A) Oпределување на важечките функциски зависности

Тргнуваме од список во кој сите атрибути имаат различни имиња. За таа цел атрибутите кои што имаат исти имиња ги преименувавме. Во продолжение е списокот на атрибути кои што се преименувани.

*id (Кај ентитетот Users) = users_id
*id (Кај ентитетот Pet_Cares) = pet_cares_id
*id (Kaj ентитетот Blog_Post_For_Consultation) = blog_post_for_consultation_id
*id (Kaj ентитетот Blog_Post_Answers) = blog_post_answers_id
*id (Kaj ентитетот Jobs) = jobs_id 
*id (Kaj ентитетот Vet_Centers)  = vet_centers_id
*id (Kaj ентитетот Cities) = cities_id
*id (Kaj ентитетот Roles)  = roles_id
*id (Kaj ентитетот Reports) = reports_id
*id (Kaj ентитетот Pet_Status) = pet_status_id
*id (Kaj ентитетот Therapy) = therapy_id
*id (Kaj ентитетот Diagnostics) = diagnostics_id
*id (Kaj ентитетот Medecines) = medecines_id
*id (Kaj ентитетот Manufacturers) = manufacturers_id
*id (Kaj ентитетот Pets) = pets_id
*id (Kaj ентитетот Pet_Galery) = pet_galery_id
*id (Kaj ентитетот Orders) = orders_id
*id (Kaj ентитетот Products) = products_id
*id (Kaj ентитетот Type_Of_Pets) = type_of_pets_id
*id (Kaj ентитетот Breeds) = breeds_id
*title (Kaj ентитетот Blog_Post_For_Consultations) = blog_post_title
*description (Kaj ентитетот Blog_Post_For_Consultations) = blog_post_description
*description (Kaj ентитетот Jobs) = jobs_description
*description (Kaj ентитетот Vet_Centers) = vet_centers_description 
*name (Kaj ентитетот Cities) = cities_name
*description (Kaj ентитетот Reports) = reports_description
*type (Kaj ентитетот Pet_Status) = pet_status_type
*description (Kaj ентитетот Therapy) = therapy_description
*description (Kaj ентитетот Diagnostics) = diagnostics_description
*name (Kaj ентитетот Medecines) = medecines_name
*description (Kaj ентитетот Medecines) = medecines_description
*name (Kaj ентитетот Manufacturers) = manufacturers_name
*description (Kaj ентитетот Manufacturers) = manufacturers_description
*name (Kaj ентитетот Pets) = pets_name
*description (Kaj ентитетот Pets) = pets_description
*name (Kaj ентитетот Products) = products_name
*description (Kaj ентитетот Products) = products_description
*description (Kaj ентитетот Type_Of_Pets) = type_of_pets_description
*name (Kaj ентитетот Breeds) = breeds_name

Функциски зависности

R(jobs_id, jobs_description, predistedSalery, pet_cares_id, title, description, start_date, 
dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, 
latitude, longitude,roles_id, type, users_id, first_name, last_name,
phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title,
blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, 
cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, 
pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, 
diagnostics_description, medecines_id, manufacturers_name, medecines_description, 
manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name,
color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id,
products_id, products_name, products_description, category, dateAdded,isActive, price, 
available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description)                 

