Global Journal of Flexible Systems Management

, Volume 18, Issue 4, pp 331–351 | Cite as

Modified ISM/TISM Process with Simultaneous Transitivity Checks for Reducing Direct Pair Comparisons

Original Research


Both interpretive structural modeling (ISM) and total interpretive structural modeling (TISM) are pair comparison methods to evolve hierarchical relationships among a set of elements. These methods help to convert ill-structured mental models into well-articulated models that act as base for conceptualization and theory building. One major challenge in applications of these methods is the number of pair comparisons to be made that increase exponentially with the increase in number of elements. Another challenge is the transitivity check on reachability matrix. This paper proposes a modified ISM/TISM process that addresses both these challenges by simultaneously carrying out transitivity checks along with the successive pair-wise comparisons. The pairs having transitive relationships in the process need not to be compared further. This reduces the expert-based pair comparisons drastically and provides the fully transitive reachability matrix in one go, thereby enabling easy implementation. It provides a complete flow chart for the same and is illustrated with already reported examples in past literature.


ISM Pair comparisons Reachability matrix TISM Transitivity check 


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Copyright information

© Global Institute of Flexible Systems Management 2017

Authors and Affiliations

  1. 1.Department of Management StudiesIndian Institute of Technology DelhiNew DelhiIndia

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