Trapezoidal approximations of fuzzy numbers
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Publication:1780573
DOI10.1016/j.fss.2004.02.015zbMath1067.03508OpenAlexW2091018455MaRDI QIDQ1780573
Przemysław Grzegorzewski, Edyta Mrówka
Publication date: 13 June 2005
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2004.02.015
Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)
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Cites Work
- Unnamed Item
- Unnamed Item
- A review of some methods for ranking fuzzy subsets
- The mean value of a fuzzy number
- A procedure for ordering fuzzy subsets of the unit interval
- The expected value of a fuzzy number
- On a canonical representation of fuzzy numbers
- Metrics and orders in space of fuzzy numbers
- Correlation of fuzzy sets
- Correlation of fuzzy numbers
- Uncertainty-based information. Elements of generalized information theory
- Averaging procedures in defuzzification processes.
- On interactive fuzzy numbers
- Nearest interval approximation of a fuzzy number
- The nearest trapezoidal fuzzy number to a fuzzy quantity
- Defuzzification: criteria and classification
- A new approach for defuzzification
- Fuzzy Number Approximation
- RANKING FUZZY NUMBERS THROUGH THE COMPARISON OF ITS EXPECTED INTERVALS
- A NOTE ON THE CORRELATION OF FUZZY NUMBERS BY EXPECTED INTERVAL
- Operations on fuzzy numbers
- On the interval approximation of a fuzzy number
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