S-APPROXIMATION SPACES: A FUZZY APPROACH

Authors

  • Ali Shakiba Department of Computer Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
  • MohammadReza Hooshmandasl Department of Computer Science, Yazd University, Yazd, Iran
  • Seyed Abolfazl Shahzadeh Fazeli Department of Computer Science, Yazd University, Yazd, Iran
Abstract:

In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and maximum rejection error, these spaces are interpreted in three-way decision systems by defining the corresponding positive, negative and boundary regions.

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Journal title

volume 14  issue 2

pages  127- 154

publication date 2017-04-29

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