Operasi dan Relasi Pada Himpunan Fuzzy Intuisionistik

Operations and Relations On Intuitionistic Fuzzy Set

Himpunan fuzzy intuisionistik merupakan generalisasi dari himpunan fuzzy. Dalam himpunan fuzzy intuisionistik dapat didefinisikan beberapa operasi, seperti komplemen, irisan, gabungan, penjumlahan, dan perkalian. Selain mendefinisikan operasi, didefinisikan pula relasi pada himpunan fuzzy intuisionistik, seperti hasil kali kartesian. Misalkan 𝑆 himpunan tak kosong dan 𝐹 himpunan fuzzy intuisionistik di 𝑆, 𝐹 disebut himpunan tautologis fuzzy intuisionistik di 𝑆, jika 𝜇𝐹(𝑠)≥𝑣𝐹(𝑠) untuk setiap 𝑠∈𝑆. Pada penelitian ini penulis akan mendeskripsikan sifat-sifat aljabar yang terdapat pada himpunan fuzzy intuisionistik dengan menggunakan beberapa operasi dan relasi sederhana.

Kata kunci : Himpunan Fuzzy Intuisionistik, Himpunan Tautologis Fuzzy Intuisionistik, Operasi, Relasi

Intuitionistic fuzzy set is a generalization of fuzzy set. In the intuitionistic fuzzy set can be defined several operations, such as complement, intersection, union, addition, and multiplication. In addition to defining operations, relations are also defined on intuitionistic fuzzy set, such as cartesian product. Let 𝑆 is a non-empty set and 𝐹 is intuitionistic fuzzy set in 𝑆, 𝐹 is called intuitionistic fuzzy tautological set in 𝑆, if 𝜇𝐹(𝑠)≥𝑣𝐹(𝑠) for every 𝑠∈𝑆. In this study, the writer will describe the characteristic of algebra which exist in the intuitionistic fuzzy set by using several simple operations and relations.

Keywords : Intuitionistic Fuzzy Set, Intuitionistic Fuzzy Tautological Set, Operation, Relation