Entropies of vague information sources

Milan Mareš

Displaying similar documents to “Entropies of vague information sources”

Information Measure for Vague Symbols

Milan Mareš (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The structures of the fuzzy information theory are focused on the concept of fuzzy entropy, where the individual information of symbols is considered only implicitely. This paper aims to fill this gap and to study the concepts of fuzzy information. Special attention is paid to the typical fuzzy set theoretical paradigma of monotonicity of operations.

Entropy of $T$ -sums and $T$ -products of $L$ - $R$ fuzzy numbers

Anna Kolesárová, Doretta Vivona (2001)

Kybernetika

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In the paper the entropy of $L$ – $R$ fuzzy numbers is studied. It is shown that for a given norm function, the computation of the entropy of $L$ – $R$ fuzzy numbers reduces to using a simple formula which depends only on the spreads and shape functions of incoming numbers. In detail the entropy of $T_{M}$ –sums and $T_{M}$ –products of $L$ – $R$ fuzzy numbers is investigated. It is shown that the resulting entropy can be computed only by means of the entropy of incoming fuzzy numbers or by means of their parameters...

Fuzzy data in statistics

Milan Mareš (2007)

Kybernetika

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The development of effective methods of data processing belongs to important challenges of modern applied mathematics and theoretical information science. If the natural uncertainty of the data means their vagueness, then the theory of fuzzy quantities offers relatively strong tools for their treatment. These tools differ from the statistical methods and this difference is not only justifiable but also admissible. This relatively brief paper aims to summarize the main fuzzy approaches...