Aggregation Functions in Theory and in Practice

✍ Scribed by Baets, Bernard De; Mesiar, Radko; Torra, Vicenç

• Tongue: English
• Leaves: 288
• Series: Advances in Intelligent Systems and Computing 581
• Category: Library

✦ Synopsis

This book collects the abstracts of the contributions presented at AGOP 2017, the 9th International Summer School on Aggregation Operators. The conference took place in Skövde (Sweden) in June 2017. Contributions include works from theory and fundamentals of aggregation functions to their use in applications. Aggregation functions are usually defined as those functions that are monotonic and that satisfy the unanimity condition. In particular settings these conditions are relaxed.

Aggregation functions are used for data fusion and decision making.

Examples of these functions include means, t-norms and t-conorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals).

✦ Table of Contents

Front Matter....Pages i-xxv
Capacities, Survival Functions and Universal Integrals....Pages 1-8
Point-Interval-Valued Sets: Aggregation and Construction....Pages 9-20
On Some Applications of Williamson’s Transform in Copula Theory....Pages 21-30
Some Remarks on Idempotent Nullnorms on Bounded Lattices....Pages 31-39
Aggregating Fuzzy Subgroups and T-vague Groups....Pages 40-52
Families of Perturbation Copulas Generalizing the FGM Family and Their Relations to Dependence Measures....Pages 53-63
On Some Classes of RU-Implications Satisfying U-Modus Ponens....Pages 64-70
CMin-Integral: A Choquet-Like Aggregation Function Based on the Minimum t-Norm for Applications to Fuzzy Rule-Based Classification Systems....Pages 71-82
Directional and Ordered Directional Monotonicity of Mixture Functions....Pages 83-95
Using Uninorms and Nullnorms to Modify Fuzzy Implication Functions....Pages 96-105
On the Aggregation of Zadeh’s Z-Numbers Based on Discrete Fuzzy Numbers....Pages 106-117
Aggregation over Property-Based Preference Domains....Pages 118-129
Generalization of Czogała-Drewniak Theorem for n-ary Semigroups....Pages 130-137
On Idempotent Discrete Uninorms....Pages 138-146
On the F-partial Order and Equivalence Classes of Nullnorms....Pages 147-153
A Generalization of the Gravitational Search Algorithm....Pages 154-161
On Stability of Families for Improper Aggregation Operators....Pages 162-171
Sizes, Super Level Measures and Integrals....Pages 172-180
Monotonicity in the Construction of Ordinal Sums of Fuzzy Implications....Pages 181-188
On the Visualization of Discrete Non-additive Measures....Pages 189-199
Generating Recommendations in GDM with an Allocation of Information Granularity....Pages 200-210
Aggregation Functions, Similarity and Fuzzy Measures....Pages 211-222
On the Construction of Associative, Commutative and Increasing Operations by Paving....Pages 223-228
On Implication Operators....Pages 229-240
Some Results About Fuzzy Consequence Operators and Fuzzy Preorders Using Conjunctors....Pages 241-252
Back Matter....Pages 253-262
....Pages 263-264