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2 results on '"Zhou, Feiyue"'

1. On fuzzy-valued inequalities

Author

Zhou Feiyue

Subjects
Hölder's inequality, Discrete mathematics, Kantorovich inequality, Inequality, Logic, media_common.quotation_subject, MathematicsofComputing_NUMERICALANALYSIS, Linear inequality, Artificial Intelligence, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Fuzzy number, Log sum inequality, Rearrangement inequality, Mathematical economics, Cauchy–Schwarz inequality, media_common, Mathematics
Abstract

In this note a general fuzzy-valued inequality is given and some classical inequalities such as the mean-value inequality, the Holder's inequality, the Minkowski's inequality and the Cauchy inequality are extended from ordinary real analysis to the fuzzy-valued case.

Published
1992

2. The relative interiors of convex fuzzy sets under induced fuzzy topology

Author

Zhou Feiyue

Subjects
Discrete mathematics, Fuzzy classification, Mathematics::General Mathematics, Logic, Fuzzy set, Fuzzy subalgebra, Defuzzification, ComputingMethodologies_PATTERNRECOGNITION, Artificial Intelligence, Fuzzy mathematics, Fuzzy number, Fuzzy set operations, ComputingMethodologies_GENERAL, Membership function, Mathematics
Abstract

By introducing affine hulls of fuzzy sets and using Lowen's Representation Theorem for fuzzy subspaces (also for affine fuzzy sets), we go somewhat deeper into the fuzzy topological properties of fuzzy sets and convex fuzzy sets, respectively. Finally we establish the theory of relative interiors of convex fuzzy sets.

Published
1991

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