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Linguistic Evaluation Scales

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Linguistic Decision Making

Abstract

The complexity and uncertainty of objective thing and the fuzziness of human thought result in decision making with linguistic information in a wide variety of practical problems, such as personnel evaluation, military system performance evaluation, online auctions, supply chain management, venture capital, and medical diagnostics. In such problems, a realistic approach may be to use linguistic assessments instead of numerical values by means of linguistic variables, that is, variables whose values are not numbers but words or sentences in a natural or artificial language (Fan and Wang, 2003; 2004; Fan et al., 2002; Herrera and Herrera-Viedma, 2003; 2000a; 2000b; 1997; Herrera and Martínez, 2001a; 2001b; 2000a; 2000b; Herrera and Verdegay, 1993; Herrera et al., 2005; 2003; 2001a; 2001b; 2000; 1997; 1996a; 1996b; 1995; Herrera-Viedma, 2001; Herrera-Viedma and Peis, 2003; Herrera-Viedma et al., 2005; 2004; 2003; Wang and Chuu, 2004; Xu, 2010; 2009a; 2009b; 2009c; 2008; 2007a; 2007b; 2007c; 2007d; 2007e; 2006a; 2006b; 2006c; 2006d; 2006e; 2006f; 2006g; 2006h; 2006i; 2005a; 2005b; 2005c; 2005d; 2004a; 2004b; 2004c; 2004d; 2004e; 2004f; Xu and Da, 2003; 2002; Zadeh and Kacprzyk, 1999a; 1999b). This may arise for different reasons (Chen and Hwang, 1992): ① the information may be unquantifiable due to its nature; and ② the precise quantitative information may not be stated because either it is unavailable or the cost of its computation is too high and an “approximate value” may be tolerated. For example, when evaluating the “comfort” or “design” of a car, linguistic labels like “good”, “fair” and “poor” are usually used, and evaluating a car’s speed, linguistic labels like “very fast”, “fast” and “slow” can be used (Bordogna et al., 1997; Levrat et al., 1997).

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References

  • Bordogna G, Fedrizzi M, Passi G. 1997. A linguistic modeling of consensus in group decision making based on OWA operator. IEEE Transactions on Systems, Man, and Cybernetics, 27: 126–132.

    Google Scholar 

  • Carlsson C, Fullér R. 2000. Multi-objective linguistic optimization. Fuzzy Sets and Systems, 115: 5–10.

    Google Scholar 

  • Chen S J, Hwang C L. 1992. Fuzzy Multiple Attribute Decision Making: Methods and Applications. Berlin: Springer-Verlag.

    Google Scholar 

  • Cordón O, Herrera F, Zwir I. 2002. Linguistic modeling by hierarchical systems of linguistic rules. IEEE Transactions on Fuzzy Systems, 10: 2–20.

    Google Scholar 

  • Dai Y Q, Xu Z S, Da Q L. 2008. New evaluation scale of linguistic information and its application. Chinese Journal of Management Science, 16(2): 145–149.

    Google Scholar 

  • Fan Z P, Ma J, Zhang Q. 2002. An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets and Systems, 131: 101–106.

    Google Scholar 

  • Fan Z P, Wang X R. 2004. Approach to solve assignment problems with linguistic assessment information. Journal of Systems Engineering, 19(1): 14–19.

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Chiclana F. 2001a. Multiperson decision making based on multiplicative preference relations. European Journal of Operational Research, 129: 372–385.

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Chiclana F. 2003. A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems, 18: 689–707.

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Martínez L. 2000. A fusion approach for managing multigranularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114: 43–58.

    Google Scholar 

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

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Verdegay J L. 1996a. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78: 73–87.

    Google Scholar 

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

    Google Scholar 

  • Herrera F, Herrera-Viedma E, Verdegay J L. 1997. A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems, 88: 31–49.

    Google Scholar 

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

    Google Scholar 

  • Herrera F, Herrera-Viedma E. 2000a. Choice functions and mechanisms for linguistic preference relations. European Journal of Operational Research, 120: 144–161.

    Google Scholar 

  • Herrera F, Herrera-Viedma E. 2000b. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115: 67–82.

    Google Scholar 

  • Herrera F, Herrera-Viedma E. 2003. Linguistic preference modeling: foundation models and new trends. In: Proceedings of 4th International Workshop on Preferences and Decisions, Trento, Italy: 47–51.

    Google Scholar 

  • Herrera F, López E, Mendãna, et al. 2001b. A linguistic decision model for personnel management solved with a linguistic biobjective genetic algorithm. Fuzzy Sets and Systems, 118: 47–64.

    Google Scholar 

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

    Google Scholar 

  • Herrera F, Martínez L. 2000a. A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8: 746–752.

