A survey of inconsistency indices for pairwise comparisons

M Brunelli - International Journal of General Systems, 2018 - Taylor & Francis
Pairwise comparisons are a well-established tool to compare weights of criteria and
alternatives or, more in general, any entities. Their ultimate goal is to facilitate the search for …

Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations

Z Wu, J Xu - Omega, 2016 - Elsevier
The use of hesitant information in pairwise comparisons enriches the flexibility of qualitative
decision making and allows for hesitant fuzzy linguistic preference relation (HFLPR). This …

Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making

G Wei - Journal of Intelligent & Fuzzy Systems, 2017 - content.iospress.com
In this paper, we investigate the multiple attribute decision making problems with
Pythagorean fuzzy information. Then, we utilize arithmetic and geometric operations to …

Consistency threshold-and score function-based multi-attribute decision-making with Q-rung orthopair fuzzy preference relations

P Liu, Y Li, P Wang - Information Sciences, 2022 - Elsevier
As a general form of intuitionistic fuzzy preference relations (IFPRs) and Pythagorean fuzzy
preference relations (PFPRs), q-rung orthopair fuzzy preference relations (q-ROFPRs) …

An optimisation-based method to conduct consistency and consensus in group decision making under probabilistic uncertain linguistic preference relations

Y Song, G Li, D Ergu, N Liu - Journal of the Operational Research …, 2022 - Taylor & Francis
The use of probabilistic uncertain linguistic preference relations (PULPRs) enriches the
flexibility of decision makers (DMs) in group decision making (GDM). However, the GDM …

Additive consistency analysis and improvement for hesitant fuzzy preference relations

Z Zhang, X Kou, Q Dong - Expert Systems with applications, 2018 - Elsevier
Hesitant fuzzy preference relation (HFPR) is an effective tool to elicit decision makers'
hesitant preference information over alternatives, and consistency analysis is of great …

On priority weights and consistency for incomplete hesitant fuzzy preference relations

Z Zhang, X Kou, W Yu, C Guo - Knowledge-Based Systems, 2018 - Elsevier
The hesitant fuzzy preference relation (HFPR) is a useful tool for decision makers to elicit
their preference information over a set of alternatives. In this paper, it is first proposed an …

Group consistency and group decision making under uncertain probabilistic hesitant fuzzy preference environment

W Zhou, Z Xu - Information Sciences, 2017 - Elsevier
With regard to element uncertainty in a hesitant fuzzy element (HFE), the probabilistic
hesitant fuzzy element (PHFE) was developed. It has been noted that the occurrence …

Probability calculation and element optimization of probabilistic hesitant fuzzy preference relations based on expected consistency

W Zhou, Z Xu - IEEE Transactions on Fuzzy Systems, 2017 - ieeexplore.ieee.org
As a generalized fuzzy number, the hesitant fuzzy element (HFE) has received increasing
attention. However, it is noted that the occurring probabilities of the elements in the HFE are …

Decision making with probabilistic hesitant fuzzy information based on multiplicative consistency

M Lin, Q Zhan, Z Xu - International Journal of Intelligent …, 2020 - Wiley Online Library
The probabilistic hesitant fuzzy preference relations (PHFPRs) provide the decision makers
with an efficient means to express the preference information on pairwise comparisons over …