Some Properties of Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure

In this paper, we consider fuzzy complex valued fuzzy measures and Choquet integrals with respect to a fuzzy measure of real-valued measurable functions. In doing so, we investigate some basic properties and convergence theorems.

[1]  J. Buckley,et al.  Fuzzy complex analysis I: differentiation , 1991 .

[2]  Michio Sugeno,et al.  Choquet integral and fuzzy measures on locally compact space , 1998, Fuzzy Sets Syst..

[3]  Dae-Won Kim,et al.  SYMMER: A Systematic Approach to Multiple Musical Emotion Recognition , 2011, Int. J. Fuzzy Log. Intell. Syst..

[4]  J. Buckley.  Fuzzy complex analysis II: integration , 1992 .

[5]  J. BuckleyJ.,et al.  Fuzzy complex analysis I , 1991 .

[6]  Taekyun Kim,et al.  ON CHOQUET INTEGRALS OF MEASURABLE FUZZY NUMBER-VALUED FUNCTIONS , 2004 .

[7]  Xiaoping Li,et al.  Generalized Lebesgue integrals of fuzzy complex valued functions , 2002, Fuzzy Sets Syst..

[8]  M. Sugeno,et al.  An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy , 1989 .

[9]  M. Sugeno,et al.  A theory of fuzzy measures: Representations, the Choquet integral, and null sets , 1991 .

[10]  Seung-Min Park,et al.  Specified Object Tracking Problem in an Environment of Multiple Moving Objects , 2011, Int. J. Fuzzy Log. Intell. Syst..

[11]  L. Jang.  Structural characterizations of monotone interval-valued set functions defined by the interval-valued Choquet integral , 2008 .

[12]  M. Puri,et al.  Fuzzy Random Variables , 1986 .

[13]  L. Jang.  A NOTE ON THE MONOTONE INTERVAL-VALUED SET FUNCTION DEFINED BY THE INTERVAL-VALUED CHOQUET INTEGRAL , 2007 .

[14]  J. Buckley.  Fuzzy complex numbers , 1989 .

[15]  Michio Sugeno,et al.  Autocontinuity, convergence in measure, and convergence in distribution , 1997, Fuzzy Sets Syst..