Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems
Construction theorems for intuitionistic fuzzy sets
Fuzzy Sets and Systems
Construction of intuitionistic fuzzy relations with predetermined properties
Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems
Segmentation using fuzzy divergence
Pattern Recognition Letters
Information Sciences: an International Journal
Intuitionistic fuzzy information - Applications to pattern recognition
Pattern Recognition Letters
Semiautoduality in a restricted family of aggregation operators
Fuzzy Sets and Systems
A new measure using intuitionistic fuzzy set theory and its application to edge detection
Applied Soft Computing
International Journal of Intelligent Systems
Image thresholding using type II fuzzy sets
Pattern Recognition
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Composite radiation dose representation using Fuzzy Set theory
Information Sciences: an International Journal
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
An alternative to fuzzy methods in decision-making problems
Expert Systems with Applications: An International Journal
Signatures: Definitions, operators and applications to fuzzy modelling
Fuzzy Sets and Systems
Uncertainties with Atanassov's intuitionistic fuzzy sets: Fuzziness and lack of knowledge
Information Sciences: an International Journal
Atanassov's intuitionistic fuzzy probability and Markov chains
Knowledge-Based Systems
Computer Methods and Programs in Biomedicine
Segmentation of color images using a linguistic 2-tuples model
Information Sciences: an International Journal
Skin cancer extraction with optimum fuzzy thresholding technique
Applied Intelligence
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In this paper, we define the concept of an ignorance function and use it to determine the best threshold with which to binarize an image. We introduce a method to construct such functions from t-norms and automorphisms. By means of these new measures, we represent the degree of ignorance of the expert when given one fuzzy set to represent the background and another to represent the object. From this ignorance degree, we assign interval-valued fuzzy sets to the image in such a way that the best threshold is given by the interval-valued fuzzy set with the lowest associated ignorance. We prove that the proposed method provides better thresholds than the fuzzy classical methods when applied to transrectal prostate ultrasound images. The experimental results on ultrasound and natural images also allow us to determine the best choice of the function to represent the ignorance.