Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations

G Zhang, Y Dong, Y Xu - Expert systems with applications, 2012 - Elsevier
… making (GDM) based on fuzzy preference relations, and includes two subproblems: …
linear optimization models for solving some issues on consistency of fuzzy preference relations

The optimization ordering model for intuitionistic fuzzy preference relations with utility functions

Z Gong, N Zhang, F Chiclana - Knowledge-Based Systems, 2018 - Elsevier
… of ranking intuitionistic fuzzy preference relations (IFPRs) based on various non-linear utility
… interval-value fuzzy preference relations (IVFPRs), and utilise non-linear utility functions, …

A two-stage linear goal programming approach to eliciting interval weights from additive interval fuzzy preference relations

ZJ Wang - Soft Computing, 2016 - Springer
… The first stage devises a linear goal programming model to generate optimal interval
weight vectors by minimizing the absolute deviation between sides of the parameterized …

Consistency and consensus modeling of linear uncertain preference relations

Z Gong, W Guo, E Herrera-Viedma, Z Gong… - European Journal of …, 2020 - Elsevier
fuzzy preference relations (IFPRs). In this paper, we resolve this difficulty by constructing
linear uncertain preference relations (… the concept of uncertain preference relations (UPRs) for …

MAGDM linear-programming models with distinct uncertain preference structures

ZS Xu, J Chen - IEEE Transactions on Systems, Man, and …, 2008 - ieeexplore.ieee.org
… Similar to the definition of consistent interval fuzzy preference relation, we define the following.
Let C = (cij)n×n be an intuitionistic preference relation, where cij = (μij,vij), for all i, j = 1, 2,..…

[HTML][HTML] Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations

ZJ Wang - Applied Mathematical Modelling, 2013 - Elsevier
linear goal programming models for deriving intuitionistic fuzzy weights from intuitionistic
fuzzy preference relations. … transitivity for intuitionistic fuzzy preference relations, followed by a …

A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations

ZP Fan, J Ma, YP Jiang, YH Sun, L Ma - European Journal of Operational …, 2006 - Elsevier
… ) problems where the preference information on alternatives … preference relations and fuzzy
preference relations. In order to … s opinion, a linear goal programming model is constructed to …

H-rank consensus models for fuzzy preference relations considering eliminating rank violations

J Tu, Z Wu - IEEE Transactions on Fuzzy Systems, 2021 - ieeexplore.ieee.org
… To overcome these problems, this article develops several optimization models to address
rank violations and h-rank consensus issues. First, the conditions that satisfy the FPRs’ …

Goal programming models with linear and exponential fuzzy preference relations

MF Khan, MG Hasan, A Quddoos, A Fügenschuh… - Symmetry, 2020 - mdpi.com
… proposes standard goal programming models for multi-objective decision-making, where …
four standard goal programming models with fuzzy preference relations (SGP-PR). Model 1 is …

Existence and simulation of multiple solutions to an optimization model for completing incomplete fuzzy preference relations

J Zhang, F Liu, Z Liu, IJ Pérez, FJ Cabrerizo - Applied Intelligence, 2024 - Springer
… in an incomplete fuzzy preference relation. The idea of … fuzzy preference relation should
be adjusted to a weakly transitive matrix. Second, multiple solutions to the optimization model