Preface; Contents; 1 Introduction and Preliminaries; 1.1 Introduction; 1.1.1 Linear Approximation Operators; 1.1.2 Definitions of the Max-Product Operators; 1.1.3 Main Characteristics of the Max-Product Operators; 1.2 Preliminaries; 1.2.1 Notes on Fuzzy Numbers; 1.2.2 Notes on Possibility Theory; 2 Approximation by Max-Product Bernstein Operators; 2.1 Estimates for Positive Functions; 2.2 Improved Estimates for Strictly Positive Functions; 2.3 Saturation Results; 2.4 Localization Results; 2.5 Iterations and Fixed Points; 2.6 Applications to Approximation of Fuzzy Numbers

2.6.1 Uniform Approximation and Preservation of Characteristics2.6.2 L1-Approximation; 2.7 Bivariate Max-Product Bernstein Operators; 2.8 Applications to Image Processing; 2.9 Notes; 3 Approximation by Max-Product Favard-Szász-Mirakjan Operators; 3.1 Non-Truncated Operators; 3.2 Truncated Operators; 4 Approximation by Max-Product Baskakov Operators; 4.1 Non-Truncated Operators; 4.2 Truncated Operators; 5 Approximation by Max-Product Bleimann-Butzer-Hahn Operators; 5.1 Quantitative Estimates; 5.2 Shape Preserving Properties; 6 Approximation by Max-Product Meyer-König and Zeller Operators

6.1 Estimates and Shape Preserving Properties6.2 Saturation Results; 6.3 Localization Results; 6.4 Note; 7 Approximation by Max-Product Interpolation Operators; 7.1 Max-Product Hermite-Fejér Interpolation on Chebyshev Knots; 7.2 Max-Product Lagrange Interpolation on Chebyshev Knots; 7.3 Modified Max-Product Lagrange Interpolation on General Knots; 7.4 Saturation Results for Equidistant Knots; 7.5 Localization Results for Equidistant Knots; 8 Approximations by Max-Product Sampling Operators; 8.1 Max-Product Generalized Sampling Operators

8.2 Max-Product Sampling Operators Based on Sinc-Type Kernels8.3 Saturation and Localization for Truncated Operators; 8.3.1 The Saturation Order for the Tn(M) Operator; 8.3.2 The Saturation Order for the Wn(M) Operator; 8.3.3 Local Inverse Result for the Tn(M) Operator; 8.3.4 Localization and Local Direct Result for the Tn(M) Operator; 8.3.5 Localization, Local Inverse, and Local Direct Results for the Wn(M) Operator; 8.4 Saturation and Localization for Non-Truncated Operators; 8.4.1 Saturation for the Case of Fejér Kernel; 8.4.2 Local Inverse Result for the Case of Fejér Kernel

8.4.3 Localization Results in the Case of Fejér Kernel8.4.4 The Case of the Whittaker operator; 8.5 Notes; 9 Global Smoothness Preservation Properties; 9.1 The Case of Max-Product Bernstein operator; 9.2 The Case of Max-Product Hermite-Féjer Operator; 9.3 The Case of Max-Product Lagrange Operator; 10 Possibilistic Approaches of the Max-Product Type Operators; 10.1 Bernstein-Type Approach in Possibility Theory; 10.1.1 Max-Product Operators on C+[0, 1]; 10.1.2 Max-Product Operators on UC+[0, +∞); 10.2 Feller's Scheme in Possibility Theory