Abstract
One way for convolving the two essential dimensions, statistic al and semantical, of the informativity of descriptions is outlined by present paper. In order to show the usefulness of taking into account the semantical dimension in addition to that statistical, the reported argumentation is developed by following a model in which informativ ty concerns diagnostic flows.
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References
Arigoni, A.O., ‘Mathematical development arising from semantical implication’, Fuzzy Sets and Systems, 4, (1980) 167–181.
Arigoni, A.O., ‘Generative-transformational grammar for description of formal properties’, Fuzzy Sets and Systems, 8, (1982) 311–322.
Arigoni, A.O., ‘Elementary in describing formal properties’, IFAC Int. Sym. on Fuzzy Information, Knowledge representation and Decision Analysis, Marseille, July (1983) Pergamon Press, 181–188.
Arigoni, A.O., ‘On the probability of fuzzy causes’, Statistica, 4, (1984 167–183.
Arigoni, A.O., ‘On the mathematical elicitation of membership function’, E.I.A.S.M., workshop on ‘The Membership function, Brussels(1984).
Arigoni, A.O., ‘Correctness of the semiotic transformation of information’, in R. Trappl, Cybernetics and Systems Researchs, Ed., Elsiever Sciences Publisher North-Holland, 1984) 15–20.
Arigoni, A.O., ‘Extending meaning-wise Shannon’s entropy’, ISIT 85, International Sym. on Information Theory, IEEE Information Theory Group, Brighton, England, June (1985).
Arigoni, A.O., ‘Interpretational ambiguity: a linguistic dimension of formal sentences’ (will appear in Ricerche di Linguistica Teorica e Appliaata).
Edwards, A.W.F., ‘Likelihood’ (Cambridge University Press, 1972).
Nathan, P.E.,‘Cues, Decisions, and Diagnosis’ (Accademic Press, N.Y., 1967).
Sandwell, E.J.,‘Heuristic search: concepts and methods’, in: N.V. Finaler and B. Maltzer (Eds.) Artificial Intelligence and Heuristic Programming (American Elsiever, New York, 81 100, 1971).
Shannon, C.E. ‘The mathematical theory of communication’, Bell Systems Technical Journal, July-October, (19W).
Zadeh, L.A., ‘Fuzzy Sets’, Information and Control, 8, June (1965) 338–352.
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© 1986 D. Reidel Publishing Company
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Arigoni, A.O. (1986). Convolution of Fuzzyness and Probability. In: Jones, A., Kaufmann, A., Zimmermann, HJ. (eds) Fuzzy Sets Theory and Applications. NATO ASI Series, vol 177. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4682-8_4
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DOI: https://doi.org/10.1007/978-94-009-4682-8_4
Publisher Name: Springer, Dordrecht
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