Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory

Abstract

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Using causality modeling and Fuzzy Lattice Reasoning algorithm for predicting blood glucose

“…Kappa statistics is generally used in data mining, statistical analysis and even assessment of medical diagnostic tests (Kaburlasos, 2006), as an indicator on how 'reliable' a trained model is. It basically reflects how consistent the evaluation results obtained from multiple inter-observers are and how well they are agreed upon.…”

A lattice-based neuro-computing methodology for real-time human action recognition

“…A valuation function v [15,16] in a lattice ðL; 6Þ is a real function v : L ! R which satisfies: vðuÞ þ vðwÞ ¼ vðu^wÞ þ vðu _ wÞ; 8u; w 2 L. A valuation is called monotone iff u 6 w implies v(u) 6 v(w) and positive iff u < w implies v(u) < v(w).…”

Permutation-based finite implicative fuzzy associative memories

“…It is important to remark, however, that finite IFAMs -and several MNNs -are defined on conventional (or crisp) lattices. As a consequence, they are conceptually different from the fuzzy lattice neurocomputing (FLN) models introduced by Kaburlasos and Petridis which are defined on fuzzy lattices with an inclusion measure [19,20,46]. The reader interested in a brief review on lattice computing, as well as a definition of this class of models, is invited to read [10].…”