Title :
The square root of not: Geometric, permutation, and matrix representations
Author :
Wierman, Mark J.
Author_Institution :
Comput. Sci., Creighton Univ., Omaha, NE, USA
Abstract :
Fuzzy logic allows for logical operators that are completely different from those of Boolean logic. This paper examines functions that compose with themselves to produce negation. This paper examines three types of tools that allow us to analyze this, and similar questions about fuzzy logic.
Keywords :
Boolean functions; fuzzy logic; geometry; matrix algebra; Boolean logic; fuzzy logic; geometric representation; logical operators; matrix representation; permutation representation; Boolean functions; Equations; Fuzzy logic; Information processing; Linearity; Pulse inverters; Quantum mechanics; Functional Equations; Fuzzy Logic; Negation;
Conference_Titel :
Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American
Conference_Location :
Cincinnati, OH
Print_ISBN :
978-1-4244-4575-2
Electronic_ISBN :
978-1-4244-4577-6
DOI :
10.1109/NAFIPS.2009.5156437
