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...

Abstract The paper aims to present an integrated approach solve the decision-making problem under probabilistic hesitant fuzzy information (PHFI) features, which is extension of set. considered PHFI not only allows multiple opinions, but also associates occurrence probability each opinion, increases reliability information. Motivated by these features PHFI, presented decision with partial known...

The intuitionistic hesitant fuzzy set (IHFS) is an enriched version of sets (HFSs) that can cover both (FSs) and (IFSs). By assigning membership non-membership grades as subsets [0, 1], the IHFS model handle situations more proficiently. Another related theory pair analysis (SPA), which considers certainties uncertainties a cohesive system represents them from three aspects: identity, discrepan...

Selecting the most suitable alternative under uncertainty is considered as a critical decision-making problem that affects the success of organizations. In the selection process, there are a number of assessment criteria, considered by a group of decision makers, which often could be established in a multi-level hierarchy structure. The aim of this paper is to introduce a new hierarchical multi...

‎selecting the most suitable robot among their wide range of specifications and capabilities is an important issue to perform the hazardous and repetitive jobs‎. ‎companies should take into consideration powerful group decision-making (gdm) methods to evaluate the candidates or potential robots versus the selected attributes (criteria)‎. ‎in this study‎, ‎a new gdm method is proposed by utilizi...

This paper proposes a new practical model for project portfolio selection focusing on two issues; the first issue relates to managing uncertainty provoked by hesitant situations and the second issue relates to the interaction effect of projects on final value of portfolio. Based on the above issues, the hesitant fuzzy weighted averaging (HFWA) operator is applied to aggregate the hesitant fuzzy...

The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Hong-yu Zhang & Xiao-hong Chen To cite this article: Juan-juan Peng, Jian-qiang Wang, Xiao-hui Wu, Hong-yu Zhang & Xiao-hong Chen (2015) The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-c...

In the previous lecture, we showed that Shannon constructed a code, which was a one-to-one mapping, that took a stream of data X = (X1, ..., Xn) generated iid from a distribution P (X) over a finite alphabet A = (a1, ..., aA) of size A, and compressed it using ≈ nH(X) bits in total or ≈ H(X) bits per symbol, on average (for sufficiently large n). The code was based considering a special subset ...