LearnFCA: A Fuzzy FCA and Probability Based Approach for Learning and Classification

Authors

Suraj Ketan Samal, University of Nebraska - LincolnFollow

First Advisor

Jitender Deogun

Date of this Version

Summer 8-22-2019

Document Type

Article

Citation

Samal, Suraj Ketan. LearnFCA: A Fuzzy FCA and Probability Based Approach For Learning and Classification, 2019. M.S. thesis, University of Nebraska.

Comments

A THESIS Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfilment of Requirements For the Degree of Master of Science, Major: Computer Science, Under the Supervision of Professor Jitender Deogun. Lincoln, Nebraska: August, 2019

Copyright 2019 Suraj Ketan Samal

Abstract

Formal concept analysis(FCA) is a mathematical theory based on lattice and order theory used for data analysis and knowledge representation. Over the past several years, many of its extensions have been proposed and applied in several domains including data mining, machine learning, knowledge management, semantic web, software development, chemistry ,biology, medicine, data analytics, biology and ontology engineering.

This thesis reviews the state-of-the-art of theory of Formal Concept Analysis(FCA) and its various extensions that have been developed and well-studied in the past several years. We discuss their historical roots, reproduce the original definitions and derivations with illustrative examples. Further, we provide a literature review of it’s applications and various approaches adopted by researchers in the areas of dataanalysis, knowledge management with emphasis to data-learning and classification problems.

We propose LearnFCA, a novel approach based on FuzzyFCA and probability theory for learning and classification problems. LearnFCA uses an enhanced version of FuzzyLattice which has been developed to store class labels and probability vectors and has the capability to be used for classifying instances with encoded and unlabelled features. We evaluate LearnFCA on encodings from three datasets - mnist, omniglot and cancer images with interesting results and varying degrees of success.

Adviser: Dr Jitender Deogun