Generalization of fuzzy noiseless source coding with utilities

In coding theory, we study various properties of codes for application in data compression, cryptography, error correction and network coding. The study of codes is introduced in information theory, electrical engineering, mathematics and computer sciences for the transmission of data through reliable and efficient methods. We have to consider how coding of messages can be done efficiently so that maximum number of messages can be sent over a noiseless channel in a given time. Thus, minimum value of mean codeword length subject to a given constraint on codeword lengths has to be founded. In this paper, average code word length is proposed. Corresponding to newly defined average code word length a relationship with a result of generalized fuzzy information measures is introduced. Some Noiseless coding theorems connected with fuzzy information measure are also analyzed.