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.