On the structuring of systems with fuzzy relations

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 29, Issue 4, 1999, Pages 547-553

  Raghuvanshi, P S ^a   Kumar, Satish ^a  

^a DAYALBAGH EDUCATIONAL INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIGITAL ARITHMETIC; FUZZY SETS; MATRIX ALGEBRA; OPTIMIZATION; RECURSIVE FUNCTIONS;

CYCLIC CONDENSATION; CYCLIC SYSTEMS; FUZZY RELATIONS; FUZZY STRUCTURAL MODELING; HIERARCHIES; MINIMUM EDGE CONNECTION MATRIX;

SYSTEM THEORY;

EID: 0033177829     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/3477.775273     Document Type: Article

References (22)

1. N. Deo, Graph Theory with Applications to Engineering and Computer Science. New Delhi, India: Prentice-Hall, 1990.
2. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications. New York: Academic, 1980.
3. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications. Englewood Cliffs, NJ: Prentice-Hall, 1995.
4. R. K. Ragade, "Fuzzy interpretive structural modeling," J. Cybern., vol. 6, pp. 189-211, 1976.
5. S. M. Roberts and B. Flores, "Systematic Generation of Hamiltonian Circuits," Commun. ACM, vol. 9, no. 9, pp. 690-694, 1966.
6. P. S. Raghuvanshi and S. Kumar, "A new approach to generalized structural modeling," in Recent Trends in Applied Systems Research, P. Kalra Ed. New Delhi, India: Allied, 1993, pp. 131-134.
7. E. Tazaki and M. Amagasa, "Structural modeling in a class of systems using fuzzy sets theory," Fuzzy Sets Syst., vol. 2, pp. 87-103, 1979.
8. M. G. Thomason, "Convergence of powers of a fuzzy matrix," J. Math. Anal. Applicat., vol. 57, pp. 476-480, 1977.
9. J. C. Tiernan, "An efficient search algorithm to find the elementary circuits of a graph," Commun. ACM, vol. 13, no. 12, pp. 722-726, 1970.
10. J. P. Tremblay and R. Manohar, Discrete Mathematical Structures with Applications to Computer Science. New York: McGraw-Hill, 1987.
11. D. Waltz and J. A. Feldman Eds., Connectionist Models and Their Implications: Readings from Cognitive Science. Norwood, NJ: Albex, 1988.
12. J. N. Warfield, "On arranging elements of a hierarchy in graphic form," IEEE Trans. Syst., Man, Cybern., vol. SMC-3, no. 2, pp. 121-132, 1973.
13. _, "Binary matrices in system modeling," IEEE Trans. Syst., Man, Cybern., vol. SMC-3, no. 5, pp. 441-449, 1973.
14. _, "Developing subsystem matrices in structural modeling," IEEE Trans. Syst., Man, Cybern., vol. SMC-4, no. 1, pp. 74-80, 1974.
15. _, "Developing interconnection matrices in structural modeling," IEEE Trans. Syst., Man, Cybern., vol. SMC-4, no. 1, pp. 81-87, 1974.
16. _, "Toward interpretation of complex structural models," IEEE Trans. Syst., Man, Cybern., vol. SMC-4, no. 5, pp. 405-417, 1974.
17. L.-M. Fu, Neural Networks in Computer Intelligence. Singapore: McGraw-Hill, 1995.
18. A. Ouchi, M. Kurihara, and I. Kaji, "A theorem and a procedure for the complete implication matrix of system interconnection matrices," IEEE Trans. Syst., Man, Cybern., vol. SMC-14, no. 3, pp. 545-550, 1984.
19. _, "Implication theory and algorithm for reachability matrix model," IEEE Trans. Syst., Man, Cybern., vol. SMC-16, no. 4, pp. 610-616, 1986.
20. A. P. Sage, Methodology of Large Scale Systems. New York: McGraw-Hill, 1977.
21. S. E. Fahlman and G. E. Hinton, "Connectionist architectures for artificial intelligence," IEEE Comput., vol. 19, pp. 100-109, Jan. 1987.
22. P. S. Raghuvanshi, "Fuzzy neural systems for real world knowledge representation," Ph.D. dissertation, Dept. Physics and Comput. Sci., Dayalbagh Educational Institute, Agra, India, Dec. 1995.