In this paper, two generalized hesitant fuzzy generalized Shapley-Choquet integral operators are defined, which globally consider the importance of elements in a set, and the correlations among them. Some important special cases are examined. An improvement order relationship between hesitant fuzzy elements (HFEs) is introduced, and a new distance measure of HFSs is defined. This distance measu...

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacymembership and falsity-membership degree have a set of crisp valu...

Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al.~cite{GaCa:Pohfs}, in this paper a fuzzy disjunction ${D}$ on the set ${H}$ of finite and nonempty subsets of the unit interval and a t-conorm ${S}$ on the set $bar{{B}}$ of equivalence class on the set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzy negati...

The cubic q-rung orthopair hesitant fuzzy set (Cq-ROHFS) provides greater information and is capable of representing both the interval-valued (IVq-ROHFS) (q-ROHFS). concept Cq-ROHFS more flexible when considering symmetry between two or objects. In social life, complex decision often too uncertain to allow precision. sets are a useful tool for in situations. Using least common multiple (LCM) ex...

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...