Generalizing Leximin to t-norms and t-conorms: the LexiT and LexiS orderings

The Leximin procedure, introduced by Dubois and Prade in 1996, provides a methodology for adjudicating ties in aggregated values when using the min t-norm. Here, with the introduction of the LexiT procedure, we generalize these ideas to provide a tool for adjudicating ties when aggregating data using any t-norm. We then provide the LexiS procedure for adjudicating ties when aggregating arguments using t-conorms.