Application of fuzzy sets of type 2 to the solution of fuzzy equation systems
Fuzzy Sets and Systems
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Applications of type-2 fuzzy logic systems to forecasting of time-series
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
Information Sciences—Informatics and Computer Science: An International Journal
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Constructive and axiomatic approaches of fuzzy approximation operators
Information Sciences—Informatics and Computer Science: An International Journal - Mining stream data
Pattern recognition using type-II fuzzy sets
Information Sciences—Informatics and Computer Science: An International Journal
Correlation coefficient for type-2 fuzzy sets: Research Articles
International Journal of Intelligent Systems
On Three Types of Covering-Based Rough Sets
IEEE Transactions on Knowledge and Data Engineering
Uncertainty measures for interval type-2 fuzzy sets
Information Sciences: an International Journal
A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets
Information Sciences: an International Journal
Fuzzy rough set theory for the interval-valued fuzzy information systems
Information Sciences: an International Journal
Generalized fuzzy rough approximation operators based on fuzzy coverings
International Journal of Approximate Reasoning
On fuzzy approximation operators in attribute reduction with fuzzy rough sets
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
An interval type-2 fuzzy rough set model for attribute reduction
IEEE Transactions on Fuzzy Systems
New approaches to fuzzy-rough feature selection
IEEE Transactions on Fuzzy Systems
Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method
Expert Systems with Applications: An International Journal
Interval type-2 fuzzy logic congestion control for video streaming across IP networks
IEEE Transactions on Fuzzy Systems
Rough set theory based on two universal sets and its applications
Knowledge-Based Systems
Fuzzy preference based rough sets
Information Sciences: an International Journal
Invertible approximation operators of generalized rough sets and fuzzy rough sets
Information Sciences: an International Journal
An Interval Type-2 Fuzzy multiple echelon supply chain model
Knowledge-Based Systems
Approximation reduction in inconsistent incomplete decision tables
Knowledge-Based Systems
A type-2 fuzzy ontology and its application to personal diabetic-diet recommendation
IEEE Transactions on Fuzzy Systems
Approaches to attribute reduction in concept lattices induced by axialities
Knowledge-Based Systems
A rough set approach to feature selection based on power set tree
Knowledge-Based Systems
Fuzzy rough set based attribute reduction for information systems with fuzzy decisions
Knowledge-Based Systems
A vague-rough set approach for uncertain knowledge acquisition
Knowledge-Based Systems
Neighborhood systems-based rough sets in incomplete information system
Knowledge-Based Systems
Multi knowledge based rough approximations and applications
Knowledge-Based Systems
Semantic Web search based on rough sets and Fuzzy Formal Concept Analysis
Knowledge-Based Systems
Transformation of bipolar fuzzy rough set models
Knowledge-Based Systems
Multi-attribute group decision making models under interval type-2 fuzzy environment
Knowledge-Based Systems
Interval type-2 fuzzy logic systems: theory and design
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Type-2 fuzzy hidden Markov models and their application to speech recognition
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 1, Forward Problems
IEEE Transactions on Fuzzy Systems
Interval Type-2 Fuzzy Logic Systems Made Simple
IEEE Transactions on Fuzzy Systems
Fuzzy-Rough Sets Assisted Attribute Selection
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 2, Inverse Problems
IEEE Transactions on Fuzzy Systems
Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Attributes Reduction Using Fuzzy Rough Sets
IEEE Transactions on Fuzzy Systems
Bipolar fuzzy rough set model on two different universes and its application
Knowledge-Based Systems
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In this paper, we present a general framework for the study of interval type-2 rough fuzzy sets by using both constructive and axiomatic approaches. First, several concepts and properties of interval type-2 fuzzy sets are introduced. Then, a pair of lower and upper interval type-2 rough fuzzy approximation operators with respect to a crisp binary relation is proposed. Classical representations of the interval type-2 rough fuzzy approximation operators are then constructed, and the connections between the special binary relations and the interval type-2 rough fuzzy approximation operators are investigated. Furthermore, an operator-oriented characterization of interval type-2 rough fuzzy sets is proposed; that is, interval type-2 rough fuzzy approximation operators are characterized by axioms. Different axiom sets of interval type-2 fuzzy set-theoretic operators guarantee the existence of different types of crisp binary relations, which produce the same operators. Furthermore, the relationship between interval type-2 rough fuzzy sets and interval type-2 fuzzy topological spaces is obtained. The sufficient and necessary condition for the conjecture that an interval type-2 fuzzy interior (closure) operator derived from an interval type-2 fuzzy topological space can be associated with a reflexive and transitive binary relation such that the corresponding lower (upper) interval type-2 rough fuzzy approximation operator is the interval type-2 fuzzy interior (closure) operator is examined. Finally, we provide a practical application to illustrate the usefulness of the interval type-2 rough fuzzy sets model.