# (T, ⊥, N) fuzzy logic.

• Volume: 8, Issue: 2, page 71-82
• ISSN: 1134-5632

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## Abstract

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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.

## How to cite

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Xu, Y., Lin, J., and Ruan, Da. "(T, ⊥, N) fuzzy logic.." Mathware and Soft Computing 8.2 (2001): 71-82. <http://eudml.org/doc/39213>.

@article{Xu2001,
abstract = {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.},
author = {Xu, Y., Lin, J., Ruan, Da},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Operadores lógicos; fuzzy logic; disjunctive normal form; conjunctive normal form; -fuzzy truth},
language = {eng},
number = {2},
pages = {71-82},
title = {(T, ⊥, N) fuzzy logic.},
url = {http://eudml.org/doc/39213},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Xu, Y.
AU - Lin, J.
AU - Ruan, Da
TI - (T, ⊥, N) fuzzy logic.
JO - Mathware and Soft Computing
PY - 2001
VL - 8
IS - 2
SP - 71
EP - 82
AB - 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.
LA - eng
KW - Lógica difusa; Operadores lógicos; fuzzy logic; disjunctive normal form; conjunctive normal form; -fuzzy truth
UR - http://eudml.org/doc/39213
ER -

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