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Probabilistic Linguistic Distance Measures and Their Applications in Multi-criteria Group Decision Making

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Soft Computing Applications for Group Decision-making and Consensus Modeling

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

Abstract

The probabilistic linguistic term sets can express not only the decision makers’ several possible linguistic assessment values, but also the weight of each linguistic assessment value, so they can preserve the original decision information and then have become an efficient tool for solving multi-criteria group decision making problems. To promote the wide applicability of probabilistic linguistic term sets in various fields, this chapter focuses on the distance measures for probabilistic linguistic term sets and their applications in multi-criteria group decision making. This chapter first defines the distance between two probabilistic linguistic term elements. Based on this, a variety of distance measures are proposed to calculate the distance between two probabilistic linguistic term sets. Then, these distance measures are further extended to compute the distance between two collections of probabilistic linguistic term sets by considering the weight information of each criterion. After that, the concept of the satisfaction degree of an alternative is given and utilized to rank the alternatives in multi-criteria group decision making. Finally, a real example is given to show the use of these distance measures and then compare the probabilistic linguistic term sets with hesitant fuzzy linguistic term sets.

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Acknowledgements

This research work was partially supported by the National Natural Science Foundation of China (Nos. 61273209, 71571123).

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Authors and Affiliations

  1. Faculty of Software, Fujian Normal University, Fuzhou, 350108, Fujian, China

    Mingwei Lin

  2. Business School, Sichuan University, Chengdu, 610064, China

    Zeshui Xu

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  1. Mingwei Lin
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  2. Zeshui Xu
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Correspondence to Zeshui Xu .

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Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Lin, M., Xu, Z. (2018). Probabilistic Linguistic Distance Measures and Their Applications in Multi-criteria Group Decision Making. In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_24

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60206-6

  • Online ISBN: 978-3-319-60207-3

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