Distributivity of ordinal sum implications over overlap and grouping functions

Title:

Distributivity of ordinal sum implications over overlap and grouping functions

Creator:

Pan, Deng and Zhou, Hongjun

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cdfad2f7-0304-467c-b060-9d5318fe14c7
uuid:cdfad2f7-0304-467c-b060-9d5318fe14c7
doi:10.14736/kyb-2021-4-0647

Subject:

ordinal sum, distributivity, fuzzy implication functions, overlap functions, and grouping functions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In 2015, a new class of fuzzy implications, called ordinal sum implications, was proposed by Su et al. They then discussed the distributivity of such ordinal sum implications with respect to t-norms and t-conorms. In this paper, we continue the study of distributivity of such ordinal sum implications over two newly-born classes of aggregation operators, namely overlap and grouping functions, respectively. The main results of this paper are characterizations of the overlap and/or grouping function solutions to the four usual distributive equations of ordinal sum fuzzy implications. And then sufficient and necessary conditions for ordinal sum implications distributing over overlap and grouping functions are given.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

647-670

Source:

Kybernetika | 2021 Volume:57 | Number:4

Harvested from:

CDK

Metadata only:

false