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Non-Euclidean distance measures in spatial data decision analysis: investigations for mineral potential mapping

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  • Maysam Abedi

    (University of Tehran)

Abstract

As a powerful tool for decision analysis, fifteen distance measures are incorporated into the technique for order preference by similarity to ideal solution (TOPSIS) to carry out a knowledge-driven approach in mineral exploration, whereby a multi-criterion decision making problem is solved for spatial data analysis. The kernel of the original version of the TOPSIS method as an integral part of the analysis will be defined on Euclidean distance. This research investigates to define the kernel on each of 15 distance measures from four general families of functions including L1, intersection, inner product and fidelity. To check the performance of each distance measure, the North Narbaghi porphyry copper mine in Iran was chosen. The significance of kernel substitution lies in the improvement of synthesized evidence maps in comparison to the Euclidean-based TOPSIS method in this study.

Suggested Citation

  • Maysam Abedi, 2021. "Non-Euclidean distance measures in spatial data decision analysis: investigations for mineral potential mapping," Annals of Operations Research, Springer, vol. 303(1), pages 29-50, August.
    • Handle: RePEc:spr:annopr:v:303:y:2021:i:1:d:10.1007_s10479-020-03681-x
    DOI: 10.1007/s10479-020-03681-x
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    References listed on IDEAS

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    1. Pranab Biswas & Surapati Pramanik & Bibhas C. Giri, 2019. "NonLinear Programming Approach for Single-Valued Neutrosophic TOPSIS Method," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 307-326, July.
    2. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2004. "Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS," European Journal of Operational Research, Elsevier, vol. 156(2), pages 445-455, July.
    3. TAVANA, Madjid & HATAMI-MARBINI, Adel, 2011. "A group AHP-TOPSIS framework for human spaceflight mission planning at NASA," LIDAM Reprints CORE 2362, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Rezaei Somayeh & Lotfi Mohammad & Jafari Mohammad Reza & Afzal Peyman & Meigoony Mojtaba Shamseddin & Khalajmasoumi Masoumeh, 2015. "Investigation of copper and gold prospects using index overlay integration method and multifractal modeling in Saveh 1:100,000 sheet, Central Iran," Gospodarka Surowcami Mineralnymi / Mineral Resources Management, Sciendo, vol. 31(4), pages 51-74, December.
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