Probabilistic dual hesitant fuzzy set (PDHFS) is a more powerful and important tool to describe uncertain information regarded as generalization of (HFS) HFS (DHFS), not only reflects the attitude decision-makers (DMs), but also probability DMs. Score function number weighting method are very in multi-attribute group decision-making (MAGDM) issues. In many environments, score entropy measure ha...

The probabilistic linguistic term set (PLTS) has been widely used in multiple criteria group decision making (MCGDM) problems where the information is uncertain and hesitant. To reflect different preferences uncertainties, we propose a new PLTS with probability form of Pythagorean fuzzy (PFS), called (PFPLTS). In addition, considering integrity, uncertainty DMs' preferences, operation aggregati...

Probabilistic and fuzzy choice theory are used to describe decision situations in which a certain degree of imprecision is involved. In this work we propose a correspondence between probabilistic and fuzzy choice functions, based on implication operators. Given a probabilistic choice function a fuzzy choice function can be constructed and, furthermore, a new set of rationality conditions is pro...

With the rise of concept environmental protection and attention all sectors society to ecological environment, selection green suppliers is a hot topic. In this paper, we develop combinative distance-based assessment (CODAS) method in probabilistic hesitant fuzzy sets (PHFSs) cope with multiple attributes group decision making (MAGDM). A standardized approach that integrates methods applied nor...