Optimal Solutions to Granular Fuzzy Relation Equations with Fuzzy Logic Operations

D Wang, K Yu, X Zhu, Z Yu - Applied Soft Computing, 2024 - Elsevier
Fuzzy relation equations are commonly utilized to describe the fuzzy relationship between
the antecedent and the consequent parts of complex data environment, and play a vital role …

Development of granular fuzzy relation equations based on a subset of data

D Wang, X Zhu, W Pedycz, Z Yu… - IEEE/CAA Journal of …, 2021 - ieeexplore.ieee.org
Developing and optimizing fuzzy relation equations are of great relevance in system
modeling, which involves analysis of numerous fuzzy rules. As each rule varies with respect …

Granular Fuzzy Models: Construction, Analysis, and Design

OF Reyes-Galaviz - 2016 - era.library.ualberta.ca
Building abstract concepts is essential to humans when acquiring knowledge, realizing
processing (reasoning), and communicating findings. Abstraction comes hand in hand with …

Granular fuzzy rule-based model construction under the collaboration of multiple organizations

B Liu, B Wang, Y Shen, W Pedrycz, Y Chen - Applied Soft Computing, 2024 - Elsevier
In the real world, phenomena are often observed and recorded by multiple organizations
which results in multiple sources of data. When dealing with such data, the centralized …

A unified granular fuzzy-neuro min-max relational framework for medical diagnosis

M Beldjehem - International Journal of Advanced …, 2011 - inderscienceonline.com
We propose to accommodate herein our novel unified granular framework that uses a
developed hybrid fuzzy-neuro relational system in order to tackle a complex medical …

[图书][B] Fuzzy relational equations: Resolution and optimization

P Li - 2009 - search.proquest.com
Fuzzy relational equations play an important role as a platform in various applications of
fuzzy sets and systems. The resolution and optimization of fuzzy relational equations are of …

Solutions of fuzzy relation equations based on continuous t-norms

BS Shieh - Information Sciences, 2007 - Elsevier
This study is concerned with fuzzy relation equations with continuous t-norms in the form
ATR= B, where A and B are the fuzzy subsets of X and Y, respectively; R⊂ X× Y is a fuzzy …

Resolution of composite fuzzy relation equations based on Archimedean triangular norms

GB Stamou, SG Tzafestas - Fuzzy Sets and Systems, 2001 - Elsevier
Lately, the sup-t-norm composition of fuzzy relations has been used instead of the well-
known max–min. Thus, there is a need for methods of studying and solving sup-t-norm fuzzy …

Knowledge distillation in granular fuzzy models by solving fuzzy relation equations

H Rakytyanska - Advancements in Knowledge Distillation: Towards New …, 2023 - Springer
A knowledge distillation method is proposed that uses inverse inference to deploy a
granular-fuzzy classifier on devices with limited computing resources. The System of Fuzzy …

From fuzzy rule-based models to their granular generalizations

X Hu, W Pedrycz, X Wang - Knowledge-Based Systems, 2017 - Elsevier
In recent years, granular fuzzy models have become an intensively studied category of fuzzy
models. Granular fuzzy models help elevate the existing models to the higher level of …