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Baldwin, J. F.; Pilsworth, B. W.

Axiomatic approach to implication for approximate reasoning with fuzzy logic. (English) Zbl 0434.03021

Fuzzy Sets Syst. 3, 193-219 (1980).
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Cited in 40 Documents

MSC:

03B52 Fuzzy logic; logic of vagueness

Keywords:

implication rules; modelling; approximate reasoning; fuzzy deduction
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\textit{J. F. Baldwin} and \textit{B. W. Pilsworth}, Fuzzy Sets Syst. 3, 193--219 (1980; Zbl 0434.03021)
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References:

[1] Baldwin, J. F., A new approach to approximate reasoning using a fuzzy logic, (Res. Rep. EM/FS3 (1978), Engineering Mathematics Dept., University of Bristol) · Zbl 0413.03017
[2] Baldwin, J. F., Fuzzy logic and approximate reasoning for mixed input arguments, (Res. Rep. EM/FS4 (1978), Engineering Mathematics Dept., University of Bristol) · Zbl 0413.03016
[3] Baldwin, J. F.; Guild, N. C.F., Feasible algorithms for approximate reasoning using fuzzy logic, (Res. Rep. EM/FS8 (1978), Engineering Mathematics Dept., University of Bristol) · Zbl 0435.03019
[4] Baldwin, J. F.; Pilsworth, B. W., A model of fuzzy reasoning through multi-valued logic and set theory, (Res. Rep. EM/FS6 (1978), Engineering Mathematics Dept., University of Bristol) · Zbl 0413.03015
[5] Baldwin, J. F.; Pilsworth, B. W., Axiomatic approach to implication for approximate reasoning using a fuzzy logic, (Research Report EM/FS9 (1971), Engineering Mathematics Dept., University of Bristol) · Zbl 0434.03021
[6] Gaines, B. R., Foundations of fuzzy reasoning, Int. J. Man-Machine Studies, 8, 623-668 (1976) · Zbl 0342.68056
[7] Gaines, B. R., Fuzzy reasoning and the logics of uncertainty, (Proc. 6th Int. Symp. on Multiple-Valued Logic. Proc. 6th Int. Symp. on Multiple-Valued Logic, Utah. Proc. 6th Int. Symp. on Multiple-Valued Logic. Proc. 6th Int. Symp. on Multiple-Valued Logic, Utah, IEEE76CH 1111-4C (1976)), 179-188
[8] Giles, R., Lukasiewicz logic and fuzzy set theory, Int. J. Man-Machine Studies, 8, 313-327 (1976) · Zbl 0335.02037
[9] Kaufmann, A., (Introduction to the Theory of Fuzzy Subsets, Vol. 1, Fundamental Theoretical Elements (1975), Academic Press: Academic Press New York) · Zbl 0332.02063
[10] Lee, R. C.T., Fuzzy logic and the resolution principle, J. Assoc. Comput. Mach., 19, 1, 109-119 (January 1972)
[11] Mamdani, E. H., Application of fuzzy algorithms for control of simple dynamic plant, (Proc. IEEE, 121 (December 1974)), 12 · Zbl 1009.03525
[12] Maydole, R. E., Paradoxes and many-valued set theory, J. Philos. Logic, 4, 269-291 (1975) · Zbl 0333.02045
[13] Negoita, C. V.; Ralescu, D. A., Applications of Fuzzy Sets to Systems Analysis, (Interdisciplinary Systems Research, Vol. 11 (1975), Birkhauser Verlag: Birkhauser Verlag Basel) · Zbl 0326.94002
[14] Rescher, N., Many-Valued Logic (1969), McGraw-Hill: McGraw-Hill New York · Zbl 0248.02023
[15] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (June 1965)
[16] Zadeh, L. A., Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Systems, Man and Cybernetics, SMC-3, 28-44 (January 1973)
[17] Zadeh, L. A., Calculus of fuzzy restrictions, (Zadeh, L. A.; etal., Fuzzy Sets and Their Applications to Cognitive and Decision Processes (1975), Academic Press: Academic Press New York), 1-39 · Zbl 0327.02018
[18] Zadeh, L. A., Fuzzy logic and approximate reasoning, Sythese, 30, 407-428 (1975) · Zbl 0319.02016
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