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Alpha-bounds of fuzzy numbers.

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Publication:1425268
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DOI10.1016/S0020-0255(03)00054-9zbMath1040.03520MaRDI QIDQ1425268

Slavka Bodjanova

Publication date: 15 March 2004

Published in: Information Sciences (Search for Journal in Brave)


zbMATH Keywords

Fuzzy numbersRough setsApproximation of fuzzy numbersMeasures of fuzzinessRoughness of fuzzy numbers


Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)


Related Items (8)

Extended gradual interval (EGI) arithmetic and its application to gradual weighted averages ⋮ A decision-making computational methodology for a class of type-2 fuzzy intervals: an interval-based approach ⋮ MIN and MAX operators for trapezoidal fuzzy intervals ⋮ \(L\)-fuzzy numbers and their properties ⋮ Ranking of fuzzy numbers by a new metric ⋮ Generalisation of roughness bounds in rough set operations ⋮ Roughness bounds in rough set operations ⋮ Decompositions and representations of L-fuzzy natural numbers



Cites Work

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  • On a canonical representation of fuzzy numbers
  • A generalized \(\alpha\)-cut
  • Quantitative fuzzy semantics
  • Rough sets


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