**Subject: **Fuzzy expected value

**From: **Chongfu Huang (*hchongfu@yahoo.com*)

**Date: **Sat Jun 10 2000 - 07:30:08 MET DST

**sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**robert john: "Recent Advances in Soft Computing 2000"**Previous message:**Varun Makhija: "important!!"

Dear Gerhard Moeller,

I am sorry it may take some time for you to help me

in fuzzy expected value.

According to the material from your email dated

Sun, 16 Apr 1995 (http://www.dbai.tuwien.ac.at/

marchives/fuzzy-mail95/0460.html), you are

interested in the topic, and you might read some

references about that.

Now, I am studying the risk management of natural

disasters involving complex systems. We cannot

get probability-risk, but only some fuzzy probability.

In our case, the probability value of a crisp event

is a fuzzy number, the probability density function

is a 2-dimension possibility distribution defined on

probability

space and events space. I have to calculate its

expected value.

I have read the papers

[1] Pal, S.K.(1986), Fuzzy Mathematical

Approach to Pattern Recognition. John Wiley, New York.

[2]Zadeh, L.A. (1968), Probability measures of fuzzy

events. Journal of Mathematics Analysis and

Applications

{\bf 23} (1), pp.421-427

[3] Kandel, A. and Byatt, W.J.(1978), Fuzzy sets,

fuzzy

algebra, and fuzzy statistics. Proc. IEEE {\bf

66}(12),

pp.1619-1639

[4]Heilpern, S.(1993), Fuzzy subsets of the space of

probability

measures and expected value of fuzzy variable. Fuzzy

Sets and

Systems {\bf 54}(3), pp.301-309

[5] Romer,. C and Kadel, A.(1995), Statistical tests

for

fuzzy data. Fuzzy Sets and Systems {\bf 72}(1),

pp.1-26

[6] Qiao, Z., Zhang, Y. and Wang, G.Y.(1994),

On fuzzy rendam linear programming. Fuzzy Sets and

Systems {\bf 65}(1), pp.41-49

But, I havenˇ¦t found the model and example I need.

Could you please tell me more references? If you have

internet material related to that, send some to me

please.

Thank you so much for your help.

Sincerely yours

Chongfu Huang

===========================================

Dr. Chongfu Huang

Visiting Scholar

PKI 175E

University of Nebraska at Omaha

6001 Dodge Street

Omaha, NE 68182-0296

Tel.:(402)554.2562

Email:hchongfu@yahoo.com

=============================================

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