Sains Malaysiana 43(5)(2014): 799–805

Pemodelan Titik Data Kabur Teritlak

(Generalized Fuzzy Data Point Modeling)

ROZAIMI ZAKARIA* & ABD. FATAH WAHAB

Jabatan Matematik, Fakulti Sains dan Teknologi, Universiti Malaysia Terengganu (UMT)

21030 Kuala Terengganu, Terengganu, Malaysia

Diserahkan: 25 Januari 2013/Diterima: 26 Ogos 2013

ABSTRAK

Di dalam kertas ini, pendekatan dalam mentakrifkan ketakpastian titik data melalui pendekatan konsep nombor kabur yang sedia ada dapat diitlakkan. Pengitlakan ini termasuk pentakrifan ketakpastian data yang akan menjadi titik data kabur (titik kawalan kabur) selepas ditakrifkan oleh konsep nombor kabur. Kemudian, kajian ini juga membincangkan tentang proses pengkaburan (operasi potongan-alfa) terhadap titik data kabur tersebut dalam bentuk segitiga nombor kabur diiringi dengan beberapa teorem dan juga pembuktiannya. Selain itu, kami juga turut memodelkan titik data kabur tersebut melalui fungsi lengkung yang sedia ada iaitu fungsi lengkung Bezier. Selepas itu, turut dicadangkan juga ialah proses penyahkaburan terhadap titik data kabur selepas operasi potongan-alfa diimplementasikan bagi memperoleh penyelesaian titik data kabur rangup sebagai keputusan akhir yang turut dimodelkan melalui fungsi lengkung Bezier dengan disertai beberapa teorem bagi memahami bentuk data tersebut.

Kata kunci: Lengkung kabur; nombor kabur; operasi potongan-alfa; penyahkaburan; titik data kabur

ABSTRACT

In this paper, the approach in defining the uncertainty data points through the concept of the existing fuzzy numbers can be generalized. This generalization includes the defining uncertainty data which will become fuzzy data point (fuzzy control point) after being defined by the fuzzy numbers concepts. Then, this study also discusses the fuzzification process (alpha-cut operation) of the fuzzy data points in the form of triangular fuzzy numbers that was accompanied by some theorems and their proofs. In addition, we also model the fuzzy data points through the existing curve function of Bezier curve function. Then, we also proposed a defuzzification process which was applied towards the fuzzy data points after the fuzzification process to obtain crisp fuzzy data points solution as the final result which was being modeled by using the Bezier curve function jointly with some theorems for more understanding.

Keywords: Alpha-cut operation; defuzzification; fuzzy curve; fuzzy data points; fuzzy number

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*Pengarang untuk surat-menyurat; email: rozaimi_z@yahoo.com