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| 对偶犹豫模糊二元语义Heronian平均算子及其在多属性决策中的应用 |
| Dual Hesitant Fuzzy 2-tuple Linguistic Heronian Mean Operator and Its Application in Multi-attribute Decision Making |
| 投稿时间：2024-02-26 修订日期：2024-02-26 |
| DOI： |
| 中文关键词: 对偶犹豫模糊二元语义 多属性决策 DFH2TLHM算子 DFH2TLGHM算子 VIKOR方法 |
| 英文关键词: Dual hesitation fuzzy 2-tuple linguistic Multi-attribute decision making DHF2TLHM operator DHF2TLGHM operator VIKOR method |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 对偶犹豫模糊数结合了直觉模糊数和犹豫模糊数的优点，能更加全面的表现出决策者的评价信息.二元语义拓展了语言数的表述范围，更加方便数学运算.基于此，本文将对偶犹豫模糊数与二元语义相结合，提出了对偶犹豫模糊二元语义的概念，定义了其运算和排序规则.同时，将Heronian算子引入对偶犹豫模糊二元语义环境中，提出对偶犹豫模糊二元语义Heronian平均(DHF2TLHM)算子和对偶犹豫模糊二元语义几何Heronian平均(DHF2TLGHM)算子的概念，研究了算子的基本性质.最后结合VIKOR方法，提出了基于DHF2TLHM算子的新的多属性决策方法，并通过实例验证其有效性. |
| 英文摘要: |
| The dual hesitant fuzzy number combines the advantages of intuitionistic fuzzy number and hesitant fuzzy number, which can show more comprehensive evaluation information of decision makers. 2-tuple linguistic expands the range of representation in language numbers and makes mathematical operations more convenient.Therefore, this paper combines dual hesitant fuzzy number with 2-tuple linguistic, puts forward the concept of dual hesitant fuzzy 2-tuple linguistic,and defines its operations and ordering rules. At the same time, the Heronian operator is introduced into the dual hesitant fuzzy 2-tuple linguistic environment.The concept of the dual hesitation fuzzy 2-tuple linguistic Heronian mean operator and the dual hesitation fuzzy 2-tuple linguistic geometric Heronian mean operator are proposed, and the basic properties of these operators are studied.Finally, combined with the classical VIKOR method, a new multi-attribute decision method based on DHF2TLHM operator is proposed, and its effectiveness is verified by an example. |
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