As a fuzzy set extension, the hesitant set is effectively used to model situations where it is allowable to determine several possible membership degrees of an element to a set due to the ambiguity between different values. Some new hesitant fuzzy operational rules are introduced based on the Hamacher t-conorm and t-norm, whereby we present a multi attribute decision making method under hesitan...

Many real-world decision making problems require multiple criteria which can be from different nature. This implies to define a heterogeneous context with different types of information that experts will use to provide their assessments. But sometimes, experts do not have enough knowledge or information to assess the criteria and they hesitate to express their assessments. Therefore, in this co...

With respect to decision making problems by using probabilities, immediate probabilities and information that can be represented with hesitant fuzzy information, some new decision analysis are proposed. Then, we have developed some new probability aggregation operators with hesitant fuzzy information: probability hesitant fuzzy weighted average (P-HFWA) operator, immediate probability hesitant ...

In this paper, a hesitant fuzzy multiple attribute group decision making problem where there exists prioritization relationships over the attributes and decision makers is studied. First, some Einstein operations on hesitant fuzzy elements and their properties are presented. Then, several generalized hesitant fuzzy prioritized Einstein aggregation operators, including the generalized hesitant f...

In this paper, we defined some aggregation operators to aggregate generalized hesitant fuzzy elements and the relationship between our proposed operators and the existing ones are discussed in detail. Furthermore, the procedure of multicriteria decision making based on the proposed operators is given under generalized hesitant fuzzy environment. Finally, a practical example is provided to illus...

ABSTRACT Objective: this study proposes a hesitant fuzzy linguistic TOPSIS model for supplier segmentation based on economic, environmental, and social criteria. Proposal: the classifies suppliers in matrix considering their capabilities willingness to collaborate. It was implemented using Microsoft Excel© applied hydropower plant. Two employees of company chose set criteria, assigned weights t...

In this article we define some aggregation operators for bipolar-valued hesitant fuzzy sets. These operations include bipolar-valued hesitant fuzzy ordered weighted averaging (BPVHFOWA) operator, bipolar-valued hesitant fuzzy ordered weighted geometric (BPVHFOWG) operator and their generalized forms. We also define hybrid aggregation operators and their generalized forms and solved a decision-m...

The multiplicative hesitant fuzzy information proposed by Xia (2012) uses the non-uniform scale to express the preference of the decision makers which has a broad application background. The key difference between multiplicative hesitant fuzzy information and hesitant fuzzy information is the former uses unsymmetrical scale in expressing the preferences about two alternatives but the latter use...

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...