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Possibility theory , nonadditive measures , fuzzy measure theory and fuzzy integrals are studied in the cited articles and treatises. Main results and references on formal fuzzy logic can be found in these citations. From Wikipedia, the free encyclopedia. For other uses, see Fuzzy math disambiguation. This article may be too technical for most readers to understand.

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Please help improve it to make it understandable to non-experts , without removing the technical details. September Learn how and when to remove this template message. Dordrecht, Kluwer. Studies in Fuzziness and Soft Computing, vol. S Fuzzy Commutative Algebra. World Scientific.

Advances in Fuzzy Systems - Applications and Theory, vol. Fuzzy Sets and Systems , 86, Fuzzy Sets and Systems , , Fuzzy Sets and Systems , , 84— Rosenfeld, A. In: Zadeh, L. Fuzzy Sets and Systems , 1, Plenum Press, New York. Introduction Fuzzy sets play a significant role in many deployed systems because of their capability to model non-statistical imprecision. Fuzzy Noiseless Coding Theorems Theorem 2. Thus equation 2.

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Which proves the theorem. Theorem 2. This proves the theorem.

Lemma 1: For all uniquely decipherable codes Proof of the Lemma. From equation 2. Pal, Some new information measures for fuzzy sets, Information Sciences ; Vol. Applied Intelligence ; Vol. Wiley Eastern Limited, New Delhi; Bell System Technical Journal ; Vol. In article. Email this article Alert me when cited Alert me if commented.

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