The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Fuzzification of set inclusion: theory and applications
Fuzzy Sets and Systems
Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzy Relative Position Between Objects in Image Processing: A Morphological Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Fuzzy Sets and Systems
Duality vs adjunction and general form for fuzzy mathematical morphology
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
On the representation of intuitionistic fuzzy t-norms and t-conorms
IEEE Transactions on Fuzzy Systems
Intuitionistic Fuzzy Clustering with Applications in Computer Vision
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Geometry of Spatial Bipolar Fuzzy Sets Based on Bipolar Fuzzy Numbers and Mathematical Morphology
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
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
On the role of complete lattices in mathematical morphology: From tool to uncertainty model
Information Sciences: an International Journal
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
On the construction of interval-valued fuzzy morphological operators
Fuzzy Sets and Systems
Fuzzy bipolar mathematical morphology: a general algebraic setting
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Information Sciences: an International Journal
Journal of Mathematical Imaging and Vision
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Bipolarity has not been much exploited in the spatial domain yet, although it has many features to manage imprecise and incomplete information that could be interesting in this domain. This paper is a first step to address this issue, and we propose to define mathematical morphology operations on bipolar fuzzy sets (or equivalently interval valued fuzzy sets or intuitionistic fuzzy sets).