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Keywords:
fuzzy connectives; uni-nullnorms; T-norms; T-conorms; nullnorms; uninorms; distributivity equation
fuzzy connectives; uni-nullnorms; T-norms; T-conorms; nullnorms; uninorms; distributivity equation
Summary:
A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distributivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uninorms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet been fully characterized.
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