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...

In this paper, the dual hesitant fuzzy rough set (DHFRS) is studied from the viewpoint of assessment deviations. Firstly, according to the relationship between intuitionistic fuzzy set and vague set, the DHFRS is transferred into a fuzzy set, where the membership of any given element to it has multi-grouped values. By the idea of bootstrap sampling, a group of four sets are generated to describ...

Utilizing renewable energies is one of the most important issues for economical and social significance in future human life. Choosing the best renewable energy among all other candidates is very important in this area. To address the issue, multi-criteria group decision making (MCGDM) methods with imprecise information could be employed to solve these problems. The aim of this paper is to prop...

In this paper, we define the concept of incomplete hesitant fuzzy preference relations to deal with the cases where the decision makers express their judgments by using hesitant fuzzy preference relations with incomplete information, and investigate the consistency of the incomplete hesitant fuzzypreference relations and obtain the reliable priority weights. We first establish a goal programmin...

Uncertainty is prevalent in a wide range of real-world issues. The fuzzy sets, vague sets or intuitionistic are widely used recent years for decision making and various analysis where uncertainty predominant. An extension Hesitant Fuzzy Sets, which deals with ambiguous situations that arise when determining an element's membership degree set. Researchers have defined ideas, extensions, aggregat...

In many personnel evaluation scenarios, decision makers are asked to provide their preferences anonymously to both ensure privacy and avoid psychic contagion. The use of hesitant fuzzy sets is a powerful technique for representing this type of information and has been well studied. This paper explores aggregation methods for prioritized hesitant fuzzy elements and their application on personnel...

Proposing a hierarchical group compromise method can be regarded as a one of major multi-attributes decision-making tool that can be introduced to rank the possible alternatives among conflict criteria. Decision makers’ (DMs’) judgments are considered as imprecise or fuzzy in complex and hesitant situations. In the group decision making, an aggregation of DMs’ judgments and fuzzy group compromi...

The processing of a sparse matrix is hot topic in the recommendation system. This paper applies method hesitant fuzzy set to study problem. Based on uncertain factors process, this theory characterize historical ratings embedded system and studies data problem under condition set. key transform similarity products into two sets by conversion, processing, complement. further considers influence ...