Algorithms to Compute The Demonic Transitive Closure of Fuzzy Relations Using Demonic Operators

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International Journal of Informatics and Applied Mathematics
Volume:5 Issue:2
Algorithms to Compute The Demonic Transitive Closure of Fuzzy Relations Using Demonic Operators

Algorithms to Compute The Demonic Transitive Closure of Fuzzy Relations Using Demonic Operators

Authors : Nouf ALABDULKARİM, Fairouz TCHİER

Pages : 41-47

Doi:10.53508/ijiam.1210899

View : 54 | Download : 11

Publication Date : 2023-01-16

Article Type : Research Paper

Abstract :In this paper, we investigate the demonic transitive closure of fuzzy relations in the sense of demonic operators. To address this, we focus on the demonic order refinement of fuzzy relations, which has a special treatment associated with the membership function of fuzzy relations. We look closely at the transitive closure of fuzzy relations with the use of angelic operators insert ignore into journalissuearticles values(the usual operators ∪, ∩ and ◦); and reform it by applying the demonic operators insert ignore into journalissuearticles values(˜⊔, ˜⊓ and ˜□ );. In order to carry out this task, we adopt existing algorithms and reformulate them in the means of demonic operators.
Keywords : Transitive Closure, Demonic Transitive Closure, Demonic Fuzzy Operators, Demonic Fuzzy Operators

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