Generalized fuzzy morphological operators

Authors:
Tingquan Deng;Yanmei Chen
Affiliations:
,Department of Mathematics, Harbin Institute of Technology, Harbin, P.R. China;Department of Mathematics, Harbin Institute of Technology, Harbin, P.R. China
Venue:
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Year:
2005

Citing 9
Cited 1

Grayscale morphology

Computer Vision, Graphics, and Image Processing
A first course in fuzzy logic

A first course in fuzzy logic
Grey-Scale Morphology Based on Fuzzy Logic

Journal of Mathematical Imaging and Vision
Connections between binary, gray-scale and fuzzy mathematical morphologies

Fuzzy Sets and Systems
Morphological Image Analysis: Principles and Applications

Morphological Image Analysis: Principles and Applications
Sinha-Dougherty approach to the fuzzification of set inclusion revisited

Fuzzy Sets and Systems - Implication operators
Image Analysis and Mathematical Morphology

Image Analysis and Mathematical Morphology
A general axiomatic theory of intrinsically fuzzy mathematical morphologies

IEEE Transactions on Fuzzy Systems
A generalized fuzzy mathematical morphology and its application in robust 2-D and 3-D object representation

IEEE Transactions on Image Processing

Interval-Valued and Intuitionistic Fuzzy Mathematical Morphologies as Special Cases of $\mathbb{L}$-Fuzzy Mathematical Morphology

Journal of Mathematical Imaging and Vision

Quantified Score

Hi-index	0.01

Visualization

Abstract

The adjunction in lattice theory is an important technique in lattice-based mathematical morphology and fuzzy logical operators are indispensable implements in fuzzy morphology. This paper introduces a set-valued mapping that is compatible with the infimum in a complete lattice and with a conjunction in fuzzy logic. According to the generalized operator, a concept of a fuzzy adjunction is developed to generate fuzzy morphological dilation and erosion. Fundamental properties of the generalized fuzzy morphological operators have been investigated.