Interpretations of belief functions in the theory of rough sets
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Publication:1291560
DOI10.1016/S0020-0255(97)00076-5zbMath0923.04007OpenAlexW2018669023MaRDI QIDQ1291560
Publication date: 28 October 1999
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0020-0255(97)00076-5
belief functionsinterval algebrasnonequivalence relationsrough set algebrastheory of rough sets with finite universe
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Allocations of probability
- Perspectives on the theory and practice of belief functions
- Two views of the theory of rough sets in finite universes
- On the semantics of fuzzy logic
- ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
- Rough classification
- Rough sets
- HIERARCHICAL UNCERTAINTY METATHEORY BASED UPON MODAL LOGIC
- On modal logic interpretation of Dempster–Shafer theory of evidence
- A NON-NUMERIC APPROACH TO UNCERTAIN REASONING
- Upper and Lower Probabilities Induced by a Multivalued Mapping
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