Logika Fuzzy dan aplikasinya

Dewi Liliana, M.KOM

IT PNJ

Logika Fuzzy

• Logika Fuzzy, sering juga disebut himpunan fuzzy

• Himpunan fuzzy mampu merepresentasikan estimasi manusia yang bersifat ambigu.

Fuzzy Logic History

• In 1965,Fuzzy Set Theory was introduced by Professor Lotfi A. Zadeh(University of California at Berkeley).

• In 1974,Professor Ebrahim Mamdani (London University) applied the Fuzzy IF-THEN rule reasoning for automatic operation of a steam engine and that was the beginning of fuzzy control application.

• In 1980,the first industrial application report of a fuzzy controlled automatic operation system in a cement factory in Denmark was published.

• By 1987,many applications of fuzzy logic control were published.

• In 1990,the application of fuzzy logic to home electronics in Japan made a "fuzzy boom." The fuzzy boom in Japan had a strong impact on Korea and the United States. Now much research is carried out in worldwide.

Terminologi Logika Fuzzy

• Linguistic uncertainty. Logika Fuzzy berkaitan denganbahasa ketidakpastian (linguistic uncertainty).

• Linguistic Variable dapat dinyatakan secara kuantitatifdengan fungsi keanggotaan/membership function.

• Fuzzification. Berdasarkan fungsi keanggotaan, nilaifuzzy untuk variabel masukan dikalkulasi/dihitung derajatkeanggotaannya.

• Rules dibangun dengan linguistic variable untuk• menggambarkan fungsi dari sistem. Biasanya

berbentuk Antecedent/Consequent IF x [AND/OR] y THEN z.

Model Linguistic Uncertainty

Standard Operations of Fuzzy Set

• Complement set A , union , and intersection represent the standard operations of fuzzy theory and are arranged as:

Fungsi Keanggotaan(Membership Function)

• Kurva Segitiga

• Kurva Trapesium

• Kurva Gauss

• Kurva Sigmoid

Kurva Segitiga

Kurva Segitiga

Contoh menghitung membership function

A = (-3, 2, 4) ; B = (-1, 0, 6)

Kurva Trapesium

Kurva Trapesium

Kurva Gauss/Lonceng