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논문검색

Soft Set Theoretic Approach for Dimensionality Reduction

초록

영어

A reduct is a subset of attributes that are jointly sufficient and individually necessary for preserving a particular property of a given information system. The existing reduct approaches under soft set theory are still based on Boolean-valued information system. However, in the real applications, the data usually contain non-Boolean values. In this paper, an alternative approach for attribute reduction in multi-valued information system under soft set theory is presented. Based on the notion of multi-soft sets and AND operation, attribute reduction can be defined. It is shown that the reducts obtained are equivalent with Pawlak’s rough reduction.

목차

Abstract
 1. Introduction
 2. Related Works
 3. Information Systems and Set Approximations
 4. Soft Set Theory
 5. Reduct in Information Systems using Soft Set Theory
  5.1 Multi-soft sets construction from multi-information systems
  5.2 AND and OR operations in multi-soft sets
  5.3 Attribute reduction
 6. Conclusion
 References

저자정보

  • Tutut Herawan Department of Mathematics Education Universitas Ahmad Dahlan, Yogyakarta, Indonesia
  • Rozaida Ghazali Faculty of Information Technology and Multimedia Universiti Tun Hussein Onn Malaysia, Johor, Malaysia
  • Mustafa Mat Deris Faculty of Information Technology and Multimedia Universiti Tun Hussein Onn Malaysia, Johor, Malaysia

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