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IEEE Transactions on Pattern Analysis and Machine Intelligence
A method for inference in approximate reasoning based on interval-valued fuzzy sets
Fuzzy Sets and Systems
Interval-valued fuzzy sets and “compensatory AND”
Fuzzy Sets and Systems
Machine vision
Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
FEDGE - Fuzzy Edge Detection by Fuzzy Categorization and Classification of Edges
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On the relationship between some extensions of fuzzy set theory
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Information Sciences: an International Journal
On the relevance of some families of fuzzy sets
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Pattern Recognition
International Journal of Intelligent Systems
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Pattern Recognition
A geometric approach to edge detection
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
On the representation of intuitionistic fuzzy t-norms and t-conorms
IEEE Transactions on Fuzzy Systems
A t-Norm Based Approach to Edge Detection
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Fuzzy filter based on interval-valued fuzzy sets for image filtering
Fuzzy Sets and Systems
Information Sciences: an International Journal
A gravitational approach to edge detection based on triangular norms
Pattern Recognition
Information Sciences: an International Journal
An improved method for edge detection based on interval type-2 fuzzy logic
Expert Systems with Applications: An International Journal
Information Sciences: an International Journal
Some averaging functions in image reduction
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part III
Expert Systems with Applications: An International Journal
Interval-valued fuzzy sets for color image super-resolution
CAEPIA'11 Proceedings of the 14th international conference on Advances in artificial intelligence: spanish association for artificial intelligence
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
Lattice-valued finite state machines and lattice-valued transformation semigroups
Fuzzy Sets and Systems
Segmentation of color images using a linguistic 2-tuples model
Information Sciences: an International Journal
Soft computing-based preference selection index method for human resource management
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this paper we present a method to construct interval-valued fuzzy sets (or interval type 2 fuzzy sets) from a matrix (or image), in such a way that we obtain the length of the interval representing the membership of any element to the new set from the differences between the values assigned to that element and its neighbors in the starting matrix. Using the concepts of interval-valued fuzzy t-norm, interval-valued fuzzy t-conorm and interval-valued fuzzy entropy, we are able to detect big enough jumps (edges) between the values of an element and its neighbors in the starting matrix. We also prove that the unique t-representable interval-valued fuzzy t-norms and the unique s-representable interval-valued fuzzy t-conorms that preserve the length zero of the intervals are the ones generated by means of the t-norm minimum and the t-conorm maximum.