Basic properties of implicators in a residual framework

Rok, strany: 1999, 31 - 46

A general class of binary operators on the unit interval is considered. Typical members of this class are conjunctors. With each of these operators, three other binary operators are associated, of which, in some cases, one can be considered as a conjunctor and the two others as implicators. The most important of these operators is the residual operator. In this paper, these associated operators are studied in detail, identifying necessary and sufficient conditions to be imposed on a given operator to ensure a certain property of one of its associated operators. In particular, properties as the neutrality principle, contrapositivity and the exchange principle are investigated.

ISO 690:

Demirli, K., De Baets, B. 1999. Basic properties of implicators in a residual framework. In Tatra Mountains Mathematical Publications, vol. 16, no.1, pp. 31-46. 1210-3195.

APA:

Demirli, K., De Baets, B. (1999). Basic properties of implicators in a residual framework. Tatra Mountains Mathematical Publications, 16(1), 31-46. 1210-3195.