Title: Analysis of composed fuzzy contexts through projection

Authors: Prem Kumar Singh; Ch. Aswani Kumar

Addresses: School of Information Technology and Engineering, VIT University, Vellore-632014, Tamilnadu, India ' School of Information Technology and Engineering, VIT University, Vellore-632014, Tamilnadu, India

Abstract: Formal concept analysis (FCA) is a mathematical model for data analysis and processing tasks. Recently, FCA has received significant attention for the analysis of data with fuzzy attributes by representing them as a matter of degree in the formal context. In this paper, we concentrated on the analysis of fuzzy contexts (X, Y, R₁) and (Z, Y, R₂) which share same attribute set (Y). We can observe that, these two contexts can be connected through composition as (X, Z, R₃ = R₁ * R₂), which contains objects set from one context and attribute set from another. In this case, the problem is how to analyse the composed contexts with regard to its object and attribute set with less number of formal concepts using FCA. For this purpose, a method is proposed in this study which provides one context with regard to its object set and another with regard to its attribute set.

Keywords: composition; formal concept analysis; FCA; fuzzy formal concepts; fuzzy concept lattice; projection; mathematical modelling; data analysis; data processing.

DOI: 10.1504/IJDATS.2016.079057

International Journal of Data Analysis Techniques and Strategies, 2016 Vol.8 No.3, pp.206 - 219

Received: 11 Feb 2014
Accepted: 29 Aug 2014
Published online: 12 Sep 2016 *

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