• jobs_id -> jobs_description, predistedSalery (Секоја работна позиција си има опис и предвидена плата).
• pet_cares_id ->title, description, start_date, dateEnding (Секоја услуга си има име, опис, датум на започнување и датум на завршување).
• vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude (Секој вет. центар си има име, адреса, работни часови, координати ( гео. должина и ширина).
• roles_id->type (Секоја улога си има свој тип).
• users_id -> first_name, last_name, phoneNumber, email, password, roles_id (Секој корисник има име, презиме, тел.број, емаил и пасворд.Секој корисник може да има само една улога: стандарден корисник, менаџер, вработен или админ. Според улогата корисникот добива одредени привилегии).
• blog_post_for_consultation_id -> blog_post_title, blog_post_description, dateAsked, users_id (Секое поставено прашање/побарана консултција има наслов, опис, и датум на поставување. Секој побаран совет/прашање е напишен од одреден корисник).
• blog_post_answers_id ->parent_id, reply, date_answers, blog_post_for_consultation_id, users_id (Секој одговор е даден врз основа на поставено прашање, има содржина и датум кога е одговорено. Секој одговор е поврзан со едно прашање за консултација и е даден од еден корисник).
• cities_id-> cities_name (Секој град си има име).
• reports_id-> reports_description, pets_id, (Секој извештај има опис. Секој извештај припаѓа на едно милениче)
• reports_id , pets_id→ users_id (Секој извештај за одредено милениче е напишан од еден корисник-доктор).
• pet_status_id->node, pet_status_type (Секој статус има забелешка и тип).
• therapy_id->appoitmentDate, therapy_description (Секоја терапија има датум на започнување и опис).
• diagnostics_id-> diagnostics_description (Секоја дијагноза има опис)
• medecines_id-> medecines_name, medecines_description (Секој лек има име, и упатство)
• manufacturers_id->city, state, manufacturers_name, manufacturers_description (Секој производител на лекот има град, држава, име и опис).
• pets_id-> pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, users_id (Секое милениче има име, боја, датум на раѓање и опис. Секое милениче припаѓа на еден вид. Секое милениче има само еден сопственик, во нашата база не е возможно едно милениче да има повеќе сопственици. Кога се врши микрочипирање се запишуваат податоци само од еден сопственик).
• pet_galery_id->image, pets_id (Секоја слика во галеријата е поврзана само со едно милениче, во нашиот проект имаме замислено на една слика да има само едно милениче за поголема прегледност на идните вдомувачи).
• orders_id → userid (Секоја нарачка е направена од еден корисник).
• products_id-> products_name, products_description, category, dateAdded, isActive, price, available_quantity (Секој продукт има име, опис, категорија, датум кога е додаден во системот, дали е достапен, цена и достапна количина).
• products_id, orders_id → quantity (Секој продукт кој што се наоѓа во нарачката има одредена количина).
• breeds_id-> breeds_name, type_of_pets_id (Секоја раса си има име. Секоја раса припаѓа на еден вид на милениче, Пр.расата Scottish Fold припага само на видот маче не припага и на видот куче итн).
• type_of_pets_id->kind_of_pet, type_of_pets_description (Секој вид на милениче има име и опис).
• medecines_id → manufacturers_id (Во нашиот проект претпоставуваме дека секој лек е произведен од само еден произведувач).
• vet_centers_id, pets_id → pet_status_id (Секое милениче во еден ветеринарен центар има само еден активен статус во даден момент. Кога статусот се менува, се брише претходниот и се запишува нов.)

Определување на кандидат клучеви

Од лева страна се наоѓаат следниве атрибути:
jobs_id, pet_cares_id, vet_centers_id, blog_post_answers_id, cities_id, reports_id, therapy_id, 
diagnostics_id, medecines_id, manufacturers_id, pet_galery_id, products_id, breeds_id.


Од десна страна се наоѓаат следниве атрибути:
jobs_description, predistedSalery, title, description, start_date, dateEnding, name, address, 
vet_centers_description, workingHours, latitude, longitude, type, first_name, last_name, 
phoneNumber, email, password, blog_post_title, blog_post_description, dateAsked, parent_id,
reply, date_answers, cities_name, reports_description, node, pet_status_type, appoitmentDate, 
therapy_description, diagnostics_description, medecines_name, medecines_description, city,
state, manufacturers_name, manufacturers_description, pets_name, color, dateOfBirthday, 
pets_description, image, products_name, products_description, category, dateAdded, isActive,
price, available_quantity, quantity, breeds_name, kind_of_pet, type_of_pets_description.


Од десна и лева страна се наоѓаат следниве атрибути:
roles_id, users_id, blog_post_for_consultation_id, pets_id, type_of_pets_id, pet_status_id.


