On three perspectives for deriving three-way decision with linguistic intuitionistic fuzzy information

J Liu, J Mai, H Li, B Huang, Y Liu - Information Sciences, 2022 - Elsevier
The determination of both thresholds in decision-theoretic rough sets is an important
problem of study that has aroused widespread attention in recent years. Although many …

Deriving three-way decisions from intuitionistic fuzzy decision-theoretic rough sets

D Liang, D Liu - Information Sciences, 2015 - Elsevier
Three-way decisions with decision-theoretic rough sets (DTRSs) provide a new
methodology to confront risk decision problems. The risk is associated with the loss function …

Optimization-based three-way decisions with interval-valued intuitionistic fuzzy information

J Liu, B Huang, H Li, X Bu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Due to the effectiveness and advantages of interval-valued intuitionistic fuzzy sets (IVIFSs) in
evaluating uncertainty and risk, we introduce IVIFSs into loss functions of decision-theoretic …

Three-way decisions with intuitionistic fuzzy decision-theoretic rough sets based on point operators

D Liang, Z Xu, D Liu - Information Sciences, 2017 - Elsevier
Three-way decisions with decision-theoretic rough sets (DTRSs) as a typical risk decision
method, are generated by Bayesian decision theory and have three kinds of decision …

[HTML][HTML] Extension of the TODIM method to intuitionistic linguistic multiple attribute decision making

S Wang, J Liu - Symmetry, 2017 - mdpi.com
Practical decision situations are becoming increasingly complicated. It is common for a
person to select or rank alternatives with respect to multiple attributes, and the TODIM (an …

Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making

J Zhan, B Sun - Artificial Intelligence Review, 2020 - Springer
Covering based intuitionistic fuzzy (IF) rough set is a generalization of granular computing
and covering based rough sets. By combining covering based rough sets, IF sets and fuzzy …

An optimization-based formulation for three-way decisions

J Liu, H Li, X Zhou, B Huang, T Wang - Information sciences, 2019 - Elsevier
Three-way decisions were originally derived from decision-theoretic rough sets (DTRSs). A
fundamental and important problem on DTRSs operating in multiple environments is how to …

Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information

D Liang, Z Xu, D Liu, Y Wu - Information Sciences, 2018 - Elsevier
Pythagorean fuzzy sets (PFSs) as a new generalization of intuitionistic fuzzy sets (IFSs) can
effectively handle uncertain information more flexibly in the process of decision making. As a …

[HTML][HTML] A dominance intuitionistic fuzzy-rough set approach and its applications

B Huang, YL Zhuang, HX Li, DK Wei - Applied Mathematical Modelling, 2013 - Elsevier
Although the rough set and intuitionistic fuzzy set both capture the same notion, imprecision,
studies on the combination of these two theories are rare. Rule extraction is an important …

A sequential three-way decision model with intuitionistic fuzzy numbers

Q Zhang, C Yang, G Wang - IEEE transactions on systems, man …, 2019 - ieeexplore.ieee.org
Three-way decision model (3WDM) with decision-theoretical rough sets (DTRSs) always
addresses precise cost parameters and precise attribute values in uncertain problem …