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Mathematical Morphology on Soft Sets for Application to Metabolic Networks

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Advanced Computational Methods for Knowledge Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 358))

Abstract

In this paper, we introduce mathematical morphological operators such as dilation and erosion on soft sets. Rather than the common approach which is based on expressing soft set analogues of the classical theory, we use the classical theory to morphologically analyse a soft set. The main goal of our study is to apply this morphological concepts to metabolic networks to derive an algebraic picture of chemical organizations. For this purpose we first introduce various types of complete lattices on soft sets which represent metabolic networks, then study morphological operations respect to corresponding lattice structure. We also give the concept of duality on soft sets.

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Author information

Authors and Affiliations

  1. Faculty of Science, Department of Mathematics, Mugla Sitki Kocman University, Mugla, 48000, Turkey

    Mehmet Ali Balcı & Ömer Akgüller

Authors
  1. Mehmet Ali Balcı
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  2. Ömer Akgüller
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Correspondence to Mehmet Ali Balcı .

Editor information

Editors and Affiliations

  1. LITA - UFR MIM, University of Lorraine – Metz, Metz, France

    Hoai An Le Thi

  2. Institute of Informatics & Wrocław University of Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

  3. Department of Networked Systems and Services, Budapest University of Technology and Economics, Budapest, Hungary

    Tien Van Do

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Balcı, M.A., Akgüller, Ö. (2015). Mathematical Morphology on Soft Sets for Application to Metabolic Networks. In: Le Thi, H., Nguyen, N., Do, T. (eds) Advanced Computational Methods for Knowledge Engineering. Advances in Intelligent Systems and Computing, vol 358. Springer, Cham. https://doi.org/10.1007/978-3-319-17996-4_19

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  • DOI: https://doi.org/10.1007/978-3-319-17996-4_19

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17995-7

  • Online ISBN: 978-3-319-17996-4

  • eBook Packages: EngineeringEngineering (R0)

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