Започнуваме од тривијален суперклуч па постепено отстрануваме атрибути
{jobs_id, jobs_description, predistedSalery, pet_cares_id, title, description, start_date, 
dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, 
latitude, longitude, roles_id, type, users_id, first_name, last_name,
phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title,
blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, 
cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, 
pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, 
diagnostics_description, medecines_id, manufacturers_name, medecines_description, 
manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name,
color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id,
products_id, products_name, products_description, category, dateAdded,isActive, price, 
available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description} 
+=
{jobs_id, jobs_description, predistedSalery, pet_cares_id, title, description, start_date, 
dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, 
latitude, longitude,roles_id, type, users_id, first_name, last_name,
phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title,
blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, 
cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, 
pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, 
diagnostics_description, medecines_id, manufacturers_name, medecines_description, 
manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name,
color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id,
products_id, products_name, products_description, category, dateAdded,isActive, price, 
available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description}



Атрибутите кои што се наоѓаат само од десна страна може да ги отстраниме. 
Со тоа ги острануваме следниве атрибути:
jobs_description, predistedSalery, title, description, start_date, dateEnding, name, address, 
vet_centers_description, workingHours, latitude, longitude, type, first_name, last_name, 
phoneNumber, email, password, blog_post_title, blog_post_description, dateAsked, parent_id,
reply, date_answers, cities_name, reports_description, node, pet_status_type, appoitmentDate, 
therapy_description, diagnostics_description, medecines_name, medecines_description, city,
state, manufacturers_name, manufacturers_description, pets_name, color, dateOfBirthday, 
pets_description, image, products_name, products_description, category, dateAdded, isActive,
price, available_quantity, quantity, breeds_name, kind_of_pet, type_of_pets_description.

{jobs_id, pet_cares_id, title, description, start_date,vet_centers_id, roles_id, users_id, 
blog_post_for_consultation_id, blog_post_answers_id, cities_id, reports_id, pets_id, 
pet_status_id, therapy_id, diagnostics_id, medecines_id, manufacturers_id, type_of_pets_id, 
pet_galery_id, orders_id, products_id, products_name, products_description, category, 
dateAdded,isActive, breeds_id, kind_of_pet} +=
{jobs_id, jobs_description, predistedSalery, pet_cares_id, title, description, start_date, 
dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, 
latitude, longitude,roles_id, type, users_id, first_name, last_name,
phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title,
blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, 
cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, 
pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, 
diagnostics_description, medecines_id, manufacturers_name, medecines_description, 
manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name,
color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id,
products_id, products_name, products_description, category, dateAdded,isActive, price, 
available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description}



Можеме да го отстраниме и pets_id бидејќи се добива преку pet_galery_id. 
Можеме да го отстраниме и pet_status_id бидејќи се добива преку vet_centers_id, pets_id.
Можеме да го отстраниме и type_of_pets_id бидејќи се добива преку breeds_id. 
Можеме да го отстраниме и blog_post_for_consultation_id бидејќи се добова преку 
blog_post_answers_id.
Можеме да го отстраниме и users_id бидејќи се добива преку orders_id.
Можеме да го отстраниме и roles_id бидејќи се добива преку users_id.



За кандидат клуч добивме:
{jobs_id, pet_cares_id, blog_post_answers_id, cities_id, reports_id, therapy_id, medecines_id, 
pet_galery_id, orders_id, products_id, breeds_id, vet_centers_id}.

Ниту еден од атрибутите го нема од десна страна во ф.з па ова ни е единствен кандидат клуч,
го прогласуваме за примарен клуч.


