R-Norm Entropy and R-Norm Divergence in Fuzzy Probability Spaces
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولSome More Noiseless Coding Theorem on Generalized R-Norm Entropy
A parametric mean length is defined as the quantity L R = R R−1 [ 1 − ∑N i=1 p β i D −ni( R−1 R ) ∑N j=1 p β j ] where R > 0 ( 1) , β > 0, pi > 0, ∑ pi = 1, i = 1, 2, . . . ,N. This being the mean length of code words. Lower and upper bounds for L R are derived in terms of R-norm information measure for the incomplete power distribution. AMS Subject classification. 94A15, 94A17, 94A24, 26D15.
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In the present paper we define the notion of fuzzy inner productand study the properties of the corresponding fuzzy norm. In particular, it isshown that the Cauchy-Schwarz inequality holds. Moreover, it is proved thatevery such fuzzy inner product space can be imbedded in a complete one andthat every subspace of a fuzzy Hilbert space has a complementary subspace.Finally, the notions of fuzzy bo...
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ژورنال
عنوان ژورنال: Entropy
سال: 2018
ISSN: 1099-4300
DOI: 10.3390/e20040272