Cubic intuitionistic fuzzy (CIF) set is the hybrid set which can contain much more information to express an interval-valued intuitionistic fuzzy set and an intuitionistic fuzzy set simultaneously for handling the uncertainties in the data. Unfortunately, there has been no research on the aggregation operators on CIF sets so far. Since an aggregation operator is an important mathematical tool i...

K-nearest neighbor (KNN) is an effective nonparametric classifier that determines the neighbors of a point based only on distance proximity. The classification performance KNN disadvantaged by presence outliers in small sample size datasets and its deteriorates with class imbalance. We propose local Bonferroni Mean Fuzzy K-Nearest Centroid Neighbor (BM-FKNCN) assigns label query dependent neare...

Based on the closed operational laws in picture fuzzy numbers and strict triangular norms, we extend Bonferroni mean (BM) operator under environment to propose interactional (PFIBM), weighted (PFIWBM), normalized (PFINWBM) operators. We prove monotonicity, idempotency, boundedness, commutativity for PFIBM PFINWBM also establish a novel multi-criteria decision making (MCDM) method by applying op...