computing with words. International Journal of Applied Mathematics and Computer Science, 12(3), 325–335.

    Google Scholar 

  42. Mendel, J. M. (2007). Computing with words and its relationships with fuzzistics. Information Sciences, 177(4), 988–1006.

    Article  Google Scholar 

  43. Mendel, J. M., & Wu, H. W. (2006). Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 1, porward problems. IEEE Transactions on Fuzzy Systems, 14(6), 781–792.

    Article  Google Scholar 

  44. Mendel, J. M., & Wu, H. W. (2007). Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 2, inverse problems. IEEE Transactions on Fuzzy Systems, 15(2), 301–308.

    Article  Google Scholar 

  45. Mendel, J. M., & Wu, D. (2010). Perceptual computing: Aiding people in making subjective judgments. New Jersey: IEEE Press/Wiley.

    Book  Google Scholar 

  46. Porcel, C., López-Herrera, A. G., & Herrera-Viedma, E. (2009). A recommender system for research resources based on fuzzy linguistic modeling. Expert Systems with Applications, 36, 5173–5183.

    Article  Google Scholar 

  47. Rodríguez, R. M., Martínez, L., & Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems, 20(1), 109–119.

    Article  Google Scholar 

  48. Rodríguez, R. M., Bedregal, B., Bustince, H., Dong, Y. C., Farhadinia, B., Kahraman, C., Martínez, L., Torra, V., Xu, Y. J., Xu, Z. S., & Herrera, F. (2016). A position and perspective analysis of hesitant fuzzy sets on information fusion in decision making. Towards high quality progress. Information Fusion, 29, 89–97.

    Article  Google Scholar 

  49. Torra, V. (2001). Aggregation of linguistic labels when semantics is based on antonyms. International Journal of Intelligence Systems, 16(4), 513–524.

    Article  Google Scholar 

  50. Trillas, E. (2006). On the use of words and fuzzy sets. Information Sciences, 176(11), 1463–1487.

    Article  Google Scholar 

  51. Türkşen, I. B. (2002). Type 2 representation and reasoning for CWW. Fuzzy Sets and Systems, 127(1), 17–36.

    Article  Google Scholar 

  52. Türkşen, I. B. (2007). Meta-linguistic axioms as a foundation for computing with words. Information Sciences, 177(2), 332–359.

    Article  Google Scholar 

  53. Wang, J. H., & Hao, J. Y. (2006). A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 14(3), 435–445.

    Article  Google Scholar 

  54. Wang, J. H., & Hao, J. Y. (2007). Fuzzy linguistic PERT. IEEE Transactions on Fuzzy Systems, 15(2), 133–144.

    Article  Google Scholar 

  55. Wang, J. H., & Hao, J. Y. (2007). An approach to computing with words based on canonical characteristic values of linguistic labels. IEEE Transactions on Fuzzy Systems, 15(4), 593–604.

    Article  Google Scholar 

  56. Wu, D. (2014). A reconstruction decoder for computing with words. Information Sciences, 255, 1–15.

    Article  Google Scholar 

  57. Wu, Z. B., & Xu, J. P. (2016). Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega, 65, 28–40.

    Article  Google Scholar 

  58. Wu, Z. B., & Xu, J. P. (2016). Possibility distribution-based approach for MAGDM with hesitant fuzzy linguistic information. IEEE Transactions on Cybernetics, 46(3), 694–705.

    Article  Google Scholar 

  59. Wu, Z. B., Xu, J. P., & Xu, Z. S. (2016). A multiple attribute group decision making framework for the evaluation of lean practices at logistics distribution centers. Annals of Operations Research, 247, 735–757.

    Article  Google Scholar 

  60. Xu, Z. S. (2004). A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences, 166(1–4), 19–30.

    Article  Google Scholar 

  61. Xu, J. P., Wu, Z. B., & Zhang, Y. (2014). A consensus based method for multi-criteria group decision making under uncertain linguistic setting. Group Decision and Negotiation, 23(1), 127–148.

    Article  Google Scholar 

  62. Yager, R. (1981). A new methodology for ordinal multiobjective decisions based on fuzzy sets. Decision Sciences, 12(4), 589–600.

    Article  Google Scholar 

  63. Yager, R. R. (1993). Non-numeric multi-criteria multi-person decision making. Group Decision and Negotiation, 2(1), 81–93.

    Article  Google Scholar 

  64. Yager, R. R. (1995). An approach to ordinal decision making. International Journal of Approximate Reasoning, 12(3–4), 237–261.

    Article  Google Scholar 

  65. Yager, R. R. (2004). On the retranslation process in zadehs paradigm of computing with words. IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics, 34(2), 1184–1195.

    Article  Google Scholar 

  66. Zadeh, L. A. (1973). Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics, SMC-3(1), 28–44.

    Article  Google Scholar 

  67. Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Part I, Information Sciences, 8(3), 199–249.

    Article  Google Scholar 

  68. Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Part II, Information Sciences, 8(4), 301–357.

    Article  Google Scholar 

  69. Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Part III, Information Sciences, 9(1), 43–80.

    Article  Google Scholar 

  70. Zadeh, L. A. (1996). Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems, 4(2), 103–111.

    Article  Google Scholar 

  71. Zadeh, L. (1999). From computing with numbers to computing with words from manipulation of measurements to manipulation of perceptions. IEEE Transactions on Circuits and Systems, Part I: Fundamental Theory and Applications, 46(1), 105–119.

    Article  Google Scholar 

  72. Zhang, G. Q., Dong, Y. C., & Xu, Y. F. (2014). Consistency and consensus measures for linguistic preference relation based on distribution assessment. Information Fusion, 17, 46–55.

    Article  Google Scholar 

  73. Zhou, S. M., Chiclana, F., John, R. I., & Garibaldi, J. M. (2008). Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers. Fuzzy Sets and Systems, 159(24), 3281–3296.

    Article  Google Scholar 

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, Sichuan, China

    Yucheng Dong & Jiuping Xu

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  1. Yucheng Dong
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  2. Jiuping Xu
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Dong, Y., Xu, J. (2019). Introduction. In: Linguistic Decision Making. Springer, Singapore. https://doi.org/10.1007/978-981-13-2916-6_1

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  • DOI: https://doi.org/10.1007/978-981-13-2916-6_1

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