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On interval type-2 rough fuzzy sets

Knowledge-Based Systems, 2012
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 ...
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An Entropy of Interval Type-2 Fuzzy Sets

Applied Mechanics and Materials, 2013
The entropy shows the fuzzy degree of a fuzzy set (FS) and can be used in various areas. Aiming at the characteristics of the fuzzy entropy and type-2 fuzzy sets (IT2 FSs), we introduce a new entropy of IT2 FSs in this paper. At first, we select an axiomatic definition for it.
Gao Zheng, Shi Wei Yin
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Embedded interval valued type-2 fuzzy sets

2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291), 2003
Type-2 fuzzy sets are growing in popularity as, for certain applications they model uncertainty and imprecision better than type-1 fuzzy sets. However, type-2 fuzzy sets can be difficult to understand and explain. Recent work has introduced embedded type-2 fuzzy sets and the representation theorem which enable us to discuss type-2 fuzzy sets in a ...
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Three-way decisions based on type-2 fuzzy sets and interval-valued type-2 fuzzy sets

Journal of Intelligent & Fuzzy Systems, 2016
This paper investigates three-way decisions of type-2 fuzzy sets and interval-valued type-2 fuzzy sets based on partially ordered sets. First, the partially ordered sets, constituted by fuzzy truth values and interval-valued fuzzy truth values, are established, respectively. They serve as the basic structures of three-way decision spaces.
Xiao, Yuan Chun   +2 more
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Fuzzy Interpolative Reasoning Using Interval Type-2 Fuzzy Sets

2008
In this paper, we present a new fuzzy interpolative reasoning method using interval type-2 fuzzy sets. We calculate the ranking values through the reference points and the heights of the upper and the lower membership functions of interval type-2 fuzzy sets.
Li-Wei Lee, Shyi-Ming Chen
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Interval Type-2 Fuzzy Set Reconstruction Based on Fuzzy Information-Theoretic Kernels

IEEE Transactions on Fuzzy Systems, 2015
This paper presents a universal methodology for generating an interval type-2 fuzzy set membership function from a collection of type-1 fuzzy sets. The key idea of the proposed methodology is to designate a specific type-1 fuzzy set as the representative of all input type-1 fuzzy sets.
Hooman Tahayori   +3 more
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Modeling capability of type-1 fuzzy set and interval type-2 fuzzy set

2012 IEEE International Conference on Fuzzy Systems, 2012
Fuzzy logic (FL) has been regarded as a useful methodology in modelling. The modeling performance of FL heavily relies on the modeling capability of a fuzzy set (FS). However, the MF of a FS cannot be arbitrarily accurate in practice and thus the centroid as a measure of a FS cannot be accurate to any degree.
null Maowen Nie, null Woei Wan Tan
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An Interval Approach to Fuzzistics for Interval Type-2 Fuzzy Sets

2007 IEEE International Fuzzy Systems Conference, 2007
In this paper, a new and simple approach, called interval approach, to type-2 fuzzistics is presented, one that captures the strong points of both the person-MF and interval end-points approaches. It uses interval end-point data that are collected from a group of subjects, assumes a probability distribution for each person's data and maps the mean and ...
Feilong Liu, Jerry M. Mendel
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Interval type-2 fuzzy c-means clustering using intuitionistic fuzzy sets

2013 Third World Congress on Information and Communication Technologies (WICT 2013), 2013
In this paper, intuitionistic interval type-2 fuzzy c-means clustering (InIT2FCM) method is proposed for the clustering problems. Intuitionistic fuzzy sets (IFS) and intuitionistic type-2 fuzzy sets (InIT2FS) were introduced with the aim to better handle the uncertainty.
Dzung Dinh Nguyen   +2 more
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Weighted fuzzy interpolative reasoning based on interval type-2 fuzzy sets

2008 International Conference on Machine Learning and Cybernetics, 2008
In this paper, we present a weighted fuzzy interpolative reasoning method for sparse fuzzy rule-based system based on interval type-2 fuzzy sets. Based on the ranking values of interval type-2 fuzzy sets, we present a weighted fuzzy interpolative reasoning method for sparse fuzzy rule-based systems.
null Li-Wei Lee, null Shyi-Ming Chen
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