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  • Author: Vitaly I. Levin x
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Continuous Logic and Scheduling in Systems with Indeterminate Processing Times

Abstract

A general approach to the synthesis of an optimal order of executing jobs in engineering systems with indeterminate (interval) times of job processing is presented. As a mathematical model of the system, a two-stage pipeline is taken whose first and second stages are, respectively, the input of data and its processing, and the corresponding mathematical apparatus is continuous logic and logic determinants.

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Many-Valued Logic in the Jewish Short Stories

Abstract

Jewish short stories (parables, tales, jokes, etc.) are explained from the viewpoint of many-valued logic. On the basis of some examples, we show, how their contents may be logically interpreted.

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A Composition of Fuzzy Sets

Abstract

A new operation on fuzzy sets - the r-composition of n-sets - is introduced. The particular cases of this operation are logical conjunction (r = 1) or disjunction (r = n). In the general case (1 < r < n), this operation is purely fuzzy and has no analogs among the operations on fuzzy sets. The operation of r-composition is applied to the solution of control problems under uncertainty.

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Continuous-Logical Methods in Mathematical Economics

Abstract

An application of continuous logic for the mathematical description of economical systems is given. Parallel, sequential, parallel-sequential and sequentialparallel systems are calculated using continuous logic (CL) methods.

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