An involutive picture fuzzy negator on picture fuzzy sets and some De Morgan triples

摘要

A generalization of the Zadeh's fuzzy sets and Atanassov's intuitionistic fuzzy sets is the "Picture fuzzy set". This concept is effective in approaching problems relating to the information aggregation processes in decision making problems, for examples voting, financial forecasting, estimating risks in business, etc. This promotes vigorously the construction of the picture fuzzy theory: picture fuzzy operators on picture fuzzy sets, picture fuzzy logic. In this paper, we will give some properties of an involutive picture negator and some corresponding De Morgan fuzzy triples on picture fuzzy sets.