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Shadowed Type-2 Fuzzy Sets -Type-2 Fuzzy Sets with shadowed secondary membership functions

2012 IEEE International Conference on Fuzzy Systems, 2012
General Type-2 Fuzzy Sets (GT2 FSs) have been originally proposed to allow for modeling uncertainty associated with the membership grades of Type-1 (T1) FSs. However, because of the computational complexity associated with the processing of GT2 FSs, only their constrained version, the Interval T2 (IT2) FSs, have been widely used.
Ondrej Linda, Milos Manic
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Centroid of a type-2 fuzzy set

Information Sciences, 2001
The authors, continuing their previous papers, define the centroid and the generalized centroid of a type-2 fuzzy set and show how to compute them, making use of the product t-norm for practical purpose. In general these computations are highly intensive, but the authors prove that, in the case of interval type-2 fuzzy sets, these procedures are very ...
Karnik, Nilesh N., Mendel, Jerry M.
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Geometric Type-2 Fuzzy Sets

2013
This chapter gives a review and technical overview of the geometric representation of a type-2 fuzzy set and explores logical operators used to manipulate this representation. Geometric fuzzy logic provides a distinct way of understanding a fuzzy system, where fuzzy sets and fuzzy logic operators are seen purely as geometric objects which are ...
Simon Coupland, Robert John
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Sine-square embedded fuzzy sets versus type-2 fuzzy sets

Advanced Engineering Informatics, 2018
Abstract The uncertainty is an inherent part of real-world applications. Type-2 fuzzy sets minimize the effects of uncertainties that cannot be modeled using type-1 fuzzy sets. However, the computational complexity of the type-2 fuzzy sets is very high and it is more difficult than type-1 fuzzy sets to use and understand.
Mehmet Karakose, Hasan Yetis, Erhan Akin
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Concave type-2 fuzzy sets: properties and operations

Soft Computing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Tahayori   +4 more
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On type-2 fuzzy relations and interval-valued type-2 fuzzy sets

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Bao Qing, Wang, Chun Yong
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Hedge Algebraic Type-2 Fuzzy Sets

International Conference on Fuzzy Systems, 2010
In this paper, we propose a new class of type-2 fuzzy sets: Hedge Algebraic Type-2 Fuzzy Sets — HaT2FS. The particular feature of HaT2FS is that the membership grades of each element are linguistic truth values of hedge algebras. We consider some important aspects of this class of type-2 fuzzy sets: operations on linguistic truth values including ...
Tran Dinh Khang   +3 more
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Type-2 Fuzzy Sets

2017
This chapter formally introduces type-2 fuzzy sets and is the backbone for the rest of this book. It includes a lot of new terminologies. Coverage includes: the concept of a type-2 fuzzy set, definitions of general type-2 fuzzy sets and associated concepts, definitions of interval type-2 fuzzy sets and associated concepts, examples of two popular ...
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Equations in Type-2 Fuzzy Sets

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2015
The main concern of this paper is with the equations satisfied by the algebra of truth values of type-2 fuzzy sets. That algebra has elements all mappings from the unit interval into itself with operations given by certain convolutions of operations on the unit interval. There are a number of positive results.
John Harding   +2 more
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Negations on type-2 fuzzy sets

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernández, Pablo   +2 more
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