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<p>Rural areas embody the deepest thoughts and wisdom of the Chinese nation and are the root of China’s excellent traditional culture. At present, the essence of rural construction is the revitalization of rural culture. With the development of the times, the spiritual and cultural needs of the rural population are also growing due to significant improvements in material living conditions. As an important carrier of rural culture, landscape serves as a starting point for research into rural landscape design with the concept of cultural inheritance. Reasonably and effectively exploring cultural elements and discussing the related theories and practical issues of rural landscape design from a new perspective are crucial for maintaining the vitality of rural areas and promoting sustainable rural development. The quality evaluation of cultural heritage-oriented rural landscapes within the rural revitalization framework is a task well-suited for multi-attribute group decision-making (MAGDM). Recently, the Exponential TODIM (ExpTODIM) and VIKOR methods have been introduced to address MAGDM challenges. For handling uncertain data during this evaluation, the 2-tuple linguistic neutrosophic sets (2TLNSs) have been introduced as an effective tool. In this research, the 2-tuple linguistic neutrosophic number ExpTODIM-VIKOR (2TLNN-ExpTODIM-VIKOR) method is introduced to tackle MAGDM challenges using 2TLNSs. Furthermore, a numerical study focusing on the quality evaluation of cultural heritage-oriented rural landscapes in the context of rural revitalization is conducted to validate the effectiveness of the 2TLNN-ExpTODIM-VIKOR approach. The major contributions are illustrated: (1) ExpTODIM and VIKOR approach are extended to the 2TLNNs; (2) entropy approach is expressed to obtain the weight under 2TLNNs; (3) 2TLNN-ExpTODIM-VIKOR approach is expressed forward MAGDM under 2TLNNs; (4) Finally, numerical example for quality evaluation for cultural heritage-oriented rural landscapes within the rural revitalization context and comparative analysis are expressed to validate the 2TLNN-ExpTODIM-VIKOR approach.</p>

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ExpTODIM-VIKOR framework for multiple-attribute group decision-making with 2-tuple linguistic neutrosophic numbers and applications to quality evaluation of cultural heritage-oriented rural landscapes

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Yuan Zhang,
  • Yan Gao

摘要

Rural areas embody the deepest thoughts and wisdom of the Chinese nation and are the root of China’s excellent traditional culture. At present, the essence of rural construction is the revitalization of rural culture. With the development of the times, the spiritual and cultural needs of the rural population are also growing due to significant improvements in material living conditions. As an important carrier of rural culture, landscape serves as a starting point for research into rural landscape design with the concept of cultural inheritance. Reasonably and effectively exploring cultural elements and discussing the related theories and practical issues of rural landscape design from a new perspective are crucial for maintaining the vitality of rural areas and promoting sustainable rural development. The quality evaluation of cultural heritage-oriented rural landscapes within the rural revitalization framework is a task well-suited for multi-attribute group decision-making (MAGDM). Recently, the Exponential TODIM (ExpTODIM) and VIKOR methods have been introduced to address MAGDM challenges. For handling uncertain data during this evaluation, the 2-tuple linguistic neutrosophic sets (2TLNSs) have been introduced as an effective tool. In this research, the 2-tuple linguistic neutrosophic number ExpTODIM-VIKOR (2TLNN-ExpTODIM-VIKOR) method is introduced to tackle MAGDM challenges using 2TLNSs. Furthermore, a numerical study focusing on the quality evaluation of cultural heritage-oriented rural landscapes in the context of rural revitalization is conducted to validate the effectiveness of the 2TLNN-ExpTODIM-VIKOR approach. The major contributions are illustrated: (1) ExpTODIM and VIKOR approach are extended to the 2TLNNs; (2) entropy approach is expressed to obtain the weight under 2TLNNs; (3) 2TLNN-ExpTODIM-VIKOR approach is expressed forward MAGDM under 2TLNNs; (4) Finally, numerical example for quality evaluation for cultural heritage-oriented rural landscapes within the rural revitalization context and comparative analysis are expressed to validate the 2TLNN-ExpTODIM-VIKOR approach.