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Probabilistic OWA distances applied to asset management

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Abstract

Average distances are widely used in many fields for calculating the distances between two sets of elements. This paper presents several new average distances by using the ordered weighted average, the probability and the weighted average. First, the work presents the probabilistic ordered weighted averaging weighted average distance (POWAWAD) operator. POWAWAD is a new aggregation operator that uses distance measures in a unified framework between the probability, the weighted average and the ordered weighted average (OWA) operator that considers the degree of importance that each concept has in the aggregation. The POWAWAD operator includes a wide range of particular cases including the maximum distance, the minimum distance, the normalized Hamming distance, the weighted Hamming distance and the ordered weighted average distance (OWAD). The article also presents further generalizations by using generalized and quasi-arithmetic means forming the generalized probabilistic ordered weighted averaging weighted average distance (GPOWAWAD) operator and the quasi-POWAWAD operator. The study ends analysing the applicability of this new approach in the calculation of the average fixed assets. Particularly, the work focuses on measuring the average distances between the ideal percentage of fixed assets that the companies of a specific country should have versus the real percentage of fixed assets they have. The illustrative example focuses on the Asian market.

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Acknowledgements

We would like to thank the anonymous reviewers for valuable comments that have improved the quality of the paper. Support from the Distinguished Scientist Fellowship Programme from King Saud University (Saudi Arabia) and the Chilean Government through the Fondecyt Regular Programme (Project Number 1160286) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Management Control and Information Systems, School of Economics and Business, University of Chile, Av. Diagonal Paraguay 257, 8330015, Santiago, Chile

    José M. Merigó

  2. Biomedical Technology Department, College of Applied Medical Sciences, King Saud University, Riyadh, Saudi Arabia

    José M. Merigó & Nabil Alrajeh

  3. School of Mathematical Sciences, Anhui University, 230601, Hefei, Anhui, China

    Ligang Zhou

  4. Business School, Nanjing Audit University, 211815, Nanjing, China

    Dejian Yu

  5. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh, Saudi Arabia

    Khalid Alnowibet

Authors
  1. José M. Merigó
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  2. Ligang Zhou
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  3. Dejian Yu
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  4. Nabil Alrajeh
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  5. Khalid Alnowibet
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Correspondence to José M. Merigó.

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Communicated by C. Kahraman.

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Merigó, J.M., Zhou, L., Yu, D. et al. Probabilistic OWA distances applied to asset management. Soft Comput 22, 4855–4878 (2018). https://doi.org/10.1007/s00500-018-3263-1

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