YinYang Bipolar T-Norms and T-Conorms as Granular Neurological Operators

Document Type

Article

Publication Date

5-2006

Publication Title

2006 IEEE International Conference on Granular Computing

DOI

10.1109/GRC.2006.1635764

ISBN

978-1-5090-9177-5

Abstract

T-norms and T-conorms are extended from the classical unipolar fuzzy lattice 10,11 to the bipolar fuzzy lattice BF = [-1,0] x [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 nonlinear. It is shown that bipolar T-norms and T-conorms can be used as granular neurological operators with BUMP in neurological analysis and psychopharmacology.

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