Characterizations of a Class of Commutative Algebras of Logic Systems

2016 ◽  
pp. 397-406
Author(s):  
Xue-Min Ling ◽  
Luo-Shan Xu
Keyword(s):  
Commutative Algebras ◽  
Logic Systems

Design of back propagation optimized Nagar-Bardini structure-based interval type-2 fuzzy logic systems for fuzzy identification

2021 ◽  
pp. 014233122110066
Author(s):  
Yang Chen ◽  
Jiaxiu Yang
Keyword(s):  
Fuzzy Logic ◽  
Back Propagation ◽  
Membership Functions ◽  
Identification Problems ◽  
Fuzzy Logic Systems ◽  
Fuzzy Identification ◽  
Logic Systems ◽  
Academic Topic ◽  
Interval Type

In recent years, fuzzy identification based on system identification theory has become a hot academic topic. Interval type-2 fuzzy logic systems (IT2 FLSs) have become a rising technology. This paper designs a type of Nagar-Bardini (NB) structure-based singleton IT2 FLSs for fuzzy identification problems. The antecedents of primary membership functions of IT2 FLSs are chosen as Gaussian type-2 primary membership functions with uncertain standard deviations. Then, the back propagation algorithms are used to tune the parameters of IT2 FLSs according to the chain rule of derivation. Compared with the type-1 fuzzy logic systems, simulation studies show that the proposed IT2 FLSs can obtain better abilities of generalization for fuzzy identification problems.

scholarly journals Serre–Swan theorem for non-commutative -algebras

2003 ◽  
Vol 48 (2-3) ◽  
pp. 275-296 ◽  
Author(s):  
Katsunori Kawamura
Keyword(s):  
Commutative Algebras

Modeling the permeability of carbonate reservoir using type-2 fuzzy logic systems

2011 ◽  
Vol 62 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Sunday Olusanya Olatunji ◽  
Ali Selamat ◽  
Abdulazeez Abdulraheem
Keyword(s):  
Fuzzy Logic ◽  
Carbonate Reservoir ◽  
Fuzzy Logic Systems ◽  
Logic Systems

scholarly journals The Homological Kähler-de Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Anastasios Mallios ◽  
Elias Zafiris
Keyword(s):  
Quantum Dynamics ◽  
Dynamical Behavior ◽  
Quantum Regime ◽  
Commutative Algebras ◽  
Differential Mechanism ◽  
De Rham ◽  
Physical Fields

The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum. This is of particular importance for the formulation of dynamics in the quantum regime, where the adherence to such a fixed substratum is problematic. In this context, we show that the functorial formulation of the Kähler-de Rham differential mechanism in categories of sheaves of commutative algebras, instantiating generalized localization environments of physical observables, induces a consistent functorial framework of dynamics in the quantum regime.

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