vector-based-uncertain-ordered-density-weighted-averaging:-a-family-of-incentive-oriented-aggregation-operators-–-springer

Vector-based uncertain ordered density weighted averaging: a family of incentive-oriented aggregation operators – Springer

Abstract

Incentive is a common phenomenon in the process of decision management. It is important and necessary to integrate incentive requirement into the decision-making process. To this problem, the paper proposed a new family of aggregation operators, denoted the vector-based uncertain ordered density weighted averaging (V-UODWA) operators. The proposed V-UODWA operators first classify the attributes performances into different clusters by considering their development level and trend. Then, the attributes performances are aggregated by the way of local clusters. In this process, it is found the V-UODWA operator can realize the reward or punishment effect by setting appropriate decision-maker’s attitude measurement and V-UODWA weights. The main properties of the V-UODWA operator are discussed, including commutativity, idempotency, boundness, and monotonicity under conditions. The application and the primary characteristics of the V-UODWA operators are illustrated by numerical examples and comparison analysis. The main contribution of the research is that the proposed V-UODWA operators have the effect of incentive management, especially when considering the importance of the attributes, which can be used to guide the sustainable development of alternatives. In addition, the attributes performances are aggregated in the form of vectors, which can greatly improve the aggregation efficiency. The proposed V-UODWA operators have a good application prospect in the fields of incentive management and behavior guidance of organizational personnel.

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Acknowledgements

The authors are very grateful to the Managing Editor and the anonymous reviewers for their insightful and constructive comments and suggestions that have led to an improved version of this paper.

Funding

This study was funded by the National Natural Science Foundation of China (Nos. 72171041, 72171040, and 71961018).

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Authors and Affiliations

  1. School of Business Administration, Northeastern University, Shenyang, 110167, China

    Weiwei Li, Pingtao Yi & Jun Liu

  2. School of Economics & Management, Nanchang University, Nanchang, 330031, China

    Lingyu Li

Corresponding author

Correspondence to Pingtao Yi.

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Li, W., Yi, P., Li, L. et al. Vector-based uncertain ordered density weighted averaging: a family of incentive-oriented aggregation operators. Soft Comput (2024). https://doi.org/10.1007/s00500-024-09732-w

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  • DOI: https://doi.org/10.1007/s00500-024-09732-w

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