Representation models for aggregating linguistic information: issues and analysis

The linguistic information has been used successfully in many areas. The aggregation of linguistic information is a crucial aspect. In the literature we can find different linguistic computational models that present linguistic aggregation operators as: (i) The computational model based on the Extension Principle, which operates over the fuzzy numbers that supports the semantics of the linguistic labels. (ii) The symbolic one makes the computations directly over the order index of the linguistic labels. And, (iii) the model based on the linguistic 2-tuple representation, which uses the symbolic translation to make the linguistic computations.Depending upon the linguistic aggregation model, different results can be obtained. In this chapter we shall make a comparative analysis of the aggregation approaches according to the results obtained in a decision-making application.

[1]  G. A. Miller THE PSYCHOLOGICAL REVIEW THE MAGICAL NUMBER SEVEN, PLUS OR MINUS TWO: SOME LIMITS ON OUR CAPACITY FOR PROCESSING INFORMATION 1 , 1956 .

[2]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[3]  Shan-Huo Chen Ranking fuzzy numbers with maximizing set and minimizing set , 1985 .

[4]  Eric Levrat,et al.  Subjective evaluation of car seat comfort with fuzzy set techniques , 1997 .

[5]  K. Kim,et al.  Ranking fuzzy numbers with index of optimism , 1990 .

[6]  G. Bortolan,et al.  The problem of linguistic approximation in clinical decision making , 1988, Int. J. Approx. Reason..

[7]  Antonio González A study of the ranking function approach through mean values , 1990 .

[8]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[9]  Ronald R. Yager,et al.  On Weighted median Aggregation , 1994, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[10]  Francisco Herrera,et al.  A model of consensus in group decision making under linguistic assessments , 1996, Fuzzy Sets Syst..

[11]  Francisco Herrera,et al.  A linguistic decision model for personnel management solved with a linguistic biobjective genetic algorithm , 2001, Fuzzy Sets Syst..

[12]  Francisco Herrera,et al.  An Approach for Combining Linguistic and Numerical Information Based on the 2-Tuple Fuzzy Linguistic Representation Model in Decision-Making , 2000, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[13]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[14]  José L. Verdegay,et al.  On aggregation operations of linguistic labels , 1993, Int. J. Intell. Syst..

[15]  Marc Roubens,et al.  Fuzzy sets and decision analysis , 1997, Fuzzy Sets Syst..

[16]  J. Kacprzyk,et al.  Fuzzy regression analysis , 1992 .

[17]  Ronald R. Yager,et al.  An approach to ordinal decision making , 1995, Int. J. Approx. Reason..

[18]  Ronald R. Yager,et al.  Protocol for Negotiations among Multiple Intelligent Agents , 1997 .

[19]  Francisco Herrera,et al.  Consensus Based on Fuzzy Coincidence for Group Decision Making in Linguistic Setting , 1997 .

[20]  Francisco Herrera,et al.  Direct approach processes in group decision making using linguistic OWA operators , 1996, Fuzzy Sets Syst..

[21]  Piero P. Bonissone,et al.  Selecting Uncertainty Calculi and Granularity: An Experiment in Trading-off Precision and Complexity , 1985, UAI.

[22]  Gloria Bordogna,et al.  A linguistic modeling of consensus in group decision making based on OWA operators , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[23]  G. Pasi,et al.  A Fuzzy Linguistic Approach Generalizing Boolean Information Retrieval: a Model and its Evaluation , 1993 .

[24]  C. Pappis,et al.  A fuzzy-linguistic approach to a multi-criteria sequencing problem , 1996 .