Actually <xs:element name="person" maxOccurs="1">
should be unnecessary and <xs:element name="person">
should be enougn.
<xs:choice maxOccurs="unbounded">
is reason why two person are evaluated as ok, just try <xs:choice>
.
In <xs:element name="address" type="xs:string" minOccurs="1"/>
you should add maxOccurs attribute <xs:element name="address" type="xs:string" minOccurs="1" maxOccurs="unbounded" />
Edit:
You could make something like this:
<?xml version="1.0" encoding="UTF-8"?>
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema">
<xs:element name="family">
<xs:complexType>
<!-- Choice between one "person" element and one or more "address" element. They cannot occur simultaneously because of choice -->
<xs:choice>
<xs:element name="person">
<xs:complexType>
<xs:sequence>
<xs:element name="name" type="xs:string"/>
<xs:element name="firstname" type="xs:string"/>
<xs:element name="age" type="xs:int"/>
</xs:sequence>
</xs:complexType>
</xs:element>
<xs:element name="address" type="xs:string" minOccurs="1" maxOccurs="unbounded"/>
</xs:choice>
</xs:complexType>
</xs:element>
</xs:schema>
In this case xml with one person will validate
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<person>
<name>String</name>
<firstname>String</firstname>
<age>0</age>
</person>
</family>
or xml with many address elements will validate
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<address>a</address>
<address>b</address>
<address>c</address>
</family>
XML with two persons won't validate as well as XML with one person and some address elements (because of choice structure).
If you needed have both person and address elements in one XML you should change choice into sequence like following
<?xml version="1.0" encoding="UTF-8"?>
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema">
<xs:element name="family">
<xs:complexType>
<xs:sequence>
<!-- Only 0 or 1 "person element might appear -->
<xs:element name="person" minOccurs="0">
<xs:complexType>
<xs:sequence>
<xs:element name="name" type="xs:string"/>
<xs:element name="firstname" type="xs:string"/>
<xs:element name="age" type="xs:int"/>
</xs:sequence>
</xs:complexType>
</xs:element>
<!-- followed by many "address" elements -->
<xs:element name="address" type="xs:string" minOccurs="1" maxOccurs="unbounded"/>
</xs:sequence>
</xs:complexType>
</xs:element>
</xs:schema>
so e.g. following xml will validate
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<person>
<name>String</name>
<firstname>String</firstname>
<age>0</age>
</person>
<address>String</address>
<address>String</address>
<address>String</address>
</family>
as well as
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<address>String</address>
<address>String</address>
<address>String</address>
</family>
I previous example there could be only 0 or 1 "person" element and it had to be first of all elements since sequence enforce this order.
If you needed address elements could precede person element you would need change the model to all. But unfortunately at this model you cannot have more occurences of one elements so you should "wrap" address elements into another one like
<?xml version="1.0" encoding="UTF-8"?>
<xs:schema xmlns:xs="http://www.w3.org/2001/XMLSchema">
<xs:element name="family">
<xs:complexType>
<xs:all>
<!-- Only 0 or 1 "person element might appear -->
<xs:element name="person" minOccurs="0">
<xs:complexType>
<xs:sequence>
<xs:element name="name" type="xs:string"/>
<xs:element name="firstname" type="xs:string"/>
<xs:element name="age" type="xs:int"/>
</xs:sequence>
</xs:complexType>
</xs:element>
<!-- or many "address" elements packed into "addresses" element-->
<xs:element name="addresses">
<xs:complexType>
<xs:sequence>
<xs:element name="address" type="xs:string" maxOccurs="unbounded"/>
</xs:sequence>
</xs:complexType>
</xs:element>
</xs:all>
</xs:complexType>
</xs:element>
</xs:schema>
In this case following XMLs will validate
Example 1
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<person>
<name>String</name>
<firstname>String</firstname>
<age>0</age>
</person>
<addresses>
<address>String</address>
<address>String</address>
<address>String</address>
</addresses>
</family>
Example 2
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<addresses>
<address>String</address>
<address>String</address>
<address>String</address>
</addresses>
<person>
<name>String</name>
<firstname>String</firstname>
<age>0</age>
</person>
</family>
Example 3
<?xml version="1.0" encoding="UTF-8"?>
<family xsi:noNamespaceSchemaLocation="Untitled4.xsd" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<addresses>
<address>String</address>
<address>String</address>
<address>String</address>
</addresses>
</family>