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s-approximation space

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A note on belief structures and S-approximation spaces

Shakiba, Ali, Goharshady, Amir Kafshdar, Hooshmandasl, MohammadReza, Meybodi, Mohsen Alambardar

arXiv.org Artificial IntelligenceMay-27-2018

We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempster's multivalued mappings and lower and upper probabilities and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory. We also demonstrate that one can induce a natural belief structure on one set, given a belief structure on another set if those sets are related by a partial monotone S-approximation space.

artificial intelligence, fuzzy logic, s-approximation space, (17 more...)

arXiv.org Artificial Intelligence

1805.10672

Country:

Europe > Austria (0.05)
Asia > Middle East > Iran > Yazd Province > Yazd (0.04)

Genre: Research Report (0.40)

Technology: Information Technology > Artificial Intelligence > Representation & Reasoning > Uncertainty > Fuzzy Logic (0.53)

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