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...

We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the intervalvalued intuitionistic fuzzy optimi...

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...

The Bonferroni multiple testing procedure is commonly perceived as being overly conservative in large-scale simultaneous testing situations such as those that arise in microarray data analysis. The objective of the present study is to show that this popular belief is due to overly stringent requirements that are typically imposed on the procedure rather than to its conservative nature. To get o...