Fuzzy weighted averages and implementation of the extension principle
Fuzzy Sets and Systems
A method for inference in approximate reasoning based on interval-valued fuzzy sets
Fuzzy Sets and Systems
An efficient algorithm for fuzzy weighted average
Fuzzy Sets and Systems
A fusion approach for managing multi-granularity linguistic term sets in decision making
Fuzzy Sets and Systems
Centroid of a type-2 fuzzy set
Information Sciences: an International Journal
Type 2 representation and reasoning for CWW
Fuzzy Sets and Systems - Special issue: Approximate Reasoning in Words
Information Sciences: an International Journal
Computing with words and its relationships with fuzzistics
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
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
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
Type-2 fuzzy Gaussian mixture models
Pattern Recognition
Information Sciences: an International Journal
Type-2 Fuzzy Logic: Theory and Applications
Type-2 Fuzzy Logic: Theory and Applications
Computing with Words: Zadeh, Turing, Popper and Occam
IEEE Computational Intelligence Magazine
Type-2 FLCs: A New Generation of Fuzzy Controllers
IEEE Computational Intelligence Magazine
Type-2 fuzzy sets and systems: an overview
IEEE Computational Intelligence Magazine
Implementing Interval Type-2 Fuzzy Processors [Developmental Tools]
IEEE Computational Intelligence Magazine
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On the retranslation process in Zadeh's paradigm of computing with words
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy logic = computing with words
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
IEEE Transactions on Fuzzy Systems
Computing with words via Turing machines: a formal approach
IEEE Transactions on Fuzzy Systems
Fuzzy control of a benchmark problem: a computing with words approach
IEEE Transactions on Fuzzy Systems
A new version of 2-tuple fuzzy linguistic representation model for computing with words
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
Geometric Type-1 and Type-2 Fuzzy Logic Systems
IEEE Transactions on Fuzzy Systems
Uncertain Fuzzy Clustering: Interval Type-2 Fuzzy Approach to C-Means
IEEE Transactions on Fuzzy Systems
Discrete Interval Type 2 Fuzzy System Models Using Uncertainty in Learning Parameters
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Symmetric Interval Type-2 Fuzzy Sets: Part 2, Inverse Problems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzistics for Nonsymmetric Interval Type-2 Fuzzy Sets: Forward Problems
IEEE Transactions on Fuzzy Systems
Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems
Aggregation Using the Fuzzy Weighted Average as Computed by the Karnik–Mendel Algorithms
IEEE Transactions on Fuzzy Systems
Type-2 Fuzzy Markov Random Fields and Their Application to Handwritten Chinese Character Recognition
IEEE Transactions on Fuzzy Systems
Encoding Words Into Interval Type-2 Fuzzy Sets Using an Interval Approach
IEEE Transactions on Fuzzy Systems
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
On the robustness of Type-1 and Interval Type-2 fuzzy logic systems in modeling
Information Sciences: an International Journal
Robustness of interval-valued fuzzy inference
Information Sciences: an International Journal
Study on enhanced Karnik-Mendel algorithms: Initialization explanations and computation improvements
Information Sciences: an International Journal
The sampling method of defuzzification for type-2 fuzzy sets: Experimental evaluation
Information Sciences: an International Journal
Managing logistics customer service under uncertainty: An integrative fuzzy Kano framework
Information Sciences: an International Journal
Overview of Type-2 Fuzzy Logic Systems
International Journal of Fuzzy System Applications
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This paper, which is tutorial in nature, demonstrates how the Embedded Sets Representation Theorem (RT) for a general type-2 fuzzy set (T2 FS), when specialized to an interval (I)T2 FS, can be used as the starting point to solve many diverse problems that involve IT2 FSs. The problems considered are: set theoretic operations, centroid, uncertainty measures, similarity, inference engine computations for Mamdani IT2 fuzzy logic systems, linguistic weighted average, person membership function approach to type-2 fuzzistics, and Interval Approach to type-2 fuzzistics. Each solution obtained from the RT is a structural solution but is not a practical computational solution, however, the latter are always found from the former. It is this author's recommendation that one should use the RT as a starting point whenever solving a new problem involving IT2 FSs because it has had such great success in solving so many such problems in the past, and it answers the question ''Where do I start in order to solve a new problem involving IT2 FSs?''