{jobs_id, pet_cares_id, blog_post_answers_id, cities_id, reports_id, therapy_id, medecines_id, 
pet_galery_id, orders_id, products_id, breeds_id, vet_centers_id} += 
{jobs_id, jobs_description, predistedSalery, pet_cares_id, title, description, start_date, 
dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, 
latitude, longitude,roles_id, type, users_id, first_name, last_name,
phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title,
blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, 
cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, 
pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, 
diagnostics_description, medecines_id, manufacturers_name, medecines_description, 
manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name,
color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id,
products_id, products_name, products_description, category, dateAdded,isActive, price, 
available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description}

Декомпозиција

jobs_id -> jobs_description, predistedSalery
pet_cares_id ->title, description, start_date, dateEnding
vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude
roles_id->type
users_id -> first_name, last_name, phoneNumber, email, password, roles_id
blog_post_for_consultation_id -> blog_post_title, blog_post_description, dateAsked, users_id
blog_post_answers_id ->parent_id, reply, date_answers, blog_post_for_consultation_id, users_id
cities_id-> cities_name
reports_id-> reports_description, pets_id
reports_id , pets_id→ users_id
pet_status_id->node, pet_status_type
therapy_id->appoitmentDate, therapy_description
diagnostics_id-> diagnostics_description
medecines_id-> medecines_name, medecines_description
pets_id-> pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, users_id
pet_galery_id->image, pets_id
orders_id → userid
products_id-> products_name, products_description, category, dateAdded, isActive, price, available_quantity
products_id, orders_id → quantity
breeds_id-> breeds_name, type_of_pets_id
type_of_pets_id->kind_of_pet, type_of_pets_description
medecines_id → manufacturers_id
vet_centers_id, pets_id → pet_status_id

Во вака дефинираната релација нема повеќекратни зависности и атрибути и нема вгнездени релации, па оттука следува дека задоволува 1NF.

jobs_id → jobs_description, predistedSalery - Нарушува 2NF бидејќи има парцијална зависност. jobs_id е подмножество на к.к а десно имаме непримарни атрибути.
jobs_id +={ jobs_id, jobs_description, predistedSalery }
R1 (jobs_id, jobs_description, predistedSalery) клуч jobs_id, BCNF.
Со наоѓање на сите затварачи
F1 = { jobs_id → jobs_description, predistedSalery }
R2 (jobs_id, pet_cares_id, title, description, start_date, dateEnding,vet_centers_id, name, address, vet_centers_description, workingHours, latitude, longitude,roles_id, type, users_id, first_name, last_name, phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title, blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, diagnostics_description, medecines_id, manufacturers_name, medecines_description, manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id, products_id, products_name, products_description, category, dateAdded,isActive, price, available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description )
Со наоѓање на сите затварачи
F2 = (pet_cares_id ->title, description, start_date, dateEnding
vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude
roles_id->type
users_id -> first_name, last_name, phoneNumber, email, password, roles_id
blog_post_for_consultation_id -> blog_post_title, blog_post_description, dateAsked, users_id
blog_post_answers_id ->parent_id, reply, date_answers, blog_post_for_consultation_id, users_id
cities_id-> cities_name
reports_id-> reports_description, pets_id
reports_id , pets_id→ users_id
pet_status_id->node, pet_status_type
therapy_id->appoitmentDate, therapy_description
diagnostics_id-> diagnostics_description
medecines_id-> medecines_name, medecines_description
pets_id-> pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, users_id
pet_galery_id->image, pets_id
orders_id → userid
products_id-> products_name, products_description, category, dateAdded, isActive, price, available_quantity
products_id, orders_id → quantity
breeds_id-> breeds_name, type_of_pets_id
type_of_pets_id->kind_of_pet, type_of_pets_description
medecines_id → manufacturers_id
vet_centers_id, pets_id → pet_status_id)
Клуч (pet_cares_id, blog_post_answers_id, cities_id, reports_id, therapy_id, medecines_id, pet_galery_id, orders_id, products_id, breeds_id)
R1 n R2 = jobs_id, клуч за R1 што значи нема губење на податоци.

