Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy Sets and Systems - Special issue on clustering and learning
Fuzzy Database Modeling
Fuzzy if-Then Rules in Computational Intelligence: Theory and Applications
Fuzzy if-Then Rules in Computational Intelligence: Theory and Applications
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
On (un)suitable fuzzy relations to model approximate equality
Fuzzy Sets and Systems - Theme: Basic notions
A fuzzy-rough approach to the representation of linguistic hedges
Technologies for constructing intelligent systems
A New Class of Fuzzy Modifiers
ISMVL '00 Proceedings of the 30th IEEE International Symposium on Multiple-Valued Logic
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
An Overview of Fuzzy Relational Calculus and Its Applications
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Document retrieval using fuzzy related geographic ontologies
Proceedings of the 2nd international workshop on Geographic information retrieval
Fuzzy Relational Calculus and Its Application to Image Processing
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
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Relations appear in many fields of mathematics and computer science. In classical mathematics these relations are usually crisp, i.e. two objects are related or they are not. However, many relations in real-world applications are intrinsically fuzzy, i.e. objects can be related to each other to a certain degree.With each fuzzy relation, different kinds of fuzzy relational images can be associated, all with a very practical interpretation in a wide range of application areas. In this paper we will explicite the formal link between well known direct and inverse images of fuzzy sets under fuzzy relations on one hand, and different kinds of compositions of fuzzy relations on the other. Continuing from this point of view we are also able to define a new scale of so-called double images. The wide applicability in mathematics and computer science of all these fuzzy relational images is illustrated with several examples.