Geometry of Spatial Bipolar Fuzzy Sets Based on Bipolar Fuzzy Numbers and Mathematical Morphology

Authors:
Isabelle Bloch
Affiliations:
Télécom ParisTech (ENST) - CNRS UMR 5141 LTCI, Paris, France
Venue:
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Year:
2009

Citing 10
Cited 6

Fuzzy plane geometry I: points and lines

Fuzzy Sets and Systems
The applications of interval-valued fuzzy numbers and interval-distribution numbers

Fuzzy Sets and Systems
Distances between intuitionistic fuzzy sets

Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets

Fuzzy Sets and Systems
Some algebraic properties and a distance measure for interval-valued fuzzy numbers

Information Sciences—Applications: An International Journal
Bipolar possibility theory in preference modeling: Representation, fusion and optimal solutions

Information Fusion
Intuitionistic fuzzy information - Applications to pattern recognition

Pattern Recognition Letters
A new measure using intuitionistic fuzzy set theory and its application to edge detection

Applied Soft Computing
Dilation and Erosion of Spatial Bipolar Fuzzy Sets

WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Intuitionistic fuzzy sets

Fuzzy Sets and Systems

Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning

ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology

Information Sciences: an International Journal
Bipolar fuzzy graphs

Information Sciences: an International Journal
Topological relation analysis between high-order fuzzy regions based on fuzzy logic

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Geometric properties of interval type-II fuzzy regions

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Vague hypergraphs

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose in this paper new tools for dealing with bipolar fuzzy spatial information: particular geometrical objects are defined, as well as measures such as cardinality and perimeter, represented as bipolar fuzzy numbers. A definition of distance from a point to a bipolar fuzzy set is introduced as well. These definitions are based on mathematical morphology operators, recently proposed in the framework of bipolar fuzzy sets.