Top-Down Approach for a Linguistic Fuzzy Logic Model

A top-down approach is introduced for processing nonlinear linguistic fuzzy logic within the Mamdani model itself in order to reduce the computational efforts. The top-down approach is composed of three steps: (1) directly obtain the best set of linguistic terms, (2) find the matching rule antecedents and their output values, and (3) visit the neighbor terms. A numerical example is provided along with detailed analysis of the approach. In addition, the approach is applied to a simplified aircraft conflict detection task. The results show that the top-down approach is effective at reducing the amount of computation compared to the classical search approach.

[1]  Peter A. Lindsay,et al.  Simulation of air traffic controllers' behaviour using the operator choice model , 2005 .

[2]  George E. Meyer,et al.  Rule-based Mamdani-type fuzzy modeling of skin permeability , 2008, Appl. Soft Comput..

[3]  Keith C. C. Chan,et al.  A new fuzzy approach to improve fashion product development , 2006, Comput. Ind..

[4]  Radu-Emil Precup,et al.  A survey on industrial applications of fuzzy control , 2011, Comput. Ind..

[5]  Iván Rodríguez,et al.  Fuzzy control of a multiple hearth furnace , 2004, Comput. Ind..

[6]  Chuen-Chien Lee,et al.  Fuzzy logic in control systems: fuzzy logic controller. II , 1990, IEEE Trans. Syst. Man Cybern..

[7]  Xingda Qu,et al.  Simulating Human Lifting Motions Using Fuzzy-Logic Control , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[8]  Ebrahim H. Mamdani,et al.  A linguistic self-organizing process controller , 1979, Autom..

[9]  Steven J. Landry,et al.  Introduction to Human Factors and Ergonomics for Engineers , 2007 .

[10]  R. LeFaivre.  The Representation of Fuzzy Knowledge , 1974 .

[11]  W.J.M. Kickert.  ANALYSIS OF A FUZZY LOGIC CONTROLLER , 1993 .

[12]  I. Burhan Türksen,et al.  Fuzzy functions with LSE , 2008, Appl. Soft Comput..

[13]  Andrew Neal,et al.  An Evidence Accumulation Model for Conflict Detection Performance in a Simulated Air Traffic Control Task , 2009, Hum. Factors.

[14]  Osman Demirci,et al.  Fuzzy logic based smart traffic light simulator design and hardware implementation , 2010, Appl. Soft Comput..

[15]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[16]  C C Lee,et al.  FUZZY LOGIC IN CONTROL SYSTEM FUZZY LOGIC CONTROLLER-PART II , 1990 .

[17]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[18]  Chuen-Chien Lee.  FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[19]  Ebrahim H. Mamdani,et al.  An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller , 1999, Int. J. Hum. Comput. Stud..