An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: Taxonomy and future directions

CC Li, Y Dong, Y Xu, F Chiclana, E Herrera-Viedma… - Information …, 2019 - Elsevier
The reciprocal preference relation (RPR) is a powerful tool to represent decision makers'
preferences in decision making problems. In recent years, various types of RPRs have been …

Multiplicative consistency of intuitionistic reciprocal preference relations and its application to missing values estimation and consensus building

J Wu, F Chiclana - Knowledge-Based Systems, 2014 - Elsevier
The mathematical modelling and representation of Tanino's multiplicative transitivity
property to the case of intuitionistic reciprocal preference relations (IRPRs) is derived via …

Average-case consistency measurement and analysis of interval-valued reciprocal preference relations

Y Dong, CC Li, F Chiclana… - Knowledge-Based Systems, 2016 - Elsevier
Measuring consistency of preferences is very important in decision-making. This paper
addresses this key issue for interval-valued reciprocal preference relations. Existing studies …

Some models to manage additive consistency and derive priority weights from hesitant fuzzy preference relations

Y Xu, W Dai, J Huang, M Li, E Herrera-Viedma - Information sciences, 2022 - Elsevier
Consistency has a crucial influence on the rationality of preference information and even the
final decision result. This paper presents two new definitions of additive consistency for …

Managing transitivity and consistency of preferences in AHP group decision making based on minimum modifications

Z Wu, J Tu - Information Fusion, 2021 - Elsevier
Preference transitivity characterized by ordinal consistency is a fundamental principle for
decision making models based on pairwise comparison matrices (PCMs). However, little …

Three-way group consensus method based on probabilistic linguistic preference relations with acceptable inconsistency

X Han, J Zhan, Y Bao, B Sun - Information Fusion, 2024 - Elsevier
In the realm of addressing consensus challenges within group decision-making (GDM) that
encompass individual preferences, this article presents an innovative approach. This article …

Algorithms for improving consistency or consensus of reciprocal [0, 1]-valued preference relations

M Xia, Z Xu, J Chen - Fuzzy sets and systems, 2013 - Elsevier
We investigate the consistency and consensus of reciprocal [0, 1]-valued preference
relations (also called fuzzy preference relations by many authors) based on the …

A new measure of consensus with reciprocal preference relations: The correlation consensus degree

T González-Arteaga, R de Andrés Calle… - Knowledge-Based …, 2016 - Elsevier
The achievement of a 'consensual'solution in a group decision making problem depends on
experts' ideas, principles, knowledge, experience, etc. The measurement of consensus has …

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 …

An optimization-based approach to adjusting unbalanced linguistic preference relations to obtain a required consistency level

Y Dong, CC Li, F Herrera - Information Sciences, 2015 - Elsevier
In certain real decision-making situations, decision makers often feel more comfortable
providing their knowledge and preferences in linguistic terms. Unbalanced linguistic term …