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S-Approximation Spaces

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Algebraic Methods in General Rough Sets

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Abstract

In this paper, the concept of S-approximation spaces is surveyed at first and then, the combination of different S-approximation spaces with different decider mappings S is considered, i.e. combining S-approximation spaces G i = (U i, W i, T i, S i) for i = 1, …, k. Moreover, the problem of preserving the corresponding properties of the lower and upper approximation operators as well as the three regions of the 3WD in the combination of different S-approximation spaces is considered in the paper.

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Authors and Affiliations

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

    Ali Shakiba

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  1. Ali Shakiba
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Correspondence to Ali Shakiba .

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Editors and Affiliations

  1. Department of Pure Mathematics, University of Calcutta, Kolkata, India

    A. Mani

  2. Department of Informatics, University of Milano-Bicocca, Milano, Italy

    Gianpiero Cattaneo

  3. Fujian Normal University, College of Mathematics and Informatics, Fuzhou, China

    Ivo Düntsch

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Shakiba, A. (2018). S-Approximation Spaces. In: Mani, A., Cattaneo, G., Düntsch, I. (eds) Algebraic Methods in General Rough Sets. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01162-8_10

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