Re: Help: fuzzy measure (by Andre Luiz Fonseca de Oliveira)

Qingshan Jiang (jiang@DMI.USherb.CA)
Fri, 24 May 1996 15:48:00 +0200

Dear Sir:

I would like to provide with some informations concerning the books and
papers about fuzzy measure. They are as follows:

1. Books

(1). Z. Wang and G. J. Klir, Fuzzy Measure Theory (Plenum, New York, 1992)

(2). D. Denneberg, Non-additive Measure and Integral (Kluwer Dordrecht,

(3). E. Pap, Null-additive Set Functions (Kluwer, Dordrecht, 1995)

(4). M. Grabisch, H. T. Nguyen and E. A. Walker, Fundamentals of
Uncertainty Calculi with Applications to Fuzzy Inference (Kluwer,
Dordrechet, 1995)

2. Recent Papers

(1) Q. Jiang, "On Structural Characteristics for Non-additive Set
Functions" Ph.D. Thesis, Chiba University, 1996.

(2). Q. Jiang and H. Suzuki, "Lebesgue and Saks decompositions of
$\sigma$-finite fuzzy measures" Fuzzy Sets and Systems 75 (1995) 373-385.

(3). Q. Jiang and H. Suzuki, "The rang of $\sigma$-finite fuzzy measures",
Proc. of FUZZ-IEEE/IFES'95 (Japan, 1995) 137-144.

(4). Q. Jiang and H. Suzuki, "Fuzzy measures and fuzzy integrals on a
complete separable metric space", Proc. of IFSA'95 (Brazil, 1995) 427-430.

(5). Q. Jiang, H. Suzuki, Z. Wang, G. J. Klir, J. Li, and M. Yasuda,
" Property (p.g.p.) of fuzzy measures and convergence in measure"
The Journal of Fuzzy Mathematics 3 (1995) 699-710.

(6). Z. Wang, G. J. Klir and D. Harmanec, "The preservation of structural
characteristics of monotone set functions defined by fuzzy integral",
The Journal of Fuzzy Mathematics 1 (1995) 229-240.

By the way, you can see the references of above books, from which you
will also get more informations you want to find.

Good luck!


Qingshan Jiang
Department of Mathematics and Computer Sciences
University of Sherbrooke
Sherbrooke, Quebec
J1K 2R1
Tel: 819-8217022
Fax: 819-8218200