Abstract
In this note, we are interested in the evaluation of conditions of the form ‘The value of attribute a for Q items of X is in F’ or more shortly ‘Q items of X are F’, where X is a set of items, Q denotes a possibly vague proportion (which may be linguistically expressed, e.g. ‘most’), F is a (possibly fuzzy) subset of the attribute domain of a. and where the available knowledge about the value a(x) of the attribute a for any item x may be imprecise or even vague. The evaluation is based on a fuzzy pattern matching procedure repeated two times. Such conditions may be encountered in queries addressed to an incomplete information data base or in the ‘if-part’ of expert rules.
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References
Cayrol, M., Farreny, H. and Prade, H. (1980) Possibility and necessity in a pattern matching process, Proc. IXth. Inter. Cong. on Cybernetics, Namur, Belgium, pp. 53–65.
Cayrol, M., Farreny, H. and Prade, H. (1982) Fuzzy pattern matching, Kybernetes, 11, 103–116.
Dubois, D and Prade, H. (1983) Fuzzy set-theoretic differences and inclusions and their use in fuzzy arithmetics and analysis. Presented at the 5th Inter. Seminar on Fuzzy Set Theory, J. Kepler Univ., Linz (Austria), 5–9 Sept., 1983. In: Tech. Rep. ‘Ensembles Flous-83’, No 191 (L.S.I., Univ. P. Sabatier, Toulouse), pp. 107–129, April 1984.
Dubois, D. and Prade, H. (1985) Fuzzy cardinality and the modeling of imprecise quantification, Fuzzy Sets and Systems 16, 199–230.
Dubois, D. and Prade, H. (1988) (with the collaboration of H. Farreny, R. Martin-Clouaire, C. Testemale), Possibility Theory. An Approach to Computerized Processing of Uncertainty, Plenum Press, New York, 1988.
Dubois, D., Prade, H. and Testemale, C. (1988) Weighted fuzzy pattern matching, Fuzzy Sets and Systems 28(3), 313–331.
Farreny, H., Prade, H. and Wyss, E. (1986) Approximate reasoning in a rule-based expert system using possibility theory: a case study, Proc. 10th IFIP World Congress, Dublin, Sept. 1–5, 1986, Information Processing '86 (H. J. Kugler ed.), North-Holland, Amsterdam, pp. 407–413.
Prade, H. (1984) Lipski's approach to incomplete information data bases restated and generalized in the setting of Zadeh's possibility theory, Information Systems 9(1), 27–42.
Wyss, E. (1988) TAIGER, un générateur de systèmes experts adapté au traitement de données incertaines et imprécises, Thèse I.N.P., Université Paul Sabatier, Toulouse.
Yager, R.R. (1984) General multiple objective decision functions and linguistically quantified statements, Int. J. Man-Machine Studies 21, 389–400.
Zadeh, L.A. (1978) Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1(1), 3–28.
Zadeh, L.A. (1983) A computational approach to fuzzy quantifiers in natural languages, Computer and Mathematics with Applications 9(1), 149–184.
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Prade, H. A two-layer fuzzy pattern matching procedure for the evaluation of conditions involving vague quantifiers. J Intell Robot Syst 3, 93–101 (1990). https://doi.org/10.1007/BF00242158
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DOI: https://doi.org/10.1007/BF00242158