Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Wormhole Broadcast in Hypercubes
The Journal of Supercomputing
Fuzzy linear programming using a penalty method
Fuzzy Sets and Systems
Survey of utilisation of fuzzy technology in medicine and healthcare
Fuzzy Sets and Systems - Special issue on clustering and learning
Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering
Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering
Fuzzy and Neuro-Fuzzy Systems in Medicine
Fuzzy and Neuro-Fuzzy Systems in Medicine
Fuzzy Logic in Medicine
On the use and usefulness of fuzzy sets in medical AI
Artificial Intelligence in Medicine
The Fuzzy Revolution: Goodbye to the Aristotelian Weltanschauung
Artificial Intelligence in Medicine
A survey of fuzzy logic monitoring and control utilisation in medicine
Artificial Intelligence in Medicine
AI in medicine on its way from knowledge-intensive to data-intensive systems
Artificial Intelligence in Medicine
Breast cancer diagnosis system based on wavelet analysis and fuzzy-neural
Expert Systems with Applications: An International Journal
Fuzzy Sets and Systems
The average running time of an algorithm as a midpoint between fuzzy sets
Mathematical and Computer Modelling: An International Journal
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Using Kosko's hypercube, we identify a fuzzy set with a point in a unit hypercube. A non-fuzzy or crisp subset of a set is a vertex of the hypercube. We introduce some new ideas: the definition of the fuzzy segment joining two given fuzzy subsets of a set, the set of midpoints between those two fuzzy subsets, and the set of equidistant points from given points. We present some basic properties and relations between these concepts and provide a complete description of fuzzy segments and midpoints. In the majority of cases, there is no unique midpoint; one has an infinite set of possibilities to choose from. This situation is totally different from classical Euclidean geometry where, for two given points, there is a unique midpoint. We use the obtained results to study two sets of medical data and present two applications in medicine: the fuzzy degree of two concurrent food and drug addictions, and a fuzzy representation of concomitant causal mechanisms of stroke.