Title :
The first and second order lattices in fuzzy logic
Author_Institution :
Dept. of Ind. Eng., Toronto Univ., Ont., Canada
Abstract :
The first and second order lattices in fuzzy logics are identified as generalization of the first and second order lattices in two-valued logic. In this context, the language of fuzzy theory are restated in order to show the flexibility gained by the relaxation of basic axioms of the two-valued logic. Example of knowledge representation are presented with Type I and Type II fuzzy sets and logics together with second order semantic uncertainty information contained within the boundaries of Type II fuzzy sets
Keywords :
fuzzy logic; fuzzy set theory; knowledge representation; multivalued logic; Type I fuzzy sets; Type II fuzzy sets; first order lattices; fuzzy logic; fuzzy theory; knowledge representation; second order lattices; second order semantic uncertainty information; two-valued logic; Fuzzy logic; Fuzzy sets; Industrial engineering; Instruments; Knowledge representation; Lattices; Measurement errors; Natural languages; Uncertainty;
Conference_Titel :
Systems, Man and Cybernetics, 1995. Intelligent Systems for the 21st Century., IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-2559-1
DOI :
10.1109/ICSMC.1995.538353
