Fuzzy Coding Theorem on Generalized Fuzzy Cost Measure
Keywords:Fuzzy Set, Fuzzy Entropy Function, Fuzzy useful Entropy Function, Fuzzy Cost measure function and Fuzzy Coding Theorem
In the literature of information theory several types of coding theorems involving fuzzy entropy functions exists. In this paper, some new fuzzy coding theorems have been obtained by considering fuzzy cost measure involving utilities. The fuzzy coding theorems obtained here are not only new but also generalizes some well known results available in the literature.
â€¢ Belis, M. and Guiasu, S. (1968): â€˜A quantitative and qualitative measure of information in cybernetic systemâ€™, IEEE Transaction on information theory, Vol.IT-14, pp. 593-594.
â€¢ De Luca and S. Termini (1972): A Definition of Non-probabilistic Entropy in the Setting of fuzzy sets theory, Information and Control, Vol.20, pp. 301-312.
â€¢ Guiasu, S. and Picard,C.F. (1971): Borne inferieure de la longer de certain codes, C.R. Academic Sciences, Paris,Vol. 273, pp. 248-251
â€¢ Hooda, D. S. and Ram, A. (1998): â€˜Characterization of Non-additive â€˜usefulâ€™ information measureâ€™, Recent Advances in information theory, Statistics and Computer applications, CCC Haryana, Agriculture University, Hisar, pp. 64-77
â€¢ Kraft, L.J. (1949): â€œA device for quantizing grouping and coding amplitude modulates pulsesâ€, M. S. Thesis, Department of Electrical Engineering, MIT, Cambridge.
â€¢ Longo,G. (1976): â€œA noiseless coding theorem for source having utilitiesâ€, SIAM Journal of Applied Mathematics, Vol.30, pp.739-748
â€¢ Shannon, C.E. (1948): The Mathematical theory of Communication, Bell Syst. Tech. Journal, Vol.27, pp.423-467.
â€¢ Shisha, O. (1967): â€œInequalitiesâ€, Academic press, New York.
â€¢ Zadeh, L. A. (1965): Fuzzy sets. Information and Control, Vol.8, pp. 338-353.
How to Cite
- Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.
- It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.
- The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.
- The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
- The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.