Abstract
This study investigates cause and effect relationships in cognitive maps and the coexistence of pairs of such relationships in cognitive maps of a chosen group of decision-makers. We call the existence of a pair of causal relationships shared by the group of decision-makers in their cognitive maps inter-causal relationship. We investigate the coexistence of the chosen pairs of causal relationships in the maps in terms of one of the causal relationships being a necessary and/or sufficient condition for the existence of the other using the tools of fuzzy-set qualitative comparative analysis. We develop and propose a framework to extract and examine the inter-causal relationships from the cognitive maps. The proposed method is based on set-theoretic consistency and coverage measures. We used empirical data (of 71 cognitive maps) collected from a cognitive mapping approach performed by individuals in management teams within a strategic decision-making simulation process to test the proposed approach. Empirical results show that our method can identify inter-causal relationships and provide analytic results for a more complex interpretation if the information arises from the structure of cognitive maps.
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Notes
- 1.
If P and Q are fuzzy sets on X then \(P\cap Q\) is a fuzzy set on X as well and its membership function is defined, for the purpose of our calculations, using the \(\min \) t-norm, that is for any \(x\in X\) we have \((P\cap Q)(x)=\min \{P(x),Q(x)\}\).
References
Avdeeva, Z.K., Kovriga, S.V.: On governance decision support in the area of political stability using cognitive maps. IFAC-PapersOnLine 51(30), 498–503 (2018). https://doi.org/10.1016/j.ifacol.2018.11.277
Ayala, A.P., Azuela, J.H.S.A., Gutiérrez, A.: Cognitive maps: an overview and their application for student modeling. Computación y Sistemas 10 (2007)
Bergman, J.P., Knutas, A., Luukka, P., Jantunen, A., Tarkiainen, A., Karlik, A., Platonov, V.: Strategic interpretation on sustainability issues-eliciting cognitive maps of boards of directors. Corp. Govern. 16(1), 162–186 (2016)
Bergman, J.P., Luukka, P., Jantunen, A., Tarkiainen, A.: Cognitive diversity, managerial characteristics and performance development among the cleantech. Int. J. Knowl.-Based Org. 10(1) (2020). https://doi.org/10.4018/IJKBO.2020010101
Bevilacqua, M., Ciarapica, F.E., Mazzuto, G.: Analysis of injury events with fuzzy cognitive maps. J. Loss Preven. Process Ind. 25, 677–685 (2012)
Carvalho, J.P., Tome, J.A.B.: Fuzzy Mechanisms for Qualitative Causal Relations. Springer, Berlin, Heidelberg (2000)
Farsari, I., Butler, R.W., Szivas, E.: The use of cognitive mapping in analysing sustainable tourism policy: methodological implications. Tour. Recreat. Res. 145–160 (2010)
Froelich, W., Papageorgiou, E.I., Samarinas, M., Skriapas, K.: Application of evolutionary fuzzy cognitive maps to the long-term prediction of prostate cancer. Appl. Soft Comput. 12, 3810–3817 (2012)
Gray, S.A., Zanre, E., Gray, S.R.J.: Fuzzy cognitive maps as representation of mental models and group beliefs. Fuzzy Cogn. Maps Appl. Sci. Eng. 29–48 (2014)
Gray, S.A., Gray, S., De Kok, J.L., Helfgott, A.E.R., O’Dwyer, B., Jordan, R., Nyaki, A.: Using fuzzy cognitive mapping as a participatory approach to analyze change, preferred states, and perceived resilience of social-ecological systems. Ecol. Soc. 20(2) (2015). https://doi.org/10.5751/ES-07396-200211
Kent, R.: Using fsQCA: A Brief Guide and Workshop for Fuzzy- Set Qualitative Comparative Analysis (Teaching Notes). University of Manchester (2008)
