Interval intuitionistic fuzzy-valued Sugeno integral

Liu, Yongsheng; Kong, Zhaojun

doi:10.1109/fskd.2012.6233714

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…in [15] the Choquet and Sugeno integrals and intuitionistic fuzzy integrals as aggregation operators are presented. in [12] the concepts of interval fuzzy-valued, intuitionistic fuzzy-valued and interval intuitionistic fuzzy-valued Sugeno integrals was introduced. For this reason, it is interesting to carry out the implementation of the Sugeno integral as aggregation operator of a modular neuronal network using intuitionist fuzzy logic to use the degrees of membership and degrees of non-membership using the Cropped Yale database.…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Sugeno Integral for Face Recognition

Martínez

Melín

2020

Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

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In this paper, an extension of the Sugeno integral using the operators of the intuitionistic fuzzy sets is presented. The proposed method consists of using the Sugeno integral as an integration method of multiple information sources using the degrees of membership and non-membership through the application of the operators of the intuitionistic fuzzy sets. The proposed method is used to combine the modules output of a modular neural network for face recognition. In this paper, the focus is on aggregation operator that use measures with intuitionistic fuzzy sets, in particular the Sugeno integral. The performance of the proposed method is compared with the traditional Sugeno integral using the Cropped Yale database.

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Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Sugeno Integral for Face Recognition

Martínez

Melín

2020

Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

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“…In [13] a comparison between Choquet and Sugeno integrals as aggregation operators for pattern recognition is presented; also in [21] the Sugeno integral is used for building the Sugeno based mean value for some specific fuzzy quantities. On the other hand, the intuitionistic fuzzy sets have had a great boom in recent years [2][3][4]; in [12] the concepts of interval fuzzy-valued, intuitionistic fuzzy-valued and interval intuitionistic fuzzyvalued Sugeno integrals was introduced; in [15] the Choquet and Sugeno integrals and intuitionistic fuzzy integrals as aggregation operators are presented. In [11] the theories of intuitionistic fuzzy sets and artificial neural networks are combined for intrusion detection.…”

Section: Introductionmentioning

confidence: 99%

“…In [12] it is shown that the intuitionistic fuzzy-valued Sugeno integrals are mathematically equivalent to the interval fuzzy-valued Sugeno integrals. So it is of great interest to be able to carry out the implementation of the Sugeno integral using intuitionist fuzzy logic to implement the degrees of membership and degrees of non-membership as a method of integration of responses of a modular neuronal network, applied to facial recognition, particularly in the ORL database.…”

Section: Introductionmentioning

confidence: 99%

A new approach for an intuitionistic fuzzy Sugeno integral for decision making

Martínez¹,

Melín²,

Castillo³

2019

NIFS

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In this paper, an extension of the Sugeno integral using intuitionistic fuzzy sets is presented. The proposed method enables the calculation of the Sugeno integral for combining multiple source of information with a degree of membership and non-membership using intuitionistic fuzzy sets. The proposed method is used as aggregation operator to combine the modules output of a modular neural network for face recognition. In this paper, the focus is on aggregation operator that use measures with intuitionistic fuzzy sets, in particular the Sugeno integral. The performance of the proposed method is compared with other aggregation operators, such as the traditional Sugeno integral using the ORL database.

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