R2 не е во 2NF поради pet_cares_id ->title, description, start_date, dateEnding
pet_cares_id +={ pet_cares_id , title, description, start_date, dateEnding}
R21 (pet_cares_id , title, description, start_date, dateEnding) клуч pet_cares_id, BCNF
F21 { pet_cares_id ->title, description, start_date, dateEnding}
R22 (pet_cares_id, vet_centers_id, name, address, vet_centers_description, workingHours, latitude, longitude,roles_id, type, users_id, first_name, last_name, phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title, blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, diagnostics_description, medecines_id, manufacturers_name, medecines_description, manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id, products_id, products_name, products_description, category, dateAdded,isActive, price, available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description )
F22 = ( vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude
roles_id->type
users_id -> first_name, last_name, phoneNumber, email, password, roles_id
blog_post_for_consultation_id -> blog_post_title, blog_post_description, dateAsked, users_id
blog_post_answers_id ->parent_id, reply, date_answers, blog_post_for_consultation_id, users_id
cities_id-> cities_name
reports_id-> reports_description, pets_id
reports_id , pets_id→ users_id
pet_status_id->node, pet_status_type
therapy_id->appoitmentDate, therapy_description
diagnostics_id-> diagnostics_description
medecines_id-> medecines_name, medecines_description
pets_id-> pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, users_id
pet_galery_id->image, pets_id
orders_id → userid
products_id-> products_name, products_description, category, dateAdded, isActive, price, available_quantity
products_id, orders_id → quantity
breeds_id-> breeds_name, type_of_pets_id
type_of_pets_id->kind_of_pet, type_of_pets_description
medecines_id → manufacturers_id
vet_centers_id, pets_id → pet_status_id)
R22 n R21 = pet_cares_id, клуч за R21 => нема губење на податоци.

R22 не е во 2NF поради vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude
vet_centers_id +={ vet_centers_id, name, address, vet_centers_description, workingHours, latitude, longitude}
R221 (vet_centers_id, name, address, vet_centers_description, workingHours, latitude, longitude) клуч vet_centers_id, BCNF
F221 { vet_centers_id-> name, address, vet_centers_description, workingHours, latitude, longitude}
R222 (vet_centers_id,roles_id, type, users_id, first_name, last_name, phoneNumber, email, password, blog_post_for_consultation_id, blog_post_title, blog_post_description, dateAsked, blog_post_answers_id, parent_id, reply, date_answers, cities_id, cities_name, reports_id, reports_description, pets_id, pet_status_id, node, pet_status_type, therapy_id, appoitmentDate, therapy_description, diagnostics_id, diagnostics_description, medecines_id, manufacturers_name, medecines_description, manufacturers_id, city, state, manufacturers_name, manufacturers_description, pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, pet_galery_id, image, orders_id, products_id, products_name, products_description, category, dateAdded,isActive, price, available_quantity, quantity, breeds_id, breeds_name, kind_of_pet, type_of_pets_description )
F222 = (roles_id->type
users_id -> first_name, last_name, phoneNumber, email, password, roles_id
blog_post_for_consultation_id -> blog_post_title, blog_post_description, dateAsked, users_id
blog_post_answers_id ->parent_id, reply, date_answers, blog_post_for_consultation_id, users_id
cities_id-> cities_name
reports_id-> reports_description, pets_id
reports_id , pets_id→ users_id
pet_status_id->node, pet_status_type
therapy_id->appoitmentDate, therapy_description
diagnostics_id-> diagnostics_description
medecines_id-> medecines_name, medecines_description
pets_id-> pets_name, color, dateOfBirthday, pets_description, type_of_pets_id, users_id
pet_galery_id->image, pets_id
orders_id → userid
products_id-> products_name, products_description, category, dateAdded, isActive, price, available_quantity
products_id, orders_id → quantity
breeds_id-> breeds_name, type_of_pets_id
type_of_pets_id->kind_of_pet, type_of_pets_description
medecines_id → manufacturers_id
vet_centers_id, pets_id → pet_status_id)
R222 n R221 = vet_centers_id, клуч за R221 => нема губење на податоци.