On the nearest parametric approximation of a fuzzy number---Revisited

Authors:
Adrian I. Ban
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 10
Cited 12

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On improving trapezoidal and triangular approximations of fuzzy numbers

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On the nearest parametric approximation of a fuzzy number

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Triangular and parametric approximations of fuzzy numbers---inadvertences and corrections

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Weighted trapezoidal approximation-preserving cores of a fuzzy number

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Weighted semi-trapezoidal approximations of fuzzy numbers

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Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval

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Weighted semi-trapezoidal approximations of fuzzy numbers

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Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval

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Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value

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Metric properties of the nearest extended parametric fuzzy number and applications

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Trapezoidal approximation and aggregation

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Discontinuity of the trapezoidal fuzzy number-valued operators preserving core

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Optimization and extensions of a fuzzy multicriteria decision making method and applications to selection of touristic destinations

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Nearest interval, triangular and trapezoidal approximation of a fuzzy number preserving ambiguity

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Lipschitz functions and fuzzy number approximations

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Abstract

The problem of finding the nearest parametric approximation of a fuzzy number with respect to the average Euclidean distance is completely solved. Properties of translation invariance, scale invariance, additivity, preservation of expected value, value and ambiguity of this new approximation operator are studied and an algorithm for computing it is provided.