DOI QR코드

DOI QR Code

Algorithmic approach for handling linguistic values

언어 값을 다루기 위한 알고리즘적인 접근법

  • Published : 2005.04.01

Abstract

We propose an algorithmic approach for handling linguistic values defined in the same linguistic variable. Using the proposed approach, we can explicitly capture the differences of individuals' subjectivity with respect to linguistic values defined in the same linguistic variable. The proposed approach can be employed as a useful tool for discovering hidden relationship among linguistic values defined in the same linguistic variable. Consequently, it provides a basis for improving the precision of knowledge acquisition in the development of fuzzy systems including fuzzy expert systems, fuzzy decision tree, fuzzy cognitive map, ok. In this paper, we apply the proposed approach to a collective linguistic assessment among multiple experts.

References

  1. A. Bagis, 'Determining fuzzy membership functions with Tabu search -an application to control', Fuzzy sets and systems, Vol. 139, pp. 209-225, 2003 https://doi.org/10.1016/S0165-0114(02)00502-X
  2. R. Biswas, 'An application of fuzzy sets in students' evaluation', Fuzzy sets and systems, Vol. 74, pp. 187-194, 1995 https://doi.org/10.1016/0165-0114(95)00063-Q
  3. J. J. Buckley & W. Siler, 'Fuzzy numbers for expert systems' : in M. M. Gupta and T. Yamakawa (Eds.), Fuzzy logic in knowledge-based systems, decision and control, Elsevier Science, pp. 153-172, 1988
  4. D. Chakraborty, 'Structural quantization of vagueness in linguistic expert opinions in an evaluation programme', Fuzzy Sets and Systems, Vol. 119, pp. 171-186, 2001 https://doi.org/10.1016/S0165-0114(99)00044-5
  5. J. R. Cole & K. A. Persichitte, 'Fuzzy cognitive mapping : Applications in education', Int. J. intelligent systems, Vol. 15, pp. 1-25, 2000 https://doi.org/10.1002/(SICI)1098-111X(200001)15:1<1::AID-INT1>3.0.CO;2-V
  6. D. Dubois & H. Prade, 'Fuzzy sets in approximate reasoning, part 1 : Inference with possibility distributions', Fuzzy sets and systems, Vol. 40, pp. 143-202, 1991 https://doi.org/10.1016/0165-0114(91)90050-Z
  7. B. Kosko, 'Fuzzy cognitive maps', Int. J. Man-machine studies, Vol. 24, pp. 65-75, 1986 https://doi.org/10.1016/S0020-7373(86)80040-2
  8. T. Marchant, 'The measurement of membership by comparisons', Fuzzy sets and systems, Vol. 148, pp. 157-177, 2004 https://doi.org/10.1016/j.fss.2004.03.013
  9. T. Marchant, 'The measurement of membership by subjective ratio estimation', Fuzzy sets and systems, Vol. 148, pp. 179-199, 2004 https://doi.org/10.1016/j.fss.2004.04.006
  10. X. Wang, B. Chen, G. Qian & F. Ye, 'On the optimization of fuzzy decision trees', Fuzzy sets and systems, Vol. 112, pp. 117-125, 2000 https://doi.org/10.1016/S0165-0114(97)00386-2
  11. D. A. Waterman, A guide to expert systems, (Addison-Wesley, 1986)
  12. Y. Yuan & M. J Shaw, 'Induction of fuzzy decision trees', Fuzzy sets and systems, Vol. 69, pp. 125-139, 1995 https://doi.org/10.1016/0165-0114(94)00229-Z
  13. L. A. Zadeh, 'Fuzzy sets', Inform. and control, Vol. 8, pp. 338-353, 1965 https://doi.org/10.1016/S0019-9958(65)90241-X
  14. L. A. Zadeh, 'The concept of a linguistic variable and its applications to approximation reasoning', Inf. Sci., Vol. 8, part I, pp. 199-249, 1975 https://doi.org/10.1016/0020-0255(75)90036-5
  15. L. A. Zadeh, 'The concept of a linguistic variable and its applications to approximation reasoning', Inf. Sci., Vol. 8, part II, pp. 301-357,1975 https://doi.org/10.1016/0020-0255(75)90046-8
  16. L. A. Zadeh, 'The concept of a linguisticvariable and its applications to approximation reasoning', Inf. Sci., Vol. 9, part III, pp. 43-80, 1975 https://doi.org/10.1016/0020-0255(75)90017-1
  17. L. A. Zadeh, 'Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic', Fuzzy sets and systems, Vol. 90, pp. 111-127, 1997 https://doi.org/10.1016/S0165-0114(97)00077-8
  18. H. J. Zimmermann & P. Zysno, 'Decisions and evaluations by hierarchical aggregation of information', Fuzzy sets and systems, Vol. 10, pp. 243-260, 1983 https://doi.org/10.1016/S0165-0114(83)80118-3