Professor, I can immediately see why the Fuzzy Union function is a t-conorm. However, I do not understand how Algebraic, Boundary, and Drastic sum are also t-conorms. For instance, let ~A and ~B be the fuzzy sets, and *+ be the algebraic sum. Then ~A *+ ~B = {(x, u_{~A *+ ~B}(x)) : x \in X}, which is an ordered set. So for me, the algebraic sum operator has the domain F x F, where F is the collection of all fuzzy sets, rather than being defined on [0,1]x[0,1]. By the way, great lectures! I just got confused on how the aforementioned operators are t-conorms. Thank you very much for sharing as I need this for my MSc.
For other viewers who may have been confused as me. I believe that implicitly, u_{~A *+ ~B}(x_i) := u_{~A *+ ~B}(u_{~A}(x_i), u_{~B}(x_i) := u_{~A}(x_i) + u_{~B}(x_i) - u_{~A}(x_i)u_{~B}(x_i), where u_{~A *+ ~B}, u_{~A}, and u_{~B} are membership function while ~A and ~B are the fuzzy set with *+ as the algebraic sum operator. Hence, u_{~A *+ ~B} is a function of [0,1]x[0,1], because u_{~A},u_{~B} \in [0,1].
Hello, professor, these videos are very useful and easily understanding. Thank you, Professor. I have one query that how to determine S-norm of 1. xy 2. max[0,x+y-1] Thanks in advance
Sir in this video 7:32 time , Bounded difference .. i think you make a small mistake. it should be maximum of 0 and difference of membership function of fuzzy set A and complement of B...... But you write maximum of 0 and difference of membership function of the fuzzy set A and B
The proof at the very end seems spurious.. correct me if I am wrong.. It looks like circular reasoning or begging the question.. Please forsake my ignorance if I sound arrogant..
for anyone interested t-norm/s-norm starts @26:22
I was here for t-norm, but listened the whole class
thank u. Hope u enjoyed...!
The flow of information is great in this course thank you sir !
Dear sir your lectures are very useful to Lerner
I wIsh I had such a professor :) . Great teaching
Thank u so much! Do appreciate your comments
Professor, I can immediately see why the Fuzzy Union function is a t-conorm. However, I do not understand how Algebraic, Boundary, and Drastic sum are also t-conorms. For instance, let ~A and ~B be the fuzzy sets, and *+ be the algebraic sum. Then ~A *+ ~B = {(x, u_{~A *+ ~B}(x)) : x \in X}, which is an ordered set. So for me, the algebraic sum operator has the domain F x F, where F is the collection of all fuzzy sets, rather than being defined on [0,1]x[0,1]. By the way, great lectures! I just got confused on how the aforementioned operators are t-conorms. Thank you very much for sharing as I need this for my MSc.
They satisfy the props of t conorm
For other viewers who may have been confused as me. I believe that implicitly, u_{~A *+ ~B}(x_i) := u_{~A *+ ~B}(u_{~A}(x_i), u_{~B}(x_i) := u_{~A}(x_i) + u_{~B}(x_i) - u_{~A}(x_i)u_{~B}(x_i), where u_{~A *+ ~B}, u_{~A}, and u_{~B} are membership function while ~A and ~B are the fuzzy set with *+ as the algebraic sum operator. Hence, u_{~A *+ ~B} is a function of [0,1]x[0,1], because u_{~A},u_{~B} \in [0,1].
Sir apko hmare university me hona chahiye tha...
....thnk u sir.
For ur effort....in fuzzy set 😍🥰🥰🥰
Thanks so much!
Hello, professor,
these videos are very useful and easily understanding.
Thank you, Professor.
I have one query that how to determine S-norm of
1. xy
2. max[0,x+y-1]
Thanks in advance
Thanks for upload
Thanks sir for all fuzzy related lecturers
Thank you sir for sharing
Keep going sir....hats off👌
Thank u so much
Sir
Can you give more information about t- norm and conorm
useful but did not cover example for Cartesian product.
Sir in this video 7:32 time , Bounded difference .. i think you make a small mistake. it should be maximum of 0 and difference of membership function of fuzzy set A and complement of B...... But you write maximum of 0 and difference of membership function of the fuzzy set A and B
If possible please reply ?...
Bro sir had done a mistake. He had taken min value. It should be the max value.
TERRIFIC !🙌
Nice lecture sir..
Give video in fuzzy soft matrix
Please explain discrete fuzzy numbers
Thank you sir
and Please also explain by some examples ...
Hi if you found some examples of t-norm and s-norm then send me I will be very thankful to you.
These r intersection and union operators
@@easylearnwithprofschakrave2997 Hi sir I want solved example of t-norm.
@@easylearnwithprofschakrave2997 sir please explain discrete fuzzy number
thank you sir.
Plz is there any one who help me to find examples of fuzzy qasi or bi ideal
please could you specify wether these notions are according to mandani or anyone , i need to know please.
Sir please explain in triangular fuzzy matrix and triangular fuzzy matrix norm within some examples
what is the meaning of R.H.S. ?
Right Hand Side
Pic not clear
Which pic???
Great course.. It would be even better if professor could share his notes..
The proof at the very end seems spurious.. correct me if I am wrong.. It looks like circular reasoning or begging the question.. Please forsake my ignorance if I sound arrogant..