Abstract
Concepts lexicalized in natural language are uncertain. Actually, there are cooperation between type-1 fuzzy sets (T-1 FSs) and the psychology of concepts for manipulating knowledge. Our approach shows that concepts can be equalized to interval type-2 fuzzy sets (IT-2 FSs) by using a Computing With Words (CWW) model. CWW is a theory that passes from computing with crisp values or measurements to CWW or concepts. This paper presents a comparative study between the Perceptual Reasoning (PR) and the Linguistic Weighted Average (LWA) and implements them using a mammography database. These two approaches are implemented in the CWW engine of a CWW model; they characterize linguistic uncertainties existing in concepts by using IT-2 FSs. The results obtained demonstrate that the PR approach give results similar to concepts in the code-book. This paper insists on the fact that concepts can be represented by IT-2 FSs in the psychology of concepts.
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References
Belohlavek, R., Klir, G.J.: Concepts and Fuzzy Logic. MIT Press, Cambridge (2011)
Murphy, G.: The Big Book of Concepts. MIT Press, Cambridge (2002)
Lackoff, G.: Hedges: A study in meaning criteria and the logic of fuzzy concepts. J. Philos. Logic 2, 458–508 (1972)
Sanchez, M.A., Castillo, O., Castro, J.R.: Information granule formation via the concept of uncertainty-based information with interval type-2 fuzzy sets representation and TakagiSugenoKang consequents optimized with Cuckoo search. Appl. Soft Comput. 27, 602–609 (2015)
Zadeh, L.A.: Fuzzy logic = computing with words. IEEE Trans. Fuzzy Syst. 4, 103–111 (1996)
Kacprzyk, J., Yager, R.R.: Linguistic summaries of data using fuzzy logic. Int. J. Gen. Syst. 30, 133–154 (2001)
Pedrycz, W., Ekel, P., Parreiras, R.: Fuzzy Multicriteria Decision-Making: Models, Methods and Applications. Wiley, Chichester (2010)
DuBois, D.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, Massachusetts (1997)
Herrera, F., Martinez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans. Fuzzy Syst. 8, 746–752 (2000)
Mendel, J.: Fuzzy sets for words: a new beginning. In: Proceedings of the IEEE International Conference on Fuzzy Systems, St. Louis, MO, p. 3742 (2003)
Mendel, J., Wu, H.: Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: part 1. IEEE Trans. Forw. Prob. Fuzzy Syst. 14, 781–792 (2006)
Liu, F., Mendel, J.: Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Trans. Fuzzy Syst. 16, 1503–1521 (2008)
Coupland, S., Mendel, J., Wu, D.: Enhanced interval approach for encoding words into interval type-2 fuzzy sets and convergence of the word FOUs. IEEE Int. Conf. Fuzzy Syst. (FUZZ), 1–8 (2010)
Cherif, S., Baklouti, N., Alimi, A.: CWW: the encoding part. In: 6th International Conference of Soft Computing and Pattern Recognition (SoCPaR), pp. 471–476 (2014)
Wu, D., Mendel, J.: The linguistic weighted average. In: 6th IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2006), pp. 3030–3037 (2006)
Baklouti, N., Alimi, A.: The geometric interval type-2 fuzzy logic approach in robotic mobile issue fuzzy systems, 2009. In: IEEE International Conference on FUZZ-IEEE 2009, pp. 1971–1976 (2009)
Wu, D., Mendel, J.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 15, 1145–1161 (2007)
Hong, W.-S., Chen, S.-J., Wang, L.-H., Chen, S.-M.: A new approach for fuzzy information retrieval based on weighted power-mean averaging operators. Comput. Math. Appl. 53, 1800–1819 (2007) (Pergamon Press)
Mendel, J., Wu, D.: Perceptual reasoning for perceptual computing. IEEE Trans. Fuzzy Syst. 16, 1550–1564 (2008)
Elter, M., Schulz-Wendtland, R., Wittenberg, T.: The prediction of breast cancer biopsy outcomes using two CAD approaches that both emphasize an intelligible decision process. Med. Phys. 34, 4164 (2007)
Dongrui, W., Mendel, J.M.: A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets. Inf. Sci. 179, 1169–1192 (2009) (Elsevier)
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The authors would like to acknowledge the financial support of this work by grants from General Direction of Scientific Research (DGRST), Tunisia, under the ARUB program.
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Cherif, S., Baklouti, N., Alimi, A.M., Snasel, V. (2016). A Type-2 Fuzzy Concepts Lexicalized Representation by Perceptual Reasoning and Linguistic Weighted Average: A Comparative Study. In: Abraham, A., Han, S., Al-Sharhan, S., Liu, H. (eds) Hybrid Intelligent Systems. HIS 2016. Advances in Intelligent Systems and Computing, vol 420. Springer, Cham. https://doi.org/10.1007/978-3-319-27221-4_7
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