To investigate more reasonable fuzzy reasoning model in expert systems as well as more effective logical circuit in fuzzy control, a (T, ⊥, N) fuzzy logic is proposed in this paper by using T-norm, ⊥-norm and pseudo-complement N as the logical connectives. Two aspects are discussed: (1) some concepts of (T, ⊥, N) fuzzy logic are introduced and some properties of (T, ⊥, N) fuzzy logical formulae are discussed. (2) G-fuzzy truth (falsity) of (T, ⊥, N) fuzzy logical formulae are investigated and also the relation between the Boolean truth (falsity) of ⊥-normal forms (T-normal forms) and the G-fuzzy truth (falsity) of them are analyzed.
@article{urn:eudml:doc:39213,
title = {(T, [?], N) fuzzy logic.},
journal = {Mathware and Soft Computing},
volume = {8},
year = {2001},
pages = {71-82},
zbl = {0993.03029},
mrnumber = {MR1873158},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39213}
}
Xu, Y.; Lin, J.; Ruan, Da. (T, ⊥, N) fuzzy logic.. Mathware and Soft Computing, Tome 8 (2001) pp. 71-82. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39213/