Some people use horoscopes and astrology signs to determine whether they are compatible with other people, especially in relationships. The positive and negatives of each sign are mere generalizations. However, some people are comforted by those general attributes.
Likewise, you can always put together the pros and cons of characters with each other in their potential relationships.
JACK and KATE.
Pros: Both have lost Daddy issues so they have a common focus.
Cons: Jack tries to fix his problems to gain his father's favor, while Kate runs away from her problems.
SAWYER and KATE.
Pros: Both have a reckless, wild and manipulative to criminal mindset.
Cons: Both have a reckless, wild and manipulative to criminal mindset.
SAYID and SHANNON.
Pros: Both feel abandoned by their families but for different reasons.
Cons: He is sentimental while she is too selfish.
LOCKE and HELEN.
Pros: Both longed to have their own family.
Cons: Locke was obsessed with his past to not see a hopeful future with Helen. Helen was too naive and supportive of Locke to tell that he would never change.
HURLEY and LIBBY.
Pros: Both tend to be introverted followers with an easy sense of humor.
Cons: Both have hidden emotional and psychological scars that block them from opening up to others.
CHARLIE and CLAIRE.
Pros: Youthful spirits that are trying to run away from their personal faults and failures.
Cons: Charlie's addictive personality traits and Claire's psychological paranoia to the pressure of family life.
JIN and SUN.
Pros: They share the same culture but from different parts of the social spectrum. They are both rebellious against their position in life. They share a similar goal.
Cons: Their personal ambitions lead to personality conflicts with other people. Personal goals outweigh relationship goals.
DANIEL and CHARLOTTE.
Pros: An analytical and practical mind tend to work well together as a team.
Cons: Daniel's sheltered life with his dominant mother makes it difficult for him to communicate, while Charlotte's personal drive stifles other people around her.
As in real life, the LOST characters' relationships had their strong points and their weaknesses. In the eight relationships noted above, five failed. One was a dubious affair and the other two bonded apparently in the after life.