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An efficient procedure for transitive coupling in ISM

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3 Author(s)
Ohuchi, A. ; Dept. of Electr. Eng., Hokkaido Univ., Sapporo, Japan ; Kurihara, M. ; Kaji, Ikuo

Transitive coupling is a procedure encountered in structuring complex systems using interpretive structural modeling (ISM). It involves the interconnection of two subsystems defined on the same contextual relation that is transitive. An efficient procedure or transitive coupling is proposed. The procedure presented is highlighted by savings in computer time and storage and by ease of programming. For a given value of one or zero for an unknown xij or yij, all inferences can be drawn with O(mn) computer time and θ((m+n)2) storage. Sufficient results obtained by a computer experiment using randomly generated problems are in close agreement with the results of the theoretical analysis.

Published in:

Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-15 ,  Issue: 3 )

Date of Publication:

May-June 1985

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