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Tytuł artykułu

Fuzzy certainty on fuzzy values

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Języki publikacji
EN
Abstrakty
EN
Imprecision and uncertainty appear together in many applications of soft computing. Imprecise and uncertain values are usually expressed by means of linguistic terms, specially when they have been provided by or for a human being. However, in many applications it is desirable that both aspects are combined into a single value that appropriately describes the intended information. In this work, we extend our previous research on this topic and we study how to combine imprecision and uncertainty when both of them are expressed by fuzzy numbers and the final goal is to obtain a normalized fuzzy value that provides the same amount of information about the described fact.
Rocznik
Strony
311--339
Opis fizyczny
Bibliogr. 22 poz.
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autor
autor
autor
autor
Bibliografia
  • BORDOGNA, G. and PASI, G. (2000) Modeling Linguistic Qualifiers of Uncertainty in a Fuzzy Database. Int. Journ. of Intelligent Systems 15, 995-1014.
  • BOUCHON-MEUNIER, B., DUBOIS, D., GODO, L. and PRADE, H. (1999) Fuzzy sets and possibility theory. In: J.C. Bezdek, D. Dubois, H. Prade, eds., Fuzzy Sets in Approximate Reasoning and Information Systems. Kluwer Academic Publishers, 15-190.
  • COLANGELI, L. et al. (2004) The GIADA Experiment for the Rosetta Mission. In: L. Colangeli, E. Mazzotta-Epifani and P. Palumbo, eds., The new Rosetta Targets. Observations, Simulations and Instrument Performances. Astrophysics and Space Sciences Library, 311, 271-280.
  • DELGADO, M., VERDEGAY, J.L. and VILA, M.A. (1990) On Valuation and Optimization Problems in Fuzzy Graphs: A General Approach and Some Particular Cases. ORSA Journal on Computing 2, 74-83.
  • DELGADO, M., VILA, M.A. and VOXMAN W. (1998) On a Canonical Representation of Fuzzy Numbers. Fuzzy Sets and Systems 93, 125-135.
  • DUBOIS, D. (1983) Modelès mathématiques de l’imprecis et de l’incértain en vue d’applications aux techniques d’aide à la décision. Ph.D Thesis. Université Scientifique et Médicale de Grenoble.
  • DUBOIS, D. and PRADE, H. (1985) Possibility Theory. Plenum Press.
  • DUBOIS, D. and PRADE, H. (1987) The Mean Value of a Fuzzy Number. Fuzzy Sets and Systems 24, 279-300.
  • DUBOIS, D., PRADE, H. and YAGER, R. (1999) Merging Fuzzy Information. In: J.C. Bezdek, D. Dubois, H. Prade, eds., Fuzzy Sets in Approximate Reasoning and Information Systems. Kluwer Academic Publishers, 335-401.
  • GONZALEZ, A. (1987) Métodos Subjetivos para la Comparación de Números Difusos. PhD Thesis. Granada University.
  • GONZALEZ, A., PONS O. and VILA, M.A. (1999) Dealing with uncertainty and imprecision by means of fuzzy numbers. Int. Journal of Approximate Reasoning 21, 233-256.
  • HUBER, P.J. (1973) The use of Choquet capacities in statistics. Bull. Internal. Statist. Inst. 45, 181-188.
  • KAMPÉ DE FERIÉT, J. (1974) La theorie generaliseé de l’information et la mesure subjective de l’information. In: Kampe de Feriet and C.F. Picard, eds., Lecture Notes in Math: Theories de l’information. Springer-Verlag, 398, 1-35.
  • LÓPEZ DE MÁNTARAS, R. (1990) Approximate Reasoning Models. Ellis Horwood series in Artificial Intelligence. John Wiley and Sons.
  • MUROFUSHI, T. and SUGENO, M. (1989) An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Fuzzy Sets and Systems 29, 201-227.
  • PONS, O., CUBERO, J.C., GONZALEZ A. and VILA, M.A. (2002) Uncertain Fuzzy Values Still in the Framework of First Order Logic. Int. J. Intell. Syst. 17 (9), 873-886.
  • SUÁREZ, GARCÍA F. and GIL, ALVAREZ (1986) Two families of fuzzy integrals. Fuzzy Sets Systems 18 (1), 67-81.
  • SUGENO, M. (1974) Theory of fuzzy integrals and its applications. Thesis. Tokyo Inst. of Technology.
  • YAGER, R.R. (1981) Measurement of Properties on Fuzzy Sets and Possibility Distributions. In: E.P. Klement, ed. Proc. 3rd Intern. Seminar on Fuzzy Set Theory. Johannes Kepler - University, Linz, 211-222.
  • YAGER, R.R. (1984) Approximate Reasoning as a Basis for Rule-Based Expert Systems. IEEE Trans, on Systems, Man and Cybernetics 14, 636-643.
  • ZADEH, L.A. (1973) Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Systems, Man and Cybernetics 3, 28-44.
  • ZADEH, L.A. (1978) Fuzzy Sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1, 3-28.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0040-0001
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