Multiset Estimates and Combinatorial Synthesis

  • Mark Sh. Levin
Part of the Decision Engineering book series (DECENGIN)


This chapter (Partially based on: Levin MS (2012) Multiset estimates and combinatorial synthesis. Electronic preprint, p 30, 9 May 2012, [cs.SY]) addresses new interval multiset estimates and their usage in combinatorial synthesis methods (hierarchical morphological design, multiple choice problem, knapsack problem). The definition of interval multiset estimates, operations over the estimates (integration, comparison, aggregation, alignment), and usage in combinatorial synthesis are described including many numerical examples for various types of the estimates, for the operations over the estimates, for synthesis of three-component and four components systems, for hierarchical synthesis of three-layer hierarchical system.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute for Information Transmission Problems (Kharkevich Institute)Russian Academy of SciencesMoscowRussia

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