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A graph-theoretic perspective on the links-to-concepts ratio expected in cognitive maps

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  • Georgiou, Ion

Abstract

Strategic options development and analysis (SODA) has maintained that it expects a links-to-concepts ratio of 1.15-1.20 in cognitive maps. This expectation is investigated from a graph-theoretic perspective in order to highlight two issues that the SODA literature has not mentioned. First, the ratio is impossible to achieve in tree-structured maps. Second, adherence to the expectation can result in minimally connected maps. Both issues are discussed with examples and calculations, and a conclusion is drawn that graph theory is a potentially rich, yet relatively untapped, source of insights for not only SODA, but for soft OR and systems thinking in general.

Suggested Citation

  • Georgiou, Ion, 2009. "A graph-theoretic perspective on the links-to-concepts ratio expected in cognitive maps," European Journal of Operational Research, Elsevier, vol. 197(2), pages 834-836, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:2:p:834-836
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    References listed on IDEAS

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    1. Eden, Colin, 2004. "Analyzing cognitive maps to help structure issues or problems," European Journal of Operational Research, Elsevier, vol. 159(3), pages 673-686, December.
    2. Colin Eden & Fran Ackermann & Steve Cropper, 1992. "The Analysis Of Cause Maps," Journal of Management Studies, Wiley Blackwell, vol. 29(3), pages 309-324, May.
    3. Michel G. Bougon, 1992. "Congregate Cognitive Maps: A Unified Dynamic Theory Of Organization And Strategy," Journal of Management Studies, Wiley Blackwell, vol. 29(3), pages 369-387, May.
    4. D Shaw & F Ackermann & C Eden, 2003. "Approaches to sharing knowledge in group problem structuring," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(9), pages 936-948, September.
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    3. van Winsen, Frankwin & de Mey, Yann & Lauwers, Ludwig & Van Passel, Steven & Vancauteren, Mark & Wauters, Erwin, 2013. "Cognitive mapping: A method to elucidate and present farmers’ risk perception," Agricultural Systems, Elsevier, vol. 122(C), pages 42-52.
    4. Georgiou, Ion, 2012. "Messing about in transformations: Structured systemic planning for systemic solutions to systemic problems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 392-406.
    5. Tan, Kim Hua & Zhan, YuanZhu & Ji, Guojun & Ye, Fei & Chang, Chingter, 2015. "Harvesting big data to enhance supply chain innovation capabilities: An analytic infrastructure based on deduction graph," International Journal of Production Economics, Elsevier, vol. 165(C), pages 223-233.

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