Title: A note on bipolar fuzzy graph representation of concept lattice

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 based on lattice theory. FCA is successfully extended from crisp setting to fuzzy setting as well as interval-valued fuzzy setting. These extensions of fuzzy set define the data in the unipolar space and lack in representing bipolarity. However, bipolar fuzzy set represents the positive and negative information simultaneously. This extension has been applied recently in lattice theory, graph theory and in FCA as well. In this paper, we focus on introducing the link between bipolar fuzzy graph and concept lattice.

Keywords: bipolar fuzzy graphs; complete lattice; formal concept analysis; FCA; fuzzy concept lattice; formal fuzzy concept; graph representation; mathematical modelling; lattice theory; fuzzy sets; fuzzy logic; bipolarity.

DOI: 10.1504/IJCSM.2014.066426

International Journal of Computing Science and Mathematics, 2014 Vol.5 No.4, pp.381 - 393

Received: 17 Jul 2013
Accepted: 13 Nov 2013
Published online: 31 Jan 2015 *

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