The study on semicopula based implications

Title:

The study on semicopula based implications

Creator:

Peng, Zuming

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5b455885-eb1c-4060-a376-8c427f4c1ce4
uuid:5b455885-eb1c-4060-a376-8c427f4c1ce4
doi:10.14736/kyb-2020-4-0662

Subject:

semicopula, fuzzy implications, semicopula based implications, (U,N)-implications, and 2-increasing

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Recently, Baczyński et al. (2017) proposed a new family of implication operators called semicopula based implications, which combines a given a priori fuzzy implication and a semicopula. In this paper, firstly, the relationship between the basic properties of the priori fuzzy implication and the semicopula based implication are analyzed. Secondly, the conditions such that the semicopula based implication is a fuzzy implication are studied, the study is carried out mainly in the case that the semicopula is a special family semicopula and the priori fuzzy implication is a (U,N)-implication. Moreover, the case that the semicopula based implication is 2-increasing (directionally decreasing, respectively) is also considered.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

662-694

Source:

Kybernetika | 2020 Volume:56 | Number:4

Harvested from:

CDK

Metadata only:

false