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 negations $N_n$ on ${H}$ and $\mu_n$ on $\bar{{B}}$ are proposed. Particularly, their De Morgan's laws are investigated with respect to binary operations ${C}$ and ${D}$ on ${H}$, as well as ${T}$ and {S} on $\bar{{B}}$ respectively, where ${C}$ is a commutative fuzzy conjunction on $({H},\leq_H)$ and ${T}$ is a t-norm on $(\bar{{B}},\leq_B)$. Finally, the new hesitant fuzzy aggregation operators are presented on ${H}$ and $\bar{{B}}$ and their more general forms are given. Moreover, the validity of the aggregation operations is illustrated by a numerical example on decision making.
Ye, M. , Jin, J. and Feng, Y. (2020). Negations and aggregation operators based on a new hesitant fuzzy partial ordering. Iranian Journal of Fuzzy Systems, 17(1), 1-12. doi: 10.22111/ijfs.2020.5106
MLA
Ye, M. , , Jin, J. , and Feng, Y. . "Negations and aggregation operators based on a new hesitant fuzzy partial ordering", Iranian Journal of Fuzzy Systems, 17, 1, 2020, 1-12. doi: 10.22111/ijfs.2020.5106
HARVARD
Ye, M., Jin, J., Feng, Y. (2020). 'Negations and aggregation operators based on a new hesitant fuzzy partial ordering', Iranian Journal of Fuzzy Systems, 17(1), pp. 1-12. doi: 10.22111/ijfs.2020.5106
CHICAGO
M. Ye , J. Jin and Y. Feng, "Negations and aggregation operators based on a new hesitant fuzzy partial ordering," Iranian Journal of Fuzzy Systems, 17 1 (2020): 1-12, doi: 10.22111/ijfs.2020.5106
VANCOUVER
Ye, M., Jin, J., Feng, Y. Negations and aggregation operators based on a new hesitant fuzzy partial ordering. Iranian Journal of Fuzzy Systems, 2020; 17(1): 1-12. doi: 10.22111/ijfs.2020.5106
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