Abstract
Yager's f-generated implication is one important class of fuzzy implication, which is based on additive generators of continuous Archimedean t-norms. Considering the related interval extension, this paper presents an analysis of interval fuzzy implications derived from interval additive generators of interval t-norms, called F-generated interval fuzzy implications. The relationship between Yager's f-generated implications and F-generated interval fuzzy implications is discussed. Then We study the basic properties of F-generated interval fuzzy implications and discuss some general forms of classical logic tautologies (i.e. law of importation, contrapositive symmetry, and distributivity over interval t-norms or interval t-conorms). Meanwhile, the relationships between F-generated interval fuzzy implications and several families of interval fuzzy implications are obtained.
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