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Fuzzy power sets and fuzzy implication operators. (English) Zbl 0433.03013


MSC:

03B52 Fuzzy logic; logic of vagueness
03E72 Theory of fuzzy sets, etc.
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References:

[1] (Borkowski, L., Jan Łukasiewicz-Selected Works (1970), North-Holland: North-Holland Amsterdam), Polish Scientific Publishers, Warzawa · Zbl 0212.00902
[2] Curry, H. B., Foundations of Mathematical Logic (1963), McGraw-Hill: McGraw-Hill New York · Zbl 0163.24209
[3] Dienes, Z. P., On an implication function in many-valued systems of logic, Symbolic Logic, 14, 95-97 (1949) · Zbl 0037.00301
[4] Gaines, B. R., Foundations of fuzzy reasoning, Int. J. Man-Machine Studies, 8, 623-668 (1976) · Zbl 0342.68056
[5] Kleene, S. C., On a notation for ordinal numbers, The Journal of Symbolic Logic, 3, 150-155 (1938) · Zbl 0020.33803
[6] Łukasiewicz, J., O logice trójwartościowej, Ruch Filozoficzny, 5, 169-171 (1920), Translated as ‘On Three-Valued Logic’ in McCall [7, pp. 16-18] and in Borkowski [1, pp. 87-88]
[7] (McCall, S., Polish Logic 1920-1939 (1967), Clarendon Press: Clarendon Press Oxford)
[8] Rescher, N., Many-Valued Logic (1969), McGraw-Hill: McGraw-Hill New York · Zbl 0248.02023
[9] Willmott, R. C., Two fuzzier implication operators in the theory of fuzzy power sets, (Report No. FRP-2 (1978), Department of Mathematics, University of Essex: Department of Mathematics, University of Essex Colchester, CO4 3SQ, England) · Zbl 0433.03014
[10] Willmott, R. C., Mean measures in fuzzy power-set theory, (Report No. FRP-6 (1979), Department of Mathematics, University of Essex: Department of Mathematics, University of Essex Colchester, CO4 3SQ, England) · Zbl 0163.06001
[11] Zadeh, L. A., Similarity relations and fuzzy orderings, Inform. Sci., 3, 177-200 (1971) · Zbl 0218.02058
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