The 2-tuple Linguistic Model: Computing with Words in by Luis Martínez, Rosa M. Rodriguez, Francisco Herrera

By Luis Martínez, Rosa M. Rodriguez, Francisco Herrera

This booklet examines one of many extra universal and regular methodologies to house uncertainty in real-world choice making difficulties, the computing with phrases paradigm, and the bushy linguistic method. The 2-tuple linguistic version is the preferred technique for computing with phrases (CWW), since it improves the accuracy of the linguistic computations and retains the interpretability of the consequences.

The authors supply a radical assessment of the really good literature in CWW and spotlight the speedy development and applicability of the 2-tuple linguistic version. They discover the rules and methodologies for CWW in advanced frameworks and extensions. The ebook introduces the software program FLINTSTONES that offers instruments for fixing linguistic choice difficulties in line with the 2-tuple linguistic model.

Professionals and researchers operating within the box of type or fuzzy units and structures will locate The 2-tuple Linguistic version: Computing with phrases in choice Making a useful source. Undergraduate and postdoctoral scholars learning desktop technology and statistics also will locate this publication an invaluable research guide.

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Extra resources for The 2-tuple Linguistic Model: Computing with Words in Decision Making

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31. N. Huynh and Y. Nakamori. A satisfactory-oriented approach to multiexpert decisionmaking with linguistic assessments. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 35(2):184–196, 2005. 32. J. Klir and B. Yuan. Fuzzy sets and fuzzy logic: Theory and Applications. Prentice-Hall PTR, 1995. 33. J. Lawry. An alternative approach to computing with words. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9 (Suppl):3–16, 2001. 34. J. Lawry. A methodology for computing with words.

Approximate Reasoning in Decision Analysis, North-Holland, 1982. 18 1 Linguistic Decision Making and Computing with Words 5. P. S. Decker. Selecting Uncertainty Calculi and Granularity: An Experiment in Trading-Off Precision and Complexity. H. F. , Uncertainty in Artificial Intelligence. North-Holland, 1986. 6. F. W. Kirkwood. Multiattribute preference analysis with performance targets. Operations Research, 52(6):823–835, 2004. 7. G. Bordogna and G. Pasi. A fuzzy linguistic approach generalizing boolean information retrieval: A model and its evaluation.

7 ([13]). sn ; ˛n /g be a set of 2-tuple linguistic values; the 2-tuple hybrid weighted arithmetic average (T2HWA) operator of n dimension n is a mapping T2HWA W S 7! i ˇi / where ! i D 1; n is the balancing coefficient. 5. Let’s suppose the previous set of 2-tuple linguistic values, the weighting vector for the arguments ! vl; :4// D More hybrid arithmetic averaging operators can be found in [13]. 2 Operators Based on Geometric Average The geometric average (GA) operator is a type of average that shows the typical value of a set of numbers by using the product of their values.

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