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 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.