Interpretability Issues in Fuzzy Modeling

J. Casillas, O. Cordón, F. Herrera, L. Magdalena (Eds.)

Table of Contents

Foreword
P. Bonissone

Preface
J. Casillas, O. Cordón, F. Herrera, L. Magdalena

1. OVERVIEW

Interpretability improvements to find the balance interpretability-accuracy in fuzzy modeling: an overview
J. Casillas, O. Cordón, F. Herrera, L. Magdalena
p. 3

2. IMPROVING THE INTERPRETABILITY WITH FLEXIBLE RULE STRUCTURES

Regaining comprehensibility of approximative fuzzy models via the use of linguistic hedges
J.G. Marín-Blázquez, Q. Shen
p. 25

Identifying flexible structured premises for mining concise fuzzy knowledge
N. Xiong, L. Litz
p. 54

3. COMPLEXITY REDUCTION IN LINGUISTIC FUZZY MODELS

A multiobjective genetic learning process for joint feature selection and granularity and contexts learning in fuzzy rule-based classification systems
O. Cordón, M.J. del Jesus, F. Herrera, L. Magdalena, P. Villar
p. 79

Extracting linguistic fuzzy models from numerical data-AFRELI algorithm
J. Espinosa, J. Vandewalle
p. 100

Constrained optimization of fuzzy decision trees
P.-Y. Glorennec
p. 125

A new method for inducing a set of interpretable fuzzy partitions and fuzzy inference systems from data
S. Guillaume, B. Charnomordic
p. 148

A feature ranking algorithm for fuzzy modelling problems
D. Tikk, T.D. Gedeon, K.W. Wong
p. 176

Interpretability in multidimensional classification
V. Vanhoucke, R. Silipo
p. 193

4. COMPLEXITY REDUCTION IN PRECISE FUZZY MODELS

Interpretable semi-mechanistic fuzzy models by clustering, OLS and FIS model reduction
J. Abonyi, H. Roubos, R. Babuska, F. Szeifert
p. 221

Trade-off between approximation accuracy and complexity: TS controller design via HOSVD based complexity minimization
P. Baranyi, Y. Yam, D. Tikk, R.J. Patton
p. 249

Simplification and reduction of fuzzy rules
M. Setnes
p. 278

Effect of rule representation in rule base reduction
T. Sudkamp, A. Knapp, J. Knapp
p. 303

Singular value-based fuzzy reduction with relaxed normalization condition
Y. Yam, C.T. Yang, P. Baranyi
p. 325

5. INTERPRETABILITY CONSTRAINTS IN TSK FUZZY RULE-BASED SYSTEMS

Interpretability, complexity, and modular structure of fuzzy systems
M. Bikdash
p. 355

Hierarchical genetic fuzzy systems: accuracy, interpretability and design autonomy
M.R. Delgado, F. von Zuben, F. Gomide
p. 379

About the trade-­off between accuracy and interpretability of Takagi­-Sugeno models in the context of nonlinear time series forecasting
A. Fiordaliso
p. 406

Accurate, transparent and compact fuzzy models by multi-objective evolutionary algorithms
F. Jiménez, A.F. Gómez-Skarmeta, G. Sánchez, H. Roubos, R. Babuska
p. 431

Transparent fuzzy systems in modeling and control
A. Riid, E. Rüstern
p. 452

Uniform fuzzy partitions with cardinal splines and wavelets: getting interpretable linguistic fuzzy models
A.R. de Soto
p. 477

6. ASSESSMENTS ON THE INTERPRETABILITY LOSS

Relating the theory of partitions in MV-logic to the design of interpretable fuzzy systems
P. Amato, C. Manara
p. 499

A formal model of interpretability of linguistic variables
U. Bodenhofer, P. Bauer
p. 524

Expressing relevance and interpretability of rule-based systems
W. Pedrycz
p. 546

Conciseness of fuzzy models
T. Suzuki, T. Furuhashi
p. 568

Exact trade-off between approximation accuracy and interpretability: solving the saturation problem for certain FRBSs
D. Tikk, P. Baranyi
p. 587

7. INTERPRETATION OF BLACK-BOX MODELS AS FUZZY RULE-BASED MODELS

Interpretability improvement of RBF-based neurofuzzy systems using regularized learning
Y. Jin
p. 605

Extracting fuzzy classification rules from fuzzy clusters on the basis of separating hyperplanes
B. von Schmidt, F. Klawonn
p. 621