Fuzzy Arithmetic: Learn Basics & Solve Doubts

[praharmitra]

fuzzy arithmetic...

hey, I'm a newbie in this field...just know how to add, subtract, multiply, and divide fuzzy numbers... but want to learn a bit more...could u give me some gud links to some sites tht explain fuzzy numbers, etc... all i get on the net is going over my head...some simple sites plssss, thnx...

also, i have this doubt...

[a,b] - [c,d] = [a-d, b-c]...right?
therefore, transposing [c,d], we have

[a,b] = [a-d, b-c] + [c,d]
and hence...

[a,b] = [a + c - d, b + d - c]...how is tht? or is wrong to transpose like tht?

 

[bob1182006]

wow interesting...

I recommend you get a book since all I've been able to find was how to add/subtract/multiply

I think there might be some theorem you're missing that maybe changes [c,d] to [d,c] which would give you the [a,b]=[a,b]. Even though the amount of numbers inside the interval [a,b] stays the same as [a+c-d,b+d-c] it is just translated to the right/left depending on c and d.

 

[praharmitra]

wow interesting...

I recommend you get a book since all I've been able to find was how to add/subtract/multiply

I think there might be some theorem you're missing that maybe changes [c,d] to [d,c] which would give you the [a,b]=[a,b]. Even though the amount of numbers inside the interval [a,b] stays the same as [a+c-d,b+d-c] it is just translated to the right/left depending on c and d.

how is the amount of numbers inside the interval the same? think abt it... if u put
c - d = p, say...
the interval becomes [a + p, b - p]... which means the interval has shortened...

 

[bob1182006]

whops didn't notice that ><, yea there must be some theorem or something that's missing.
Probably any book that deals with fuzzy arithmetic will have it.

still can't find anything other than how to use a computer program to do fuzzy arithmetic...