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has been cited by the following article:

• TITLE: Monotonic Vector Space Model (Ⅰ): Concepts and Operations

  AUTHORS: Jianwen Hu

  KEYWORDS: Monotonic Vector Space; Operations; Partition; Synthesis; Screening; Sampling

  JOURNAL NAME: American Journal of Operations Research, Vol.4 No.1, January 23, 2014

  ABSTRACT: Monotonic vector space (MVS), as a novel model in which there exist some monotonic mappings, is proposed. MVS model is an abstract of many practical problems (such as image processing, system capability engineering, etc.) and includes many useful important operations. This paper, as the first one of series papers, discusses the MVS framework, relative important concepts and important operations including partition, synthesis, screening, sampling, etc. And algorithms for these operations are the focus of this paper. The application of these operations in system capability engineering will be dealt with in the second part of this series of papers.