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Probabilistic uncertain linguistic TODIM method based on the generalized Choquet integral and its application

Xu Xiuqin (College of Science, Jimei University, Xiamen, China)
Xie Jialiang (College of Science, Jimei University, Xiamen, China)
Yue Na (College of Science, Jimei University, Xiamen, China)
Wang Honghui (College of Science, Jimei University, Xiamen, China)

International Journal of Intelligent Computing and Cybernetics

ISSN: 1756-378X

Article publication date: 5 January 2021

Issue publication date: 23 April 2021

157

Abstract

Purpose

The purpose of this paper is to develop a probabilistic uncertain linguistic (PUL) TODIM method based on the generalized Choquet integral, with respect to the interdependencies between criteria, for the selection of the best alternate in the context of multiple criteria group decision-making (MCGDM).

Design/methodology/approach

Owing to decision makers (DMs) do not always show completely rational and may have the preference of bounded rational behavior, this may affect the result of the MCGDM. At the same time, criteria interaction is a focused issue in MCGDM. Hence, a novel TODIM method based on the generalized Choquet integral selects the best alternate using PUL evaluation, where the generalized Choquet integral is used to calculate the weight of criterion. The generalized PUL distance measure between two probabilistic uncertain linguistic elements (PULEs) is calculated and the perceived dominance degree matrices for each alternate relative to other alternates are obtained. Furthermore, the comprehensive perceived dominance degree of each alternate can be calculated to get the ranking.

Findings

Potential application of the PUL-TODIM method is demonstrated through an evaluation example with sensitivity and comparative analysis.

Originality/value

As per author's concern, there are no TODIM methods with probabilistic uncertain linguistic sets (PULTSs) to solve MCGDM problems under uncertainty. Compared with the result of existing methods, the final judgment value of alternates using the extended TODIM methodology is highly corroborated, which proves its potential in solving MCGDM problems under qualitative and quantitative environments.

Keywords

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (no. 11371130), the Soft Science Research Program of Fujian Province (no. B19085), the projects of the Education Department of Fujian Province (no. JT180263), the open fund of Key Laboratory of Applied Mathematics of Fujian Province University (Putian University) (no. SX201906) and Digital Fujian big data modeling and intelligent computing institute, Pre-Research Fund of Jimei University.

Citation

Xiuqin, X., Jialiang, X., Na, Y. and Honghui, W. (2021), "Probabilistic uncertain linguistic TODIM method based on the generalized Choquet integral and its application", International Journal of Intelligent Computing and Cybernetics, Vol. 14 No. 2, pp. 122-144. https://doi.org/10.1108/IJICC-09-2020-0108

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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