A fuzzy set theoretic approach to validate simulation models

2006 ◽  
Vol 16 (4) ◽  
pp. 375-398 ◽  
Author(s):  
Jurgen Martens ◽  
Ferdi Put ◽  
Etienne Kerre
Keyword(s):  
Fuzzy Set ◽  
Simulation Models ◽  
Theoretic Approach

scholarly journals Fuzzy sets and presheaves

2019 ◽  
Vol 1 ◽  
pp. 3
Author(s):  
John F. Jardine
Keyword(s):  
Fuzzy Sets ◽  
Fuzzy Set ◽  
General Framework ◽  
Theoretic Approach ◽  
Data Set

This paper presents a presheaf theoretic approach to the construction of fuzzy sets, which builds on Barr's description of fuzzy sets as sheaves of monomorphisms on a locale. Presheaves are used to give explicit descriptions of limit and colimit descriptions in fuzzy sets on an interval. The Boolean localization construction for sheaves on a locale specializes to a theory of stalks for sheaves and presheaves on an interval.The system V∗(X) of Vietoris-Rips complexes for a data set X is both a simplicial fuzzy set and a simplicial sheaf in this general framework. This example is explicitly discussed through a series of examples.

A fuzzy model for learning in automata

Robotica ◽  
1985 ◽  
Vol 3 (1) ◽  
pp. 39-44 ◽  
Author(s):  
Ashoke Kumar Datta
Keyword(s):  
Fuzzy Set ◽  
Decision Process ◽  
General Model ◽  
Biological Systems ◽  
Fuzzy Model ◽  
Theoretic Approach ◽  
Fuzzy Decision ◽  
Input Output ◽  
Sole Purpose ◽  
Action Capabilities

SUMMARYA simple general model for learning, using a fuzzy set theoretic approach and fuzzy decision in an automaton which has nonfuzzy input/output, is proposed. The process has been modelled somewhat in the fashion of general biological systems, which may be viewed as a fuzzy decision process where learning consists in taking a tentative action and reinforcing the membership values on the basis of the results of that action. The model is tested on an automaton whose sole purpose is to follow the boundary on an object with which it makes contact during its movements. The automaton is simulated by a computer. it has standard 8–neighbourhood configuration with binary sense capability and three action capabilities. The automaton has been found to learn to take correct action in a large number of possible input situations within only a few thousand moves.

Optimal Robust Position Control With Input Shaping for Flexible Solar Array Drive System: A Fuzzy-Set Theoretic Approach

2019 ◽  
Vol 27 (9) ◽  
pp. 1807-1817 ◽  
Author(s):  
Jinquan Xu ◽  
Hao Fang ◽  
Tong Zhou ◽  
Ye-Hwa Chen ◽  
Hong Guo ◽  
...  
Keyword(s):  
Fuzzy Set ◽  
Position Control ◽  
Drive System ◽  
Solar Array ◽  
Input Shaping ◽  
Theoretic Approach ◽  
System A
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