S-APPROXIMATION SPACES: A FUZZY APPROACH

Document Type: Research Paper

Authors

1 Department of Computer Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

2 Department of Computer Science, Yazd University, Yazd, Iran

3 Department of Mathematics, 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.

Keywords


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