Title :
Normal forms and truth tables for interval-valued fuzzy logic
Author :
Gehrke, Mai ; Walker, Carol ; Walker, Elbert
Author_Institution :
Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA
Abstract :
In this paper, we provide normal forms and truth tables for interval-valued fuzzy logic which are analogous to those for classical logic, i.e. analogous to the disjunctive and conjunctive normal forms and truth tables for Boolean algebras. We give an algorithm for rewriting an expression to obtain its disjunctive normal form. We also give an algorithm for obtaining the disjunctive normal form of an expression from its table of truth values
Keywords :
Boolean algebra; fuzzy logic; Boolean algebras; conjunctive normal form; disjunctive normal form; expression rewriting; interval-valued fuzzy logic; truth tables; truth values; Boolean algebra; Fuzzy logic; Fuzzy sets; Lattices; Logic functions; Mathematics; Polynomials;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.943740
