Multi-person and multi-criteria decision making with the induced probabilistic ordered weighted average distance

Abstract

This paper presents a new approach for selecting suppliers of products or services, specifically with respect to complex decisions that require evaluating different business characteristics to ensure their suitability and to meet the conditions defined in the recruitment process. To address this type of problem, this study presents the multi-person multi-criteria induced ordered weighted average distance (MP-MC-IOWAD) operator, which is an extension of the OWA operators that includes the notion of distances to multiple criteria and expert valuations. Thus, this work introduces new distance measures that can aggregate the information with probabilistic information and consider the attitudinal character of the decision maker. Further extensions are developed using probabilities to form the induced probabilistic ordered weighted average distance (IPOWAD) operator. An example in the management of insurance policies is presented, where the selection of insurance companies is very complex and requires the consideration of subjective criteria by experts in decision making.

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Acknowledgements

We would like to thank the associate editor and the anonymous reviewers for valuable comments that have significantly improved the quality of the paper. Support from the MAPFRE Foundation, the Fondecyt Regular Programme of the Chilean Government and the European Commission through the project PIEF-GA-2011-300062, is gratefully acknowledged.

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Correspondence to Agustín Torres-Martínez.

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Casanovas, M., Torres-Martínez, A. & Merigó, J.M. Multi-person and multi-criteria decision making with the induced probabilistic ordered weighted average distance. Soft Comput 24, 1435–1446 (2020). https://doi.org/10.1007/s00500-019-03977-6

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Keywords

  • Fuzzy logic
  • Multi-criteria decision making
  • OWA operator
  • Fuzzy distances