Computing with words and its relationships with fuzzistics
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
New geometric inference techniques for type-2 fuzzy sets
International Journal of Approximate Reasoning
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
Computing with words in decision making: foundations, trends and prospects
Fuzzy Optimization and Decision Making
IEEE Transactions on Fuzzy Systems
Comparative study of type-2 fuzzy sets and cloud model
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Journal of Mathematical Imaging and Vision
On interval type-2 rough fuzzy sets
Knowledge-Based Systems
On characterization of generalized interval type-2 fuzzy rough sets
Information Sciences: an International Journal
Overview of Type-2 Fuzzy Logic Systems
International Journal of Fuzzy System Applications
On type-2 fuzzy sets and their t-norm operations
Information Sciences: an International Journal
Uncertainty degree and modeling of interval type-2 fuzzy sets: Definition, method and application
Computers & Mathematics with Applications
On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
Fuzzy Sets and Systems
Some proportional 2-tuple geometric aggregation operators for linguistic decision making
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In Part 1 of this two-part paper, we bounded the centroid of a symmetric interval type-2 fuzzy set (T2 FS), and consequently its uncertainty, using geometric properties of its footprint of uncertainty (FOU). We then used these bounds to solve forward problems, i.e., to go from parametric interval T2 FS models to data. The main purpose of the present paper is to formulate and solve inverse problems, i.e., to go from uncertain data to parametric interval T2 FS models, which we call type-2 fuzzistics. Given interval data collected from people about a phrase, and the inherent uncertainties associated with that data, which can be described statistically using the first- and second-order statistics about the end-point data, we establish parametric FOUs such that their uncertainty bounds are directly connected to statistical uncertainty bounds. These results should find applicability in computing with words