Kumbure, M.M., Tarkiainen, A., Luukka, P., Stoklasa, J., Jantunen, A.: Relation between managerial cognition and industrial performance: an assessment with strategic cognitive maps using fuzzy-set qualitative comparative analysis. J. Bus. Res. 114, 160–172 (2020)
Langfield-Smith, K., Wirth, A.: Measuring differences between cognitive maps. J. Oper. Res. Soc. 43, 1135–1150 (1992)
Mendonca, M., Angelico, B., Arruda, L.V.R., Neves, F.J.: A dynamic fuzzy cognitive map applied to chemical process supervision. Eng. Appl. Artif. Intell. 26, 1199–1210 (2013)
Mohammed, S., Ferzandi, L., Hamilton, K.: Metaphor no more: a 15-year review of the team mental model construct. J. Manag. 36, 876–910 (2010)
Motlagh, O., Tang, S.H., Ismail, N., Ramil, A.R.: An expert fuzzy cognitive map for reactive navigation of mobile robots. Fuzzy Sets Syst. 201, 105–121 (2012)
Mourhir, A., Rachidi, T., Papageorgiou, E.I., Karim, M., Alaoui, F.S.: A cognitive map framework to support integrated environmental assessment. Environ. Modell. Soft. 77, 81–94 (2016). https://doi.org/10.1016/j.envsoft.2015.11.018
Nápoles, G., Grau, I., Bello, R., Grau, R.: Two-steps learning of Fuzzy Cognitive Maps for prediction and knowledge discovery on the HIV-1 drug resistance. Exp. Syst. Appl. 41(3), 821–830 (2014). https://doi.org/10.1016/j.eswa.2013.08.012
Papageorgiou, E.I., Froelich, W.: Multi-step prediction for pulmonary infection with the use of evolutionary fuzzy cognitive maps. Neurocomputing 92, 28–35 (2012)
Papageorgiou, E.I., Markinos, A.T., Gemtos, T.A.: Fuzzy cognitive map based approach for predicting yield in cotton crop production as a basis for decision support system in precision agriculture application. Appl. Soft Comput. 11, 3643–3657 (2011)
Ragin, C.C.: Redesigning Social Inquiry: Fuzzy Sets and Beyond (2008)
Robbins, S.P.: Organizational Behavior, 11th edn. Pearson Education, Upper Saddle River, NJ (2005)
Schneider, C., Wagemann, C.: Set-Theoretic Methods for the Social Sciences: A Guide to Qualitative Comparative Analysis. Cambridge University Press, Cambridge, UK (2012)
Skaaning, S.E.: Assessing the robustness of crisp-set and fuzzy-set QCA results. Sociol. Methods Res. 40, 391–408 (2011)
Stoklasa, J., Luukka, P., Talášek, T.: Set-theoretic methodology using fuzzy sets in rule extraction and validation—consistency and coverage revisited. Inf. Sci. 412–413, 154–173 (2017)
Stoklasa, J., Talášek, T., Luukka, P.: On consistency and coverage measures in the fuzzified set-theoretic approach for social sciences: dealing with ambivalent evidence in the data. In: Proceedings of the 36th International Conferences on Mathematical Methods in Economics, pp. 521–526 (2018)
Stylios, C.D., Groumpos, P.P.: Application of fuzzy cognitive maps in large manufacturing systems. IFAC Proc. Vol. 31(20), 521–526 (1998). https://doi.org/10.1016/S1474-6670(17)41848-9
Tepes, A., Neumann, M.B.: Multiple perspectives of resilience: a holistic approach to resilience assessment using cognitive maps in particular engagement. Water Res. 178 (2020)
Tolman, E.C.: Cognitive maps in rats and men. Psychol. Rev. 55(4), 189–208 (1948)
Zhu, Q., Wang, R., wang Z.: A cognitive map model based on spatial and goal-oriented mental exploration in rodents. Behav. Brain Res. 256, 128–139 (2013)
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Mailagaha Kumbure, M., Luukka, P., Tarkiainen, A., Stoklasa, J., Jantunen, A. (2022). An Investigation of Hidden Shared Linkages Among Perceived Causal Relationships in Cognitive Maps. In: Luukka, P., Stoklasa, J. (eds) Intelligent Systems and Applications in Business and Finance. Studies in Fuzziness and Soft Computing, vol 415. Springer, Cham. https://doi.org/10.1007/978-3-030-93699-0_2
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