KFU. Card publication. Parametric Negations of Probability Distributions and Fuzzy Distribution Sets

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PARAMETRIC NEGATIONS OF PROBABILITY DISTRIBUTIONS AND FUZZY DISTRIBUTION SETS

Form of presentation

Articles in international journals and collections

Year of publication

2023

Язык

русский

Authors, employees of KFU

Kubysheva Nailya Iskhakovna, author

Other authors

Batyrshin Ildar , author

Ruda Imre , author

Bibliographic description in the original language

Batyrshin I., Rudas I., Kubysheva N. Parametric Negations of Probability Distributions and Fuzzy Distribution Sets. Computación y Sistemas, Vol. 27, No. 3, 2023, pp. 619–625

Annotation

Negation of probability distributions (PD) was initially introduced by Yager as a transformation of probability distributions representing linguistic terms like High Price, into probability distributions representing linguistic terms like Not High Price. Further, different negations of PD and formal definitions of negations of probability distributions have been proposed, and several classes of such negations have been studied. Here we give a new look at negators dependent and not dependent on probability distributions. We consider different parametric representations of linear negators and analyze relationships between the parameters of these representations. We introduce a new parametric negation of probability distributions based on the involutive negation of PD. Recently it was proposed to consider probability distributions as fuzzy distribution sets, which paved the way for the extension of many concepts and operations of fuzzy sets on probability distributions. From such a point of view, Yager's negation of probability distributions is an extension of the standard negation of fuzzy logic, also known as Zadeh's negation. In this paper, using this approach, we extend the parametric Yager's and Sugeno's negation of fuzzy logic on probability distributions and study their properties. Considered parametric negations of probability distributions can be used in the models of probabilistic reasoning.

Keywords

Probability distribution, fuzzy logic, negation, Yager?s negation, Zadeh?s negation, Sugeno?s negation

The name of the journal

Computación y Sistemas

URL

https://www.cys.cic.ipn.mx/ojs/index.php/CyS/article/view/4709/3599

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

https://repository.kpfu.ru/eng/?p_id=293458&p_lang=2

Resource files

File name	Size (MB)	Format
F_Parametric_Negations_of_Probability_Distributions_and_Fuzzy_Distribution_Sets.pdf	0,71	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	Ruda Imre	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	Batyrshin I., Rudas I., Kubysheva N. Parametric Negations of Probability Distributions and Fuzzy Distribution Sets. Computación y Sistemas, Vol. 27, No. 3, 2023, pp. 619–625	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=293458&p_lang=2	ru_RU
dc.description.abstract	Computación y Sistemas	ru_RU
dc.description.abstract	Negation of probability distributions (PD) was initially introduced by Yager as a transformation of probability distributions representing linguistic terms like High Price, into probability distributions representing linguistic terms like Not High Price. Further, different negations of PD and formal definitions of negations of probability distributions have been proposed, and several classes of such negations have been studied. Here we give a new look at negators dependent and not dependent on probability distributions. We consider different parametric representations of linear negators and analyze relationships between the parameters of these representations. We introduce a new parametric negation of probability distributions based on the involutive negation of PD. Recently it was proposed to consider probability distributions as fuzzy distribution sets, which paved the way for the extension of many concepts and operations of fuzzy sets on probability distributions. From such a point of view, Yager's negation of probability distributions is an extension of the standard negation of fuzzy logic, also known as Zadeh's negation. In this paper, using this approach, we extend the parametric Yager's and Sugeno's negation of fuzzy logic on probability distributions and study their properties. Considered parametric negations of probability distributions can be used in the models of probabilistic reasoning.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Probability distribution	ru_RU
dc.subject	fuzzy logic	ru_RU
dc.subject	negation	ru_RU
dc.subject	Yager?s negation	ru_RU
dc.subject	Zadeh?s negation	ru_RU
dc.subject	Sugeno?s negation	ru_RU
dc.title	Parametric Negations of Probability Distributions and Fuzzy Distribution Sets	ru_RU
dc.type	Articles in international journals and collections	ru_RU