The Minister of Justice may permit naturalization of a foreign national who falls under one of the following items even if that person does not meet the conditions listed in Article 5, paragraph (1), item (i), item (ii), and item (iv):
a person who is a child (excluding an adopted child) of a Japanese citizen and has a domicile in Japan;
日本国民の子（養子を除く。）で日本に住所を有するもの
a person who is an adopted child of a Japanese citizen, continuously has had a domicile in Japan for one year or more, and was a minor according to the person's national law at the time of adoption;
日本国民の養子で引き続き一年以上日本に住所を有し、かつ、縁組の時本国法により未成年であつたもの
a person who has lost their Japanese citizenship (excluding a person who has lost their Japanese citizenship after naturalization to Japanese citizenship) and has a domicile in Japan; or
日本の国籍を失つた者（日本に帰化した後日本の国籍を失つた者を除く。）で日本に住所を有するもの
a person who was born in Japan, has been continuously without any nationality since their birth and has continuously domiciled in Japan for three years or more since that time.
日本で生まれ、かつ、出生の時から国籍を有しない者でその時から引き続き三年以上日本に住所を有するもの
Read this with the articles around it