@misc{10481/72453,
year = {2021},
month = {7},
url = {http://hdl.handle.net/10481/72453},
abstract = {This article investigates multiplicative consistency
ascertaining, inconsistency repairing, and weights derivation for
hesitant multiplicative preference relations (HMPRs). First, the
completely multiplicative consistency and weakly multiplicative
consistency of HMPRs are defined. Based on them, 0-1 mixed programming
models and simple algebraic operations are proposed
to ascertain the multiplicative consistency of HMPRs. Then, some
goal programming models are developed to generate the weights
from consistent HMPRs and to revise inconsistent HMPRs. An
integrated procedure to manage the multiplicative consistencies of
HMPRs is designed. The proposed methods are also extended to
accommodate incomplete HMPRs, and to estimate missing values.
Finally, some numerical examples, a comparative analysis
with existent approaches, and a simulation analysis are included
to illustrate the practicality and effectiveness of the developed
models.},
organization = {National Natural Science Foundation of China (NSFC)	71871085},
organization = {FEDER Funds provided in the National Spanish Project	PID2019-103880RB-I00},
publisher = {IEEE},
keywords = {Consistency ascertaining},
keywords = {Hesitant multiplicative preference relations (HMPRs)},
keywords = {Inconsistency repairing},
keywords = {Missing values},
keywords = {Weights derivation},
title = {Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations},
doi = {10.1109/TSMC.2021.3099862},
author = {Xu, Yejun and Chiclana Parrilla, Francisco and Herrera Viedma, Enrique},
}