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Jadeja was charged with a breach of Level 2, while Anderson faces a hearing on 1st August into a more serious breach of Level 3 of the Code of Conduct.
In his press conference ahead of the third Test, Dhoni made it clear that he is unhappy that his player has been punished.
"To me, it is a very hurtful decision, frankly, because I felt a lot of things were neglected in judging the case," Dhoni began.
"If you see, what exactly happened, the umpires called for lunch and we started walking. I don't want to take any other individual's name.
"We started walking, and the other individual who again used foul language against Jadeja. I had to step in the middle, and by the time we reached the ropes I thought the thing has diffused.
"By the time we were going through the members' area I was ahead of Jadeja. Jadeja was a couple of yards behind me. Again something happened. Something was told to him. And he just turned across to the individual, and after that he was pushed.
"And he barely gained his balance, and he turned to see as to what is happening. And on the basis of that he is fined."
The punishment handed to Jadeja came under a clause relating to 'conduct contrary to the spirit of the game'.
"It was said that it was against the spirit of the game, and everything," Dhoni continued.
"What we have to see is, we can't ignore what has happened. If someone is saying something to you from behind and you just turn and you look, that is not aggressive.
"Especially the fact that the bat was under his armpit throughout - right from lunch till he entered the dressing room.
"Not one word was spoken by him. So I feel that a lot of things were neglected. It's for you guys to decide the things I am saying and if I have not lied.
"When it comes to the factual matter, whether Jadeja - whatever he did - was not aggressive. I don't think there was even a little bit of aggression in that, and that is the reason why I am very hurt by the verdict that has been given. I think that's very important."
Meanwhile, speaking about matters on the field, Dhoni says it is important that he and his team make a good assessment of the pitch at the Ageas Bowl in Southampton.
© Cricket World 2014