    Google Scholar 

  • Herrera F, Martínez L. 2000b. An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8: 539–562.

    Google Scholar 

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

    Google Scholar 

  • Herrera F, Martínez L. 2001b. 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, 31: 227–233.

    Google Scholar 

  • Herrera F, Verdegay J L. 1993. Linguistic assessments in group decision. In: Proceedings of the First European Congress on Fuzzy and Intelligent Technologies, Aachen: 941–948.

    Google Scholar 

  • Herrera-Viedma E, Cordon O, Luque M, et al. 2003. A model of fuzzy linguistic IRS based on multi-granular linguistic information. International Journal of Approximate Reasoning, 34: 221–239.

    Google Scholar 

  • Herrera-Viedma E, Herrera F, Martínez L, et al. 2004. Incorporating filtering techniques in a fuzzy linguistic multi-agent model for gathering of information on the web. Fuzzy Sets and Systems, 148: 61–83.

    Google Scholar 

  • Herrera-Viedma E, Martínez L, Mata F, et al. 2005. A consensus support systems model for group decision making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems, 13: 644–658.

    Google Scholar 

  • Herrera-Viedma E, Peis E. 2003. Evaluating the informative quality of documents in SGML format from judgments by means of fuzzy linguistic techniques based on computing with words. Information Processing and Management, 39: 233–249.

    Google Scholar 

  • Herrera-Viedma E. 2001. Modeling the retrieval process of an information retrieval system using an ordinal fuzzy linguistic approach. Journal of the American Society for Information Science and Technology, 52: 460–475.

    Google Scholar 

  • Levrat E, Voisin A, Bombardier S, et al. 1997. Subjective evaluation of car seat comfort with fuzzy set techniques. International Journal of Intelligent Systems, 12: 891–913.

    Google Scholar 

  • Martínez L, Liu J, Yang J B, et al. 2005. A multigranular hierarchical linguistic model for design evaluation based on safety and cost analysis. International Journal of Intelligent Systems, 20: 1161–1194.

    Google Scholar 

  • Saaty T L. 1980. The Analytic Hierarchy Process. New York: McGraw-Hill.

    Google Scholar 

  • Shu K, Liang Z H. 1990. The exponential scale method in AHP. Systems Engineering-Theory & Practice, 10(1): 6–8.

    Google Scholar 

  • Torra V. 1996. Negation functions based semantics for ordered linguistic labels. International Journal of Intelligent Systems, 11: 975–988.

    Google Scholar 

  • Torra V. 2001. Aggregation of linguistic labels when semantics is based on antonyms. International Journal of Intelligent Systems, 16: 513–524.

    Google Scholar 

  • Wang H, Ma D. 1993. Scale evaluation and new scale methods. Systems Engineering-Theory & Practice, 13(5): 24–26.

    Google Scholar 

  • Wang R C, Chuu S J. 2004. Group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a manufacturing system. European Journal of Operational Research, 154: 563–572.

    Google Scholar 

  • Wang X R, Fan Z P. 2003. Method for group decision making based on two-tuple linguistic information processing. Journal of Management Sciences in China, 6(5): 1–5.

    Google Scholar 

  • Xu Z S, Da Q L. 2002. Multi-attribute decision making based on fuzzy linguistic assess-ments. Journal of Southeast University, 32: 656–658.

    Google Scholar 

  • Xu Z S, Da Q L. 2003. Method based on fuzzy linguistic scale and fuzzy induced ordered weighted geometric averaging (FIOWGA) operator for decision making problems. Journal of Southeast University, 19: 88–91.

    Google Scholar 

  • Xu Z S. 2000. A simulation-based evaluation of several scales in the analytic hierarchy process. Systems Engineering-Theory & Practice, 20(7): 58–62.

    Google Scholar 

  • Xu Z S. 2004a. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Information Sciences, 168: 171–184.

    Google Scholar 

  • Xu Z S. 2004b. On method of multi-attribute group decision making under pure linguistic information. Control and Decision, 19(7): 778–781.

    Google Scholar 

  • Xu Z S. 2004c. Method based on fuzzy linguistic assessments and GIOWA operator in multi-attribute group decision making. Journal of Systems Science and Mathematical Sciences, 24: 218–224.

    Google Scholar 

  • Xu Z S. 2004d. Uncertain Multiple Attribute Decision Making: Methods and Applications. Beijing: Tsinghua University Press.

    Google Scholar 

  • Xu Z S. 2004e. EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12: 791–810.

    Google Scholar 

  • Xu Z S. 2004f. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences, 166: 19–30.

