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Results 1 - 10
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93
Generation of Fuzzy Mathematical Morphologies
- Mathware & Soft Computing
"... Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, includin ..."
Abstract
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Cited by 4 (1 self)
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Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators
Fuzzy Logic and Mathematical Morphology
, 2000
"... In this report we investigate the general theory of grey-scale morphology within the framework of complete lattices and fuzzy logic. This includes grey-scale granulometries, hit-or-miss operators for grey-scale images, rank operators, and connected operators. We also show that the Matheron's re ..."
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's representation theory does not hold for general grey-scale images and we present some results related to the representation theory. Besides these, in this report, we put forward a new approach to fuzzy morphology through the extension of infimum, supremum, and conjunction. 2000 Mathematics Subject Classification
Fuzzy Relative Position Between Objects in Image Processing: A Morphological Approach
, 1997
"... Abstract—In order to cope with the ambiguity of spatial relative position concepts, we propose a new definition of the relative position between two objects in a fuzzy set framework. This definition is based on a morphological and fuzzy pattern-matching approach, and consists of comparing an object ..."
Abstract
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Cited by 71 (16 self)
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Abstract—In order to cope with the ambiguity of spatial relative position concepts, we propose a new definition of the relative position between two objects in a fuzzy set framework. This definition is based on a morphological and fuzzy pattern-matching approach, and consists of comparing an object
Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning
, 2009
"... Mathematical morphology is based on the algebraic framework of complete lattices and adjunctions, which endows it with strong properties and allows for multiple extensions. In particular, extensions to fuzzy sets of the main morphological operators, such as dilation and erosion, can be done while p ..."
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Mathematical morphology is based on the algebraic framework of complete lattices and adjunctions, which endows it with strong properties and allows for multiple extensions. In particular, extensions to fuzzy sets of the main morphological operators, such as dilation and erosion, can be done while
R.M.: Mathematical modeling of the relationship ”between” based on morphological operators
- In: ISMM 2005
, 2005
"... Keywords: The spatial relationship “between ” is a notion which is intrinsically both fuzzy and contextual, and depends in particular on the shape of the objects. The few existing definitions do not take into account these aspects. We propose here definitions which are based on morphological operato ..."
Abstract
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Cited by 1 (1 self)
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Keywords: The spatial relationship “between ” is a notion which is intrinsically both fuzzy and contextual, and depends in particular on the shape of the objects. The few existing definitions do not take into account these aspects. We propose here definitions which are based on morphological
RELATIVE POSITION-BASED SPATIAL RELATIONSHIPS USING MATHEMATICAL MORPHOLOGY
"... Spatial information is a crucial aspect of image understanding for modeling context as well as resolving the uncertainties caused by the ambiguities in low-level features. We describe intuitive, flexible and efficient methods for modeling pairwise directional spatial relationships and the ternary be ..."
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between relation using fuzzy mathematical morphology. First, a fuzzy landscape is constructed where each point is assigned a value that quantifies its relative position according to the reference object(s) and the type of the relationship. Then, the degree of satisfaction of this relation by a target
Integrating bipolar fuzzy mathematical morphology in description logics for spatial reasoning
- In European Conference on Artificial Intelligence ECAI 2010
, 2010
"... Abstract. Bipolarity is an important feature of spatial information, involved in the expression of preferences and constraints about spa-tial positioning or in pairs of opposite spatial relations such as left and right. Another important feature is imprecision which has to be taken into account to m ..."
Abstract
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Cited by 1 (1 self)
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to model vagueness, inherent to many spatial re-lations (as for instance vague expressions such as close to, to the right of), and to gain in robustness in the representations. In previous works, we have shown that fuzzy sets and fuzzy mathematical mor-phology are appropriate frameworks, on the one hand
Ranking and Defuzzification Methods based on Area Compensation
- Fuzzy Sets and Systems
, 1996
"... : We present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Some further results are given about the transitivity property and about ..."
Abstract
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Cited by 76 (2 self)
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: We present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Some further results are given about the transitivity property
Fuzzy Constraints in Job-Shop Scheduling
- Journal of Intelligent Manufacturing
, 1995
"... : This paper proposes an extension of the constraint-based approach to job-shop scheduling, that accounts for the flexibility of temporal constraints and the uncertainty of operation durations. The set of solutions to a problem is viewed as a fuzzy set whose membership function reflects preference. ..."
Abstract
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Cited by 55 (9 self)
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: This paper proposes an extension of the constraint-based approach to job-shop scheduling, that accounts for the flexibility of temporal constraints and the uncertainty of operation durations. The set of solutions to a problem is viewed as a fuzzy set whose membership function reflects preference
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