Piecewise linear approximation of fuzzy numbers: algorithms, arithmetic operations and stability of characteristics
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Publication:2296041
DOI10.1007/s00500-019-03800-2zbMath1430.03066OpenAlexW2911842935WikidataQ128378291 ScholiaQ128378291MaRDI QIDQ2296041
Przemysław Grzegorzewski, Marek Gagolewski, Lucian C. Coroianu
Publication date: 17 February 2020
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-019-03800-2
fuzzy numberpiecewise linear approximationapproximation of fuzzy numberscalculations on fuzzy numberscharacteristics of fuzzy numbers
Related Items (4)
On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers ⋮ Trapezoidal approximations of fuzzy numbers using quadratic programs ⋮ Triangular approximation of intuitionistic fuzzy numbers on multi-criteria decision making problem ⋮ Smooth approximations by continuous choice-functions
Uses Software
Cites Work
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- Nearest piecewise linear approximation of fuzzy numbers
- Existence, uniqueness and continuity of trapezoidal approximations of fuzzy numbers under a general condition
- Approximations by LR-type fuzzy numbers
- Approximation of fuzzy numbers by max-product Bernstein operators
- Natural trapezoidal approximations of fuzzy numbers
- Remarks and corrections to the triangular approximations of fuzzy numbers using \(\alpha \)-weighted valuations
- Trapezoidal approximation and aggregation
- Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity
- Weighted semi-trapezoidal approximations of fuzzy numbers
- Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval
- Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value
- Possibility for decision. A possibilistic approach to real life decisions.
- Discontinuity of the trapezoidal fuzzy number-valued operators preserving core
- On polygonal fuzzy sets and numbers
- Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
- Trapezoidal and triangular approximations preserving the expected interval
- Trapezoidal approximations of fuzzy numbers preserving the expected interval -- algorithms and properties
- On the nearest parametric approximation of a fuzzy number
- The nearest trapezoidal form of a generalized left right fuzzy number
- A note on trapezoidal approximations of fuzzy numbers
- Trapezoidal approximations of fuzzy numbers -- revisited
- Existence, uniqueness, calculus and properties of triangular approximations of fuzzy numbers under a general condition
- Weighted trapezoidal approximation-preserving cores of a fuzzy number
- A new approach for ranking of trapezoidal fuzzy numbers
- On the nearest parametric approximation of a fuzzy number -- revisited
- Triangular and parametric approximations of fuzzy numbers -- inadvertences and corrections
- Weighted trapezoidal and triangular approximations of fuzzy numbers
- The mean value of a fuzzy number
- A \(T\)-sum bound of LR-fuzzy numbers
- On a canonical representation of fuzzy numbers
- Metrics and orders in space of fuzzy numbers
- Conditioned weighted \(L\)-\(R\) approximations of fuzzy numbers
- General approximation of fuzzy numbers by F-transform
- Lipschitz functions and fuzzy number approximations
- Trapezoidal approximations of fuzzy numbers
- Nearest interval approximation of a fuzzy number
- A characterization of a general class of ranking functions on triangular fuzzy numbers
- The nearest trapezoidal fuzzy number to a fuzzy quantity
- On improving trapezoidal and triangular approximations of fuzzy numbers
- Triangular approximations of fuzzy numbers using \(\alpha \)-weighted valuations
- Symmetric triangular approximations of fuzzy numbers under a general condition and properties
- Fuzzy number approximation via shadowed sets
- Median value and median interval of a fuzzy number
- On the Interval Approximation of Fuzzy Numbers
- Approximation of Fuzzy Numbers by F-Transform
- Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval
- Piecewise Linear Approximation of Fuzzy Numbers Preserving the Support and Core
- On the interval approximation of a fuzzy number
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