Comments on: Fuzzy Math, Part 1, The Theory

By: alijaya

alijaya — Fri, 25 Jun 2010 11:27:30 +0000

wawww…
it’s very good article…

i have browse the internet and i think this article is the best for me *i understand what all the writing about*

By: ASHWINI

ASHWINI — Tue, 08 Jun 2010 11:15:46 +0000

very nicely explained….More interested in set theory and applications to WRE

By: rama devi

rama devi — Wed, 07 Oct 2009 14:36:53 +0000

crisp and clear explanation about fuzzy. thanks a lot

By: woodongpang

woodongpang — Sun, 13 Sep 2009 18:13:48 +0000

thank for your overview.

i am considerably interested in ANFIS that you mentioned.
I will try to study it.

By: Willem

Willem — Sun, 30 Aug 2009 10:57:43 +0000

Sweet article is there a part two????

By: JackK

JackK — Sat, 01 Nov 2008 11:31:18 +0000

When the part 2 will be available?

By: omik

omik — Sun, 17 Aug 2008 09:03:45 +0000

Thank you

By: Augustinas

Augustinas — Sun, 06 Jan 2008 19:46:27 +0000

I think it’s an elegant overview. It managed to explain things “on fingers”. Thanks

By: Pradeep Kumar

Pradeep Kumar — Tue, 28 Aug 2007 16:28:30 +0000

Very good clear explanation, Thanks!!!

By: Doug

Doug — Mon, 06 Aug 2007 02:36:05 +0000

[Also note that the values are not normalized, so the sum of membership degrees doesnâ€™t have to add up to 1.]

I think I can guess why you said this, this way, here goes: new people to fuzzy theory think of fuzzy sets in terms of probabilities or compare it with it. Since “normalized” in probability theory basically means adding up to 1, you stick with their terminology. I’d just like to point out that according to many fuzzy set texts such as Klir and Yuan, Ngyuen and Walker, Buckley and Eslami, and Zadeh’s paper use “normalized” to mean that sup{F}=1 (or max{F} when F is finite), where F indicates our fuzzy set. So, many fuzzy set theorists would call your sets short, medium, and tall “normalized.” I’d suggest that you edit this any say something “normalized in the sense of probability theory” or something similar.

Nice essay.