Dual probabilistic linguistic multi-criteria decision making approach by LCM-derived extension method for hesitant fuzzy elements and its fuzzy entropy measures

QI Xiaowen, ZHANG Junling, LIANG Changyong

Systems Engineering - Theory & Practice ›› 2022, Vol. 42 ›› Issue (8) : 2243-2257.

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Systems Engineering - Theory & Practice ›› 2022, Vol. 42 ›› Issue (8) : 2243-2257. DOI: 10.12011/SETP2021-2495

Dual probabilistic linguistic multi-criteria decision making approach by LCM-derived extension method for hesitant fuzzy elements and its fuzzy entropy measures

  • QI Xiaowen1, ZHANG Junling2, LIANG Changyong3
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Abstract

Tackling hesitant fuzzy decision making with complicate evaluations in form of dual probabilistic linguistic term set (DPLTS), this paper introduces an extension method based on least common multiple (LCM) for hesitant fuzzy element as well as its derived fuzzy entropy measures for DPLTS and puts forward an effective approach for a typical type of problems with bi-layered index system and unknown criteria weights. Firstly, theoretical analysis shows that the introduced LCM-based extension method avoids potential information distortion brought by traditional methods. On the ground of the LCM-based extension method, some fuzzy measures including distance measure, entropy measure and cross-entropy measure have been developed for DPLTS. Secondly, to deduce appropriate criteria weights, a hybrid model is developed to generate weighting vector for the second-layer criteria by utilizing the proposed entropy and cross-entropy measures, and another BWM-based model is also utilized to compute weighting vector for the first-layer criteria. Further, based on the afore-proposed models, our proposed decision making approach is then constructed. Finally, case studies on sustainable supplier selection and experimental studies have been conducted to verify our approach.

Key words

dual probabilistic linguistic term set (DPLTS) / distance measure / entropy measure / cross-entropy measure / sustainable supplier selection

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LIANG Changyong , QI Xiaowen , ZHANG Junling. Dual probabilistic linguistic multi-criteria decision making approach by LCM-derived extension method for hesitant fuzzy elements and its fuzzy entropy measures. Systems Engineering - Theory & Practice, 2022, 42(8): 2243-2257 https://doi.org/10.12011/SETP2021-2495

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Funding

National Social Science Fund of China (17BJY159)
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