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Topological relations between bipolar fuzzy sets based on mathematical morphology

Abstract : In many domains of information processing, both vagueness, or imprecision, and bipolarity, encompassing positive and negative parts of information, are core features of the information to be modeled and processed. This led to the development of the concept of bipolar fuzzy sets, and of associated models and tools. Here we propose to extend these tools by defining set theoretical and topological relations between bipolar fuzzy sets, including intersection, inclusion, adjacency and RCC relations widely used in mereotopology, based on bipolar connectives and on mathematical morphology operators.
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https://hal.telecom-paris.fr/hal-02287550
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Submitted on : Friday, September 13, 2019 - 5:05:16 PM
Last modification on : Wednesday, October 27, 2021 - 6:50:54 AM

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  • HAL Id : hal-02287550, version 1

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Isabelle Bloch. Topological relations between bipolar fuzzy sets based on mathematical morphology. International Symposium on Mathematical Morphology (ISMM 2017), 2017, Fontainebleau, France. pp.40-51. ⟨hal-02287550⟩

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