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Open AccessThree-way decisions in generalized intuitionistic fuzzy environments: survey and challenges
Enhancing decision-making under risks is crucial in various fields, and three-way decision (3WD) methods have been extensively utilized and proven to be effective in numerous scenarios. However, traditional me...
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Article
MBSSA-Bi-AESN: Classification prediction of bi-directional adaptive echo state network based on modified binary salp swarm algorithm and feature selection
In the era of big data, the demand for multivariate time series prediction has surged, drawing increased attention to feature selection and neural networks in machine learning. However, certain feature selecti...
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Article
Open AccessA new multi-attribute decision making approach based on new score function and hybrid weighted score measure in interval-valued Fermatean fuzzy environment
Interval-valued Fermatean fuzzy sets (IVFFSs) were introduced as a more effective mathematical tool for handling uncertain information in 2021. In this paper, firstly, a novel score function (SCF) is proposed ...
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Article
A novel prospect-theory-based three-way decision methodology in multi-scale information systems
In an uncertain and complex decision-making environment, limited by the scope of human cognition, traditional utility decision-making has a certain deviation to actual decision-making. The revision of behavior...
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Article
A three-way decision method with tolerance dominance relations in decision information systems
In recent years, various medical diagnosis problems have been addressed from the perspective of multi-attribute decision making. Among them, the three-way decision theory can provide a novel scheme to solve me...
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Article
3WC-D: A feature distribution-based adaptive three-way clustering method
Clustering is a significant unsupervised learning method in the machine learning field, which can mine the distribution pattern and attribute of data. However, traditional clustering methods can not fully repr...
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Article
A novel group decision-making approach in multi-scale environments
With the increasing complexity of real decision-making problems, some experts try to use multi-scale information to express expert opinions in group decision-making problems. Facing the problem of group decisi...
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Article
Another view on knowledge measures in atanassov intuitionistic fuzzy sets
Information quantification in numerical form for any given data is very useful in decision-making problems. In Atanassov intuitionistic fuzzy sets (A-IFSs), such quantification becomes more important due to un...
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Article
Thermal fatigue behavior of 441 ferritic stainless steel in air and synthetic automotive exhaust gas
The thermal fatigue behavior of 441 ferritic stainless steel was investigated in air and synthetic automotive exhaust gas by the cyclic tests under 100°C–800°C and 900°C conditions. After the fracture failure,...
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Article
A study on the method of quality control by restraining the influence of curvature in curved surface polishing
This paper proposes a method of quality for the uneven removal caused by the change of the radius of curvature in the aspheric surface polishing and finishing. This method uses a polishing disk and a bonnet as...
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Article
Covering-based variable precision L-fuzzy rough sets based on residuated lattices and corresponding applications
There are many extensions of Pawlak’s rough sets. Particularly, fuzzy rough set theory based on residuated lattices is considered as one of the generalizations that extends the truth values to lattices. In thi...
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Article
Measures of Uncertainty Based on Gaussian Kernel for Type-2 Fuzzy Information Systems
In data processing, measurement of uncertainty is one of the significant evaluation tools, which can describe the uncertainty essence of data. So far, there are few measurable tools to study the uncertainty of...
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Article
L-fuzzifying approximation operators derived from general L-fuzzifying neighborhood systems
For a completely distributive De Morgan algebra L, we develop a general framework of L-fuzzy rough sets. Said precisely, we introduce a pair of L-fuzzy approximation operators, called upper and lower L-fuzzifying...
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Article
PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods
The model of covering-based fuzzy rough sets (CFRSs) can be regarded as a hybrid one by combining covering-based rough sets with fuzzy sets. In this paper, based on fuzzy neighborhoods, we propose two types of...
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Article
Novel classes of coverings based multigranulation fuzzy rough sets and corresponding applications to multiple attribute group decision-making
The notion of covering based multigranulation fuzzy rough set (CMGFRS) models is a generalization of both granular computing and covering based fuzzy rough sets. Therefore it has become a powerful tool for cop...
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Article
An MADM approach to covering-based variable precision fuzzy rough sets: an application to medical diagnosis
In medical diagnosis, how to select an optimal medicine from some medicines with similar efficacy values to treat diseases has become common problems between doctors and patients. To solve this problem, we des...
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Article
Multi-granular soft rough covering sets
This paper presents a novel model that combines several interesting features in relation with rough sets, namely multi-granularity (which extends Pawlak’s single-granular approach), soft rough sets (where the ...
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Article
Covering based multigranulation fuzzy rough sets and corresponding applications
By combining covering based rough sets, fuzzy rough sets, and multigranulation rough sets, we introduce covering based multigranulation fuzzy rough set models by means of fuzzy \(\beta \)β-neighborhoods. We inves...
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Article
Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making
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 rough sets, we introduce th...
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Article
Two types of coverings based multigranulation rough fuzzy sets and applications to decision making
Covering based multigranulation rough fuzzy set, as a generalization of granular computing and covering based rough fuzzy set theory, is a vital tool for dealing with the vagueness and multigranularity in arti...