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Information Matrix

  • Chongfu Huang
  • Yong Shi
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 99)

Abstract

This chapter introduces a novel approach, called information matrix, to illustrate a given small-sample for its information structure. There are three kinds of information matrixes, respectively, on discrete universes of discourse, crisp intervals and fuzzy intervals. This chapter is organized as follows: in section 2.1, we briefly discuss small-sample problems. In section 2.2, we describe the concept of the information matrix. In this section, we also describe the information matrix on discrete universes of discourse. In section 2.3 and 2.4, we discuss the information matrixes, respectively, on crisp intervals and fuzzy intervals. In section 2.5, we analyze three kinds of information matrixes regarding them to grab the observation’s information. In section 2.6, we review other four approaches to describe or construct relationships in systems, and then, in section 2.7, we compare the approach of the information matrix with them.

Keywords

Membership Function Fuzzy Number Information Matrix Cartesian Space Fuzzy Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Chongfu Huang
    • 1
  • Yong Shi
    • 2
  1. 1.Institute of Resources ScienceBeijing Normal UniversityBeijingChina
  2. 2.College of Information Science and TechnologyUniversity of Nebraska at OmahaOmahaUSA

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