Comonotone maxitivity and extended Sugeno integral

Comonotone maxitive idempotent aggregation functions on [0, 1] are characterized and the extended Sugeno integral is introduced. Also the relationship of Sugeno integral and the extended Sugeno integral is clarified. Finally, extended weighted maxima on [0, 1] are discussed.

[1]  E. Pap Null-Additive Set Functions , 1995 .

[2]  Yi-Chung Hu,et al.  Functional-link net with fuzzy integral for bankruptcy prediction , 2007, Neurocomputing.

[3]  Vicenç Torra,et al.  The interpretation of fuzzy integrals and their application to fuzzy systems , 2006, Int. J. Approx. Reason..

[4]  Patricia Melin,et al.  A hybrid modular neural network architecture with fuzzy Sugeno integration for time series forecasting , 2007, Appl. Soft Comput..

[5]  M. Grabisch The application of fuzzy integrals in multicriteria decision making , 1996 .

[6]  R. Mesiar,et al.  Aggregation operators: properties, classes and construction methods , 2002 .

[7]  Olivier Strauss,et al.  Variable structuring element based fuzzy morphological operations for single viewpoint omnidirectional images , 2007, Pattern Recognit..

[8]  Hassiba Nemmour,et al.  Neural Network Combination by Fuzzy Integral for Robust Change Detection in Remotely Sensed Imagery , 2005, EURASIP J. Adv. Signal Process..

[9]  Martin Kalina,et al.  Fuzzy Preference Relations and Lukasiewicz Filters , 2007, EUSFLAT Conf..

[10]  Gaspar Mayor,et al.  Aggregation Operators , 2002 .

[11]  Jean-Luc Marichal,et al.  On Sugeno integral as an aggregation function , 2000, Fuzzy Sets Syst..

[12]  Tuan D. Pham,et al.  An image restoration by fusion , 2001, Pattern Recognit..

[13]  H.T. Nguyen,et al.  A modification of Sugeno integral describes stability and smoothness of fuzzy control , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[14]  Michio Sugeno,et al.  Fuzzy integral representation , 1996, Fuzzy Sets Syst..

[15]  R. Mesiar,et al.  CHAPTER 33 – Monotone Set Functions-Based Integrals , 2002 .