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On Computing Normalized Interval Type-2 Fuzzy Sets
IEEE Transactions on Fuzzy Systems, 2014This paper explains how to compute normalized interval type-2 fuzzy sets in closed form and explains how the results reduce to well-known results for type-1 fuzzy sets and interval sets. Such normalized interval type-2 fuzzy sets may be needed in linguistic probability computa- tions or multiple criteria decision analysis under uncertainty. Index Terms—
Jerry M. Mendel, Mohammad Reza Rajati
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Fuzzy decision making systems based on interval type-2 fuzzy sets
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Shyi-ming, Wang, Cheng-yi
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Approximation of Fuzzy Sets by Interval Type-2 Trapezoidal Fuzzy Sets
IEEE Transactions on Cybernetics, 2020In this paper, we propose a gradient-based method to approximate a fuzzy set through a trapezoidal fuzzy set (TFS). By adding some constraints in the formulated optimization problem, the major characteristics of the fuzzy set such as the core, the major part of the support, and the shape of the membership function could be preserved; also the form of ...
Yinghua Shen +2 more
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On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Bao Qing, Wang, Chun Yong
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Interval type-2 fuzzy sets in psychological interventions
Proceedings of 2013 IEEE International Conference on Vehicular Electronics and Safety, 2013This paper presents a psychological intervention model through the mental health status and psychological intervention which are based on interval type-2 fuzzy sets. The studies are taken teachers' psychological health as example to analyze teachers' psychological health status as well as the linguistic dynamic orbits of teachers' psychological health ...
Zhanlin Wu, Hong Mo, Min Zhou, Dan Tan
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2015
In this paper, we introduce specific types of intuitionistic fuzzy sets, inspired by the multi-dimensional intuitionistic fuzzy sets and the General Type-2 fuzzy sets. The newly proposed sets extend the opportunities of the General Type-2 fuzzy sets when modelling of particular types of uncertainty.
Oscar Castillo +3 more
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In this paper, we introduce specific types of intuitionistic fuzzy sets, inspired by the multi-dimensional intuitionistic fuzzy sets and the General Type-2 fuzzy sets. The newly proposed sets extend the opportunities of the General Type-2 fuzzy sets when modelling of particular types of uncertainty.
Oscar Castillo +3 more
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Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces
2015The purpose of the present work is to establish a one-to-one cor- respondence between the family of interval type-2 fuzzy reexive/toleranc e approximation spaces and the family of interval type-2 fuzzy closure spaces.
Sharan, Shambhu +2 more
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Uncertainty measures for interval type-2 fuzzy sets
Information Sciences, 2007Based on the representation theorem for interval type-2 fuzzy sets, 4 types of new uncertainty measures are introduced and discussed, namely cardinality, fuzziness, variance and skewness. Note that the first uncertainty measures for this type of fuzzy sets, namely the centroid, was introduced already in [\textit{N. N. Karnik} and \textit{J. M. Mendel},
Wu, Dongrui, Mendel, Jerry M.
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Closed form fuzzy interpolation with interval type-2 fuzzy sets
2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014Fuzzy rule interpolation enables fuzzy inference with sparse rule bases by interpolating inference results, and may help to reduce system complexity by removing similar (often redundant) neighbouring rules. In particular, the recently proposed closed form fuzzy interpolation offers a unique approach which guarantees convex interpolated results in a ...
Longzhi Yang +4 more
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Fuzzy feature selection based on interval type-2 fuzzy sets
SPIE Proceedings, 2017When dealing with real world data; noise, complexity, dimensionality, uncertainty and irrelevance can lead to low performance and insignificant judgment. Fuzzy logic is a powerful tool for controlling conflicting attributes which can have similar effects and close meanings. In this paper, an interval type-2 fuzzy feature selection is presented as a new
Sahar Cherif +3 more
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