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A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

by Syed Shane Haider Rizvi, Ali Hasan, R. A Khan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 86 - Number 12
Year of Publication: 2014
Authors: Syed Shane Haider Rizvi, Ali Hasan, R. A Khan
10.5120/15039-3385

Syed Shane Haider Rizvi, Ali Hasan, R. A Khan . A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index. International Journal of Computer Applications. 86, 12 ( January 2014), 30-33. DOI=10.5120/15039-3385

@article{ 10.5120/15039-3385,
author = { Syed Shane Haider Rizvi, Ali Hasan, R. A Khan },
title = { A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index },
journal = { International Journal of Computer Applications },
issue_date = { January 2014 },
volume = { 86 },
number = { 12 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 30-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume86/number12/15039-3385/ },
doi = { 10.5120/15039-3385 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:04:04.495133+05:30
%A Syed Shane Haider Rizvi
%A Ali Hasan
%A R. A Khan
%T A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index
%J International Journal of Computer Applications
%@ 0975-8887
%V 86
%N 12
%P 30-33
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a new method based on fuzzy similarity measure to investigate isomorphism among kinematic chains having same number of links and degrees of freedom (d. o. f. ). Two different similarity measures which are available in the literature are used to compare the numerous distinct chains.

References
  1. Davies T. H. and Crossley F. E. 1966. Structural analysis of plane linkages by Franke's condensed notation, J. Mech. , Vol. 1(2), pp. 171-183.
  2. Yadav J. N. and Pratap. C. R. 1996. Computer aided detection of isomorphism among kinematic chains and mechanisms using the link-link multiplicity distance concept, Mech. Mach. Theory, Vol. 31(4), pp. 873-877.
  3. Mruthyunjaya T. S. and Balasubramanian H. R. 1987. In quest of reliable and efficient computational test for detection of isomorphism in kinematic chains, Mech. Mach. Theory, Vol. 22(2), pp. 131-139.
  4. Rao A. C. and Prasad V. V. N. Raju. 2000. Loop based detection of isomorphism among chains, inversions and type of freedom in multi degree of freedom chain. J. Mech. Des. , Vol. 122(1), pp. 31-41.
  5. Yan H. S. and Hwang W. M. 1983. A method for identification of planar linkage Chains. Mech. Tran. Auto. Des. ASME Trans. , Vol. 105(4), pp. 658-662.
  6. Mruthyunjaya T. S. 1984. A computerized methodology for structural synthesis of kinematic chains: Part 1- formulation. Mech. Mach. Theory, Vol. 19(6), pp. 487–495.
  7. Agarwal V. P. and Rao J. S. 1985. Identification of multi-loop kinematic chains and their paths. J. Int. Eng. (I) ME, Vol. 66, pp. 6-11.
  8. Ambekar A. G. and Agarwal V. P. 1987. Canonical numbering of kinematic chains, mechanisms, path generators and function generators using min codes. Mech. Mach. Theory, Vol. 22(5), pp. 453-461.
  9. Rao A. C. and Varda. D. Raju 1991. Application of the hamming number technique to detect isomorphism among kinematic chains and inversions. Mech. Mach. Theory, Vol. 26(1), pp. 55-75.
  10. Shin J. K. and Murthy S. Krishna. 1994. On identification and conical numberings of pin jointed kinematic chains. J. Mech. Des ASME, Vol. 116(1), pp. 182-188.
  11. Hwang W. M. and Hwang Y. W. . . 1992. Computer aided structural synthesis of planar kinematic chains with simple joints. Mech. Mach. Theory, Vol. 27(2), pp. 189–199.
  12. Yadav J. N. , Pratap C. R. and Agarwal V. P. 1996. Computer aided detection of isomorphism among kinematic chains and mechanisms using the link-link multiplicity distance concept. Mech. Mach. Theory, Vol. 31(7), pp. 873–877.
  13. Kong F. G. , Q. Li and Zhang W. J. 1999. An artificial neural network approach to mechanism kinematic chain isomorphism identification. Mech. Mach. Theory, Vol. 34(2), pp. 271–283.
  14. Quist F. F. and Soni. A. H. 1971. Structural synthesis and analysis of kinematic chains using path matrices. In. Proceedings of the 3rd World Congress for Theory of Machines and Mechanisms, pp. D161–D176.
  15. Chang Z. , Zhang C. , Yang Y. and Wang Y. 2002. A new method to mechanism kinematic chain isomorphism Identification. Mech. Mach. Theory, Vol. 37(4), pp. 411–417.
  16. Sunkari R. P. and Schmidt L. C. 2006. Reliability and efficiency of the existing spectral methods for isomorphism detection. J. Mech. Des. , Vol. 128(6), pp. 1246–1252.
  17. Ding H. and Huang Z. 2007. The establishment of the canonical perimeter topological graph of kinematic chains and isomorphism identification. J. Mech. Des. , Vol. 129(9), pp. 915–923.
  18. Hasan A. and Khan R. A. 2008. Isomorphism and inversions of kinematic chains up to ten links using degrees of freedom of kinematic pairs. Int. J. Comp. Methods, Vol. 5(2), pp. 329–339.
  19. Rao. A. C. 2000. Application of fuzzy logic for the study of isomorphism, inversions, symmetry, parallelism and mobility in kinematic chains. Mechanism and Machine Theory 35 pp. 1103-1116
  20. Wang WJ. 1997. New similarity measures on fuzzy sets and on elements. Fuzzy Sets Syst. 85:305–309.
  21. Pappies CP, Karacapilidis NI. 1993. A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets Syst. 56:171–174.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy similarity measure kinematic chain isomorphism

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