Coordinate Fuzzy Transforms and Fuzzy Tent Maps – Properties and Applications

Horia-Nicolai L. TEODORESCU^1,2
1 Romanian Academy – Iasi Branch, Iasi, Romania
² “Gheorghe Asachi” Technical University of Iasi, 67, D. Mangeron, Iasi, Romania

Abstract: The paper introduces transforms of the coordinates in the Euclidean space based on fuzzy logic systems and investigates properties of these transforms. Tents maps modified using coordinate fuzzy transforms are introduced as a direct application of the fuzzy transforms. For brevity, only line and plane fuzzy transforms are considered.

Keywords: Fuzzy transformation, real line, Euclidean space, tent map, nonlinear transformation, histogram equalization.

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CITE THIS PAPER AS:
Horia-Nicolai L. TEODORESCU, Coordinate Fuzzy Transforms and Fuzzy Tent Maps – Properties and Applications, Studies in Informatics and Control, ISSN 1220-1766, vol. 24 (3), pp. 243-250, 2015. https://doi.org/10.24846/v24i3y201501