KFU. Card publication. Contrast similarity measures of fuzzy sets.

KAZAN
FEDERAL UNIVERSITY

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CONTRAST SIMILARITY MEASURES OF FUZZY SETS.

Form of presentation

Articles in international journals and collections

Year of publication

2019

Язык

английский

Authors, employees of KFU

Kubysheva Nailya Iskhakovna, author

Other authors

Batyrshin Ildar , author

Kosheleva Olga , author

Kreinovich Vladik , author

Bibliographic description in the original language

Batyrshin, I., Kosheleva, O., Kreinovich, V., Kubysheva, N., & Akhtiamov, R. (2019). Contrast similarity measures of fuzzy sets. Computación y Sistemas, 23(4).

Annotation

The paper proposes a new class of fuzzy set similarity measures taking into account the proximity of membership values to the border values 0 and 1. These similarity measures take values in [0,1] and generalize the crisp weak equality relation of fuzzy sets considered in the theory of fuzzy sets. We present the method constructing a contrast similarity measure using a bipolar function symmetric with respect to 0.5. As a particular case, we consider the similarity measure defined by the contrast intensification operation considered by Lotfi Zadeh.

Keywords

Similarity measure, similarity function, fuzzy set.

The name of the journal

Computacion y Sistemas

URL

https://www.cys.cic.ipn.mx/ojs/index.php/CyS/article/view/3325/2743

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=244454&p_lang=2

Resource files

File name	Size (MB)	Format
F_Contrast_Similarity_Measures_of_Fuzzy_Sets.pdf	0,41	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kubysheva Nailya Iskhakovna	ru_RU
dc.contributor.author	Batyrshin Ildar	ru_RU
dc.contributor.author	Kosheleva Olga	ru_RU
dc.contributor.author	Kreinovich Vladik	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Batyrshin, I., Kosheleva, O., Kreinovich, V., Kubysheva, N., & Akhtiamov, R. (2019). Contrast similarity measures of fuzzy sets. Computación y Sistemas, 23(4).	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=244454&p_lang=2	ru_RU
dc.description.abstract	Computacion y Sistemas	ru_RU
dc.description.abstract	The paper proposes a new class of fuzzy set similarity measures taking into account the proximity of membership values to the border values 0 and 1. These similarity measures take values in [0,1] and generalize the crisp weak equality relation of fuzzy sets considered in the theory of fuzzy sets. We present the method constructing a contrast similarity measure using a bipolar function symmetric with respect to 0.5. As a particular case, we consider the similarity measure defined by the contrast intensification operation considered by Lotfi Zadeh.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Similarity measure	ru_RU
dc.subject	similarity function	ru_RU
dc.subject	fuzzy set.	ru_RU
dc.title	Contrast similarity measures of fuzzy sets.	ru_RU
dc.type	Articles in international journals and collections	ru_RU