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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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Operations on type-2 fuzzy sets

Fuzzy Sets and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karnik, Nilesh N., Mendel, Jerry M.
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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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Revisiting fuzzy set operations: A rational approach for designing set operators for type-2 fuzzy sets and type-2 like fuzzy sets

Expert Systems with Applications, 2018
Abstract Created by Zadeh in 1965, Fuzzy Set Theory (FST) has been continuously developed in the past five decades and has established itself one of the preeminent approximate reasoning methodologies. In the literature, there exists multitudes of differing approaches for specifying FST's foundational building blocks (such as the various versions of ...
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Properties of type-2 fuzzy sets

2017 International Conference on Fuzzy Theory and Its Applications (iFUZZY), 2017
In the paper, new definition of type-2 fuzzy sets (T2 FSs) are introduced, and then some basic concepts such as unit fuzzy set, embedded unit fuzzy sets, closure of support (CoS), restriction of type-2 fuzzy set at a point, etc. and partition of CoS is given to represent general type-2 fuzzy sets, finally, the connections among the restriction of T2 ...
H. Mo, F.-Y. Wang
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