Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Generalization of an invertible mapping between probability and possibility
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Principles of uncertainty: what are they? Why do we need them?
Fuzzy Sets and Systems - Special issue on nuclear engineering
Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Fuzzy Sets and Systems
The uncertain reasoner's companion: a mathematical perspective
The uncertain reasoner's companion: a mathematical perspective
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems
Cardinality concepts for type-two fuzzy sets
Fuzzy Sets and Systems
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
Similarity and compatibility in fuzzy set theory: assessment and applications
Similarity and compatibility in fuzzy set theory: assessment and applications
A fuzzy sets based linguistic approach: Theory and applications
WSC '80 Proceedings of the 12th conference on Winter simulation
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Genetic learning and performance evaluation of interval type-2 fuzzy logic controllers
Engineering Applications of Artificial Intelligence
Information Sciences: an International Journal
Experimental study of intelligent controllers under uncertainty using type-1 and type-2 fuzzy logic
Information Sciences: an International Journal
Web shopping expert using new interval type-2 fuzzy reasoning
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Web intelligence and change discovery
A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets
Information Sciences: an International Journal
Relationship between similarity measure and entropy of interval valued fuzzy sets
Fuzzy Sets and Systems
Elements of the type-2 semantics in summarizing databases
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
Type-2 FLCs: A New Generation of Fuzzy Controllers
IEEE Computational Intelligence Magazine
Uncertain Fuzzy Clustering: Insights and Recommendations
IEEE Computational Intelligence Magazine
IEEE Transactions on Fuzzy Systems
Type-2 fuzzy hidden Markov models and their application to speech recognition
IEEE Transactions on Fuzzy Systems
Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Design of interval type-2 fuzzy sliding-mode controller
Information Sciences: an International Journal
A note on information entropy measures for vague sets and its applications
Information Sciences: an International Journal
Imprecision Measures for Type-2 Fuzzy Sets: Applications to Linguistic Summarization of Databases
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Information Sciences: an International Journal
Information Sciences: an International Journal
The collapsing method of defuzzification for discretised interval type-2 fuzzy sets
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
Information Sciences: an International Journal
Information Sciences: an International Journal
Enhanced Karnik-Mendel algorithms
IEEE Transactions on Fuzzy Systems
Historical reflections and new positions on perceptual computing
Fuzzy Optimization and Decision Making
On interval fuzzy S-implications
Information Sciences: an International Journal
Non-specificity measures for type-2 fuzzy sets
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Uncertainty measures for general type-2 fuzzy sets
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
On the robustness of type-1 and type-2 fuzzy tests vs. ANOVA tests on means
ICIC'09 Proceedings of the Intelligent computing 5th international conference on Emerging intelligent computing technology and applications
A new integrated design concept evaluation approach based on vague sets
Expert Systems with Applications: An International Journal
Computing with words for hierarchical decision making applied to evaluating a weapon system
IEEE Transactions on Fuzzy Systems - Special section on computing with words
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Information Sciences: an International Journal
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Information Sciences: an International Journal
Uncertainty measures for general Type-2 fuzzy sets
Information Sciences: an International Journal
Interval Type-2 fuzzy voter design for fault tolerant systems
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Expert Systems with Applications: An International Journal
Study on enhanced Karnik-Mendel algorithms: Initialization explanations and computation improvements
Information Sciences: an International Journal
The relationship between similarity measure and entropy of intuitionistic fuzzy sets
Information Sciences: an International Journal
Information Sciences: an International Journal
On interval type-2 rough fuzzy sets
Knowledge-Based Systems
Information Sciences: an International Journal
Overview of Type-2 Fuzzy Logic Systems
International Journal of Fuzzy System Applications
Residual implications on the set of discrete fuzzy numbers
Information Sciences: an International Journal
Fixed charge transportation problem with type-2 fuzzy variables
Information Sciences: an International Journal
Uncertainty degree and modeling of interval type-2 fuzzy sets: Definition, method and application
Computers & Mathematics with Applications
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process
Expert Systems with Applications: An International Journal
International Journal of Hybrid Intelligent Systems
Soft computing-based preference selection index method for human resource management
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Fuzziness (entropy) is a commonly used measure of uncertainty for type-1 fuzzy sets. For interval type-2 fuzzy sets (IT2 FSs), centroid, cardinality, fuzziness, variance and skewness are all measures of uncertainties. The centroid of an IT2 FS has been defined by Karnik and Mendel. In this paper, the other four concepts are defined. All definitions use a Representation Theorem for IT2 FSs. Formulas for computing the cardinality, fuzziness, variance and skewness of an IT2 FS are derived. These definitions should be useful in IT2 fuzzy logic systems design using the principles of uncertainty, and in measuring the similarity between two IT2 FSs.