Transformation and generalization of fuzzy implication using disjunction

In this paper a family of fuzzy implications is derived using the operation of disjunction repeatedly and a new methodology of generating fuzzy implications is proposed. The set of the related fuzzy implication axioms was considered in order to check, which of them are satisfied. A relation is found...

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Bibliographic Details
Main Authors: Daniilidou, Athina, Konguetsof, Avrilia, Souliotis, Georgios, Papadopoulos, Basil
Format: Conference Proceeding
Language:English
Subjects:
Axioms
Online Access:Get full text
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Summary:In this paper a family of fuzzy implications is derived using the operation of disjunction repeatedly and a new methodology of generating fuzzy implications is proposed. The set of the related fuzzy implication axioms was considered in order to check, which of them are satisfied. A relation is found and proven seeking the optimum number of repetitions according to the desired truth value of the implications. Finally, a large number of fuzzy implications was applied and compared using the data from temperature and humidity in a certain period of time. The proposed general formulae are verified by the computed results.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0193334