Some Fuzzy Logic Operators for Picture Fuzzy Sets

A generalization of the Zadeh´s fuzzy sets and Antanassov´s intuitionistic fuzzy - "Picture fuzzy set" have defined in 2013. This concept is particularly effective in decision making problems, such as voting, solutions choice, financial forecasting, estimating risks in business, etc. This promotes vigorously the construction of the picture fuzzy theory: 1) picture fuzzy operators on picture fuzzy sets, 2) picture fuzzy relations, 3) picture fuzzy soft sets. In this paper, we have investigated main fuzzy logic operators: negations, conjunctions, disjunctions and implications on picture fuzzy sets. As combined with picture fuzzy operators by De Morgan triples, we have also constructed main operations for fuzzy inference processes in picture fuzzy systems.