Research Article

Two New Parametric Generalized RhNorm Fuzzy Information Measures

by  Vijay Prakash Tomar, Anshu Gahlawat
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 93 - Issue 13
Published: May 2014
Authors: Vijay Prakash Tomar, Anshu Gahlawat
10.5120/16275-6029
PDF

Vijay Prakash Tomar, Anshu Gahlawat . Two New Parametric Generalized RhNorm Fuzzy Information Measures. International Journal of Computer Applications. 93, 13 (May 2014), 22-27. DOI=10.5120/16275-6029

                        @article{ 10.5120/16275-6029,
                        author  = { Vijay Prakash Tomar,Anshu Gahlawat },
                        title   = { Two New Parametric Generalized RhNorm Fuzzy Information Measures },
                        journal = { International Journal of Computer Applications },
                        year    = { 2014 },
                        volume  = { 93 },
                        number  = { 13 },
                        pages   = { 22-27 },
                        doi     = { 10.5120/16275-6029 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A Vijay Prakash Tomar
                        %A Anshu Gahlawat
                        %T Two New Parametric Generalized RhNorm Fuzzy Information Measures%T 
                        %J International Journal of Computer Applications
                        %V 93
                        %N 13
                        %P 22-27
                        %R 10.5120/16275-6029
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper introduces two new parametric generalizations of one of existing norm fuzzy information measures with the proof of their validity. In addition, particular cases and important properties of the proposed measures are discussed. A numerical example is given to establish the similarity between the proposed norm fuzzy information measures with one of the existing norm fuzzy information measures. Further, a comparison among them is shown with the help of a table and graph.

References
  • Bhandari, D. and Pal, N. R. 1993. Some New Information Measures for Fuzzy Sets. Information Science. 67, 204–228.
  • Boekee, D. E. and Van Der Lubbe, J. C. A. 1980. The norm Information Measure. Information and Control. 45, 136–155.
  • De Luca, A. and Termini, S. 1972. A Definition of Non-probabilistic Entropy in the Setting of Fuzzy Set Theory. Information and Control. 20, 301–312.
  • Hooda, D. S. 2004. On Generalized Measures of Fuzzy Entropy. Mathematica Slovaca. 54, 315–325.
  • Hooda, D. S. and Ram, A. 2002. Characterization of a Generalized Measure of norm Entropy. Caribbean Journal of Mathematics and Computer Science. 8, 18–31.
  • Hooda, D. S. and Sharma, D. K. 2008. Generalized norm Information Measures. Journal of the Applied Mathematics. Statistics and Informatics (JAMSI). 4(2), 153–168.
  • Hooda, D. S. and Bajaj, R. K. 2008. On Generalized norm Measures of Fuzzy Information. Journal of the Applied Mathematics, Statistics and Informatics (JAMSI). 4(2), 199–212.
  • Hooda, D. S. and Jain, D. 2011. Generalized Norm Fuzzy Information Measures. Journal of the Applied Mathematics, Statistics and Informatics (JAMSI). 7(2), 1–10.
  • Kumar, S. 2009. Some More Results on norm Information Measure. Tamkang Journal of Mathematics. 40(1), 41–58.
  • Kumar, S. and Choudhary, A. 2012. Generalized Parametric norm Information Measure. Trends in Applied Sciences Research. 7, 350–369.
  • Pal, N. R. and Pal, S. K. 1989. Object Background Segmentation using New Definition of Entropy. Proc, Inst. Elec. Eng. 136, 284–295.
  • Shannon, C. E. 1948. The Mathematical Theory of Communication. Bell Syst. Tech. Journal. 27, 423–467.
  • Zadeh, L. A. 1965. Fuzzy Sets. Information and Control. 8, 338–353.
  • Zadeh, L. A. 1968. Probability Measures of Fuzzy Events. Journal of Mathematical Analysis and Applications. 23, 421–427.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Fuzziness Fuzzy set Fuzzy measure of information norm fuzzy information measure.

Powered by PhDFocusTM