Open AccessIMAGE DAN PRE-IMAGE TRANSLASI PADA GRUP FUZZY INTUITIONISTIK
Author(s) -
Dian Pratama
Publication year - 2016
Publication title -
jurnal ilmiah matematika dan pendidikan matematika (jmp)/jurnal ilmiah matematika dan pendidikan matematika
Language(s) - English
Resource type - Journals
eISSN - 2550-0422
pISSN - 2085-1456
DOI - 10.20884/1.jmp.2016.8.2.2886
Subject(s) - mathematics , fuzzy classification , membership function , fuzzy mathematics , fuzzy set , type 2 fuzzy sets and systems , fuzzy number , fuzzy logic , image (mathematics) , homomorphism , fuzzy set operations , defuzzification , complement (music) , algebra over a field , discrete mathematics , artificial intelligence , pure mathematics , computer science , biochemistry , chemistry , complementation , gene , phenotype
A intuitionistic fuzzy set in is set gives a membership function and a non-membership function (the complement of membership function) for each with the sum worth one. When it’s applied in group’s theory, it will called intuitionistic fuzzy group with conditions membership function is fuzzy subgroup and non-membership function is anti-fuzzy subgroup. In this research, the operator will be given a fuzzy set is called fuzzy translation operator. This operator is a mapping imposed on membership functions (fuzzy subset) to interval [ 0,1]. This research will discuss the properties homomorphism of translation on intuitionistic fuzzy groups. These properties is the structure of the image and pre-image homomorphism of translation on intuitionistic fuzzy group. We obtain that image and pre-image of translation on intuitionistic fuzzy (normal) groups is also intuitionistic fuzzy (normal) groups.