Normalized Fuzzy Set,Support Set and Height of Fuzzy Set(Hindi)

Hello dosto kaise h aap!
Aap is topic ko English me padh sakte h is link  par-
http://electricalvideolibrary.blogspot.com/2018/09/normalized-fuzzy-setsupport-set-and_23.html

Dosto to hum aaj k lecture me discuss krne wale h teen chijo k bare me:-
1.Support Set of a Fuzzy Set
2.Height of the Fuzzy Set
3.Normalized and non Normalized Fuzzy Set

Representation of Fuzzy Sets:-
Thik h Dosto to in teen topic ko suru krne se phle hum dekhte h ki Fuzzy sets ko kin kin tariko se represent kiya jata h-
 to chaliye dosto hum is image ko dekhte h aur samjhte h-

Figure 1-Representation of Fuzzy Set

to dosto isme jo phla tarika h usko humne last lectures me bhi dekha tha,isk alawa dosto hum in tariko se bhi Fuzzy Set ko represent kr skte h.Isme jo second equation me jo + ka sign h do elements k bich me wo actual addition ni h wo bus ek representation h.Isi tarah se 3rd aur 4th equation me bhi actual summation aur intigration ni h wo bus ek representation h.

Support Set of a Fuzzy Set:
Support of Fuzzy Set un element ka sum hota h jinki degree of membership zero se jyada hoti h.Jyada samjhane k liye hum image dekhte h.

Figure 2-Support Set of Fuzzy Set

Is case me A ek fuzzy set h aur S(A) Support Set h jaisa ki aap dekh skte h isme kewal element h uski degree of membesrship function ni h to isse aap samjh skte h ki Support Set ek Crisp Set h ya conventional set h.

Height of the Fuzzy Set:-
Dosto ek fuzzy set me jo maximum value hoti h degree of membership ki wo Fuzzy Set ki Height kehlati h jaise ki aap figure 2 me dekh sakte h ki A fuzzy set ki height 0.9 h:

H(A)=0.90 (From Fig 2)

Normalized Fuzzy Set:-

Jab kisi fuzzy set ki height 1 hoti h ya maximum value of degree of membership ki 1 hoti h tab wo normalized fuzzy set kehlata h aur agar 1 ni hota h to non normalized fuzzy set kehlata h.

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