YinYang bipolar T-norms and T-conorms as granular neurological operators
Wen-Ran Zhang · 2006
T-norms and T-conorms are extended from the classical unipolar fuzzy lattice (0,1) to the bipolar fuzzy lattice BF = (-1,0) × (0,1). Bipolar universal modus ponens (BUMP) is introduced and extended to a norm-based granular version for equilibrium-based open-world dynamic reasoning. While classical T-norms and T-conorms can be considered unipolar and linear operators, their bipolar counterparts can be linear or non- linear. It is shown that bipolar T-norms and T-conorms can be used as granular neurological operators with BUMP in neurological analysis and psychopharmacology.