Intuitionistic Fuzzy Set (IFS)...•The intuitionistic fuzzy set (IFS) introduced in 1983 by...
Transcript of Intuitionistic Fuzzy Set (IFS)...•The intuitionistic fuzzy set (IFS) introduced in 1983 by...
Intuitionistic Fuzzy Set (IFS)
Intuitionistic Fuzzy Set (IFS)
• The intuitionistic fuzzy set (IFS) introduced in 1983 by Krassimir T. Atanassov asgeneralization of fuzzy sets.
Şekil 3. A sezgisel bulanık kümesi (Garg ,Rani ve Sharma, 2013)
Basic Relations and Operations On IFSs
Basic Relations and Operations On IFSs
Example
• Let E = {a, b, c, d, e}, let the IFSs A and B have the forms:
A = {(a, 0.5, 0.3), (b, 0.1, 0.7), (c, 1.0,0.0), (d, 0.0, 0.0), (e, 0.0,1.0)},
B = {(a, 0.7, 0.1), (b, 0.3, 0.2), (c, 0.5, 0.5), (d, 0.2, 0.2), (e, 1.0,0.0)}.
Then
Algebra Laws in IFSs
Algebra Laws in IFSs
Triangular Intuitionistic Fuzzy Number (TIFN)
ATIFN is a fuzzy set on R with the form
Triangular Intuitionistic Fuzzy Number (TIFN)
Triangular Intuitionistic Fuzzy Number (TIFN)
Triangular Intuitionistic Fuzzy Number (TIFN)
Aritmetic Operations on Triangular Intuitionistic
Fuzzy Numbers (TIFN)
α –cut of Triangular Intuitionistic Fuzzy Number (TIFN)
Sezgisel bulanık sayının üye olmama fonksiyonunun α kesim kümesi:
• Sezgisel bulanık sayının üye olmama fonksiyonunun α kesim kümesi:
α –cut of Triangular Intuitionistic Fuzzy Number (TIFN)
α –cut of Triangular Intuitionistic Fuzzy Number (TIFN)
Trapezoidal Intuitionistic Fuzzy Number (TRIFN)
Operations on Trapezoidal Intuitionistic Fuzzy Number (TRIFN)