The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it semigroups. In paper, as a generalization concept hesitant sets semigroup theory, subsemigroups semigroups introduced, related properties are discussed. Furthermore, we define study ideals on particular, investigate structure ideal generated by in semigroup. addition, also concepts semiprime semigr...

Estimating the cost of software is a complex process for almost all engineering companies. Uncertainties about development method, design, estimation process, data, and processing affect the accuracy of estimation. Underestimation results in fewer resources being committed than the project really needs, an unrealistic schedule, and low quality outputs. On the other hand, overestimation wastes r...

In order to be prepared against potential balance-breaking risks affecting economic development, more and more countries have recognized emergency response solutions evaluation (ERSE) as an indispensable activity in their governance of sustainable development. Traditional multiple criteria group decision making (MCGDM) approaches to ERSE have been facing simultaneous challenging characteristics...

The sustainable supplier selection process requires consideration of multi-criteria evaluations. In recent years, to prevent the hesitation of different linguistic expressions by the decision makers, and to help the selection of the best one as the solution of different alternatives, researchers have been using several methods such as hesitant fuzzy linguistic term sets (HFLTS), hesitant fuzzy ...

In this paper we deal with the problem of extending Zadeh's operators on fuzzy sets (FSs) to interval-valued (IVFSs), set-valued (SVFSs) and type-2 (T2FSs) fuzzy sets. Namely, it is known that seeing FSs as SVFSs, or T2FSs, whose membership degrees are singletons is not order-preserving. We then describe a family of lattice embeddings from FSs to SVFSs. Alternatively, if the former singleton vi...

A hesitant fuzzy set (HFS) and a cubic (CS) are two independent approaches to deal with hesitancy vagueness simultaneously. An HFS assigns an essential grade each object in the universe, whereas CS deals uncertain information terms of sets as well interval-valued sets. (CHFS) is new computational intelligence approach that combines HFS. The primary objective this paper define topological struct...

Abstract A vast majority of research has been performed in the field hesitant fuzzy sets (HFSs), involving introduction some properties, operations, relations and modifications such or considering application HFSs MCDM (multicriteria decision making). On other hand, no fully equations. Therefore, this paper, equations dual are introduced. First, a method is proposed to solve one-element Then, e...

Consistency has always been a hot topic in the study of decision-making based on preference relations. This paper focuses consistency hesitant fuzzy linguistic relations (HFLPRs). Firstly, new definition additive HFLPRs is given. Secondly, to examine whether an HFLPR additively consistent, two equivalent programming models are constructed. Thirdly, for inconsistent HFLPRs, corresponding improve...