Decision Making with Uncertainty Information Based on Lattice-Valued Fuzzy Concept Lattice

Li Yang (Southwest Jiaotong University, P.R. China)

Yang Xu (Southwest Jiaotong University, P.R. China)

Abstract: For the processing of decision making with uncertainty information, this paper establishes a decision model based on lattice-valued logic and researches the algorithm for extracting the maximum decision rules. Firstly, we further research the lattice-valued fuzzy concept lattice by combining the lattice implication algebra and classical concept lattice; secondly, we define the lattice-valued decision context as the equivalent form of decision information system and establish the single-target decision model and talk about some properties of the decision rules; finally, we give the calculating methods of decision rules with different decision values and the algorithm for extracting the maximum decision rules.

Keywords: concept lattice, decision making, decision rule, lattice-valued logic, uncertainty

Categories: I.2.3