    Google Scholar 

  • Xu Z S. 2005a. An approach to pure linguistic multiple attribute decision making under uncertainty. International Journal of Information Technology and Decision Making, 4: 197–206.

    Google Scholar 

  • Xu Z S. 2005b. An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology and Decision Making, 4: 153–160.

    Google Scholar 

  • Xu Z S. 2005c. Deviation measures of linguistic preference relations in group decision making. Omega, 33: 249–254.

    Google Scholar 

  • Xu Z S. 2005d. Maximizing deviations procedure for multiple attribute decision making under linguistic environment. Lecture Series on Computer and Computational Sciences, 2: 150–154.

    Google Scholar 

  • Xu Z S. 2006a. A note on linguistic hybrid arithmetic averaging operator in group decision making with linguistic information. Group Decision and Negotiation, 15: 581–591.

    Google Scholar 

  • Xu Z S. 2006b. On generalized induced linguistic aggregation operators. International Journal of General Systems, 35: 17–28.

    Google Scholar 

  • Xu Z S. 2006c. Induced uncertain linguistic OWA operators applied to group decision making. Information Fusion, 7: 231–238.

    Google Scholar 

  • Xu Z S. 2006d. A direct approach to group decision making with uncertain additive linguistic preference relations. Fuzzy Optimization and Decision Making, 5: 23–35.

    Google Scholar 

  • Xu Z S. 2006e. An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations. Decision Support Systems, 41: 488–499.

    Google Scholar 

  • Xu Z S. 2006f. Goal programming models for multiple attribute decision making under linguistic setting. Journal of Management Sciences in China, 9: 9–17.

    Google Scholar 

  • Xu Z S. 2006g. Incomplete linguistic preference relations and their fusion. Information Fusion, 7: 331–337.

    Google Scholar 

  • Xu Z S. 2006h. A practical procedure for group decision making under incomplete multiplicative linguistic preference relations. Group Decision and Negotiation, 15: 593–604.

    Google Scholar 

  • Xu Z S. 2006i. Multiple attribute decision making based on different types of linguistic information. Journal of Southeast University, 22(1): 134–136.

    Google Scholar 

  • Xu Z S. 2007a. A method for multiple attribute decision making with incomplete weight information in linguistic setting. Knowledge-Based Systems, 20: 719–725.

    Google Scholar 

  • Xu Z S. 2007b. Linguistic aggregation operators: an overview. In: Bustince H, Herrera F, Montero J. eds. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Heidelberg: Springer. 163–181.

    Google Scholar 

  • Xu Z S. 2007c. A survey of preference relations. International Journal of General Systems, 36: 179–203.

    Google Scholar 

  • Xu Z S. 2007d. Dynamic linguistic preference relations and their use in multi-period decision making. In: International Conference on Management Science and Engineering. Proceedings of 2007 International Conference on Management Science and Engineering. Harbin, China, 345–350.

    Google Scholar 

  • Xu Z S. 2007e. An interactive procedure for linguistic multiple attribute decision making with incomplete weight information. Fuzzy Optimization and Decision Making, 6: 7–27.

    Google Scholar 

  • Xu Z S. 2008. Group decision making based on multiple types of linguistic preference relations. Information Sciences, 178: 452–467.

    Google Scholar 

  • Xu Z S. 2009a. Multi-period multi-attribute group decision making under linguistic assessments. International Journal of General Systems, 38: 823–850.

    Google Scholar 

  • Xu Z S. 2009b. Correlated linguistic information aggregation. International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17: 633–647.

    Google Scholar 

  • Xu Z S. 2009c. An interactive approach to multiple attribute group decision making with multigranular uncertain linguistic information. Group Decision and Negotiation, 18: 119–145.

    Google Scholar 

  • Xu Z S. 2010. Interactive group decision making procedure based on uncertain multiplicative linguistic preference relations. Journal of Systems Engineering and Electronics, 21: 408–415.

    Google Scholar 

  • Yager R R. 1992. Applications and extensions of OWA aggregations. International Journal of Man-Machine Studied, 37: 103–132.

    Google Scholar 

  • Yager R R. 1995. An approach to ordinal decision making. International Journal of Approximate Reasoning, 12: 237–261.

    Google Scholar 

  • Zadeh L A, Kacprzyk J, eds. 1999a. Computing with Words in Information/Intelligent Systems 1: Foundations. Heidelberg: Physica-Verlag.

    Google Scholar 

  • Zadeh L A, Kacprzyk J, eds. 1999b. Computing with Words in Information/Intelligent Systems 2: Applications. Heidelberg: Physica-Verlag.

    Google Scholar 

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Xu, Z. (2012). Linguistic Evaluation Scales. In: Linguistic Decision Making. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29440-2_1

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