Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA

被引:0
|
作者
Zhu Y. [1 ]
Gao L. [2 ]
机构
[1] School of Mathematics and Statistics, Shaanxi Xueqian Normal University, Xi'an
[2] School of Computer Science, Northwestern Polytechnical University, Xi'an
关键词
Hamacher operation; Multiple attribute decision making; MULTMOORA method; Probabilistic hesitant fuzzy;
D O I
10.1051/jnwpu/20203861361
中图分类号
学科分类号
摘要
Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example. © 2020 Journal of Northwestern Polytechnical University.
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页码:1361 / 1369
页数:8
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共 19 条
  • [1] ZADEH L A., Fuzzy Sets, Information and Control, 8, 3, pp. 338-353, (1965)
  • [2] TURKSEN I B., Interval Valued Fuzzy Sets Based on Normal Forms, Fuzzy Sets and Systems, 20, 2, pp. 191-210, (1986)
  • [3] ATANASSOV K T., Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20, 1, pp. 87-96, (1986)
  • [4] HU J H, XIAO K L, CHEN X H, Et al., Interval Type-2 Hesitant Fuzzy Set and Its Application in Multi-Criteria Decision Making, Computers & Industrial Engineering, 87, 9, pp. 91-103, (2015)
  • [5] TORRA V, NARUKAWA Y., On Hesitant Fuzzy Sets and Decision, The 18th IEEE Int Conf on Fuzzy Systems, pp. 1378-1382, (2009)
  • [6] TORRA V., Hesitant Fuzzy Sets, International Journal of Intelligent Systems, 25, 6, pp. 529-539, (2010)
  • [7] ZHANG X L, XU Z S., The TODIM Analysis Approach Based on Novel Measured Functions under Hesitant Fuzzy Environment, Knowledge-Based Systems, 61, 2, pp. 48-58, (2014)
  • [8] JIN F F, NI Z W, CHEN H Y., Note on "Hesitant Fuzzy Prioritized Operators and Their Application to Multiple Attribute Decision Making, Knowledge-Based Systems, 96, C, pp. 115-119, (2016)
  • [9] LIAO H C, XU Z S, ZENG X J., Novel Correlation Coefficients between Hesitant Fuzzy Sets and Their Application in Decision Making, Knowledge-Based Systems, 82, C, pp. 115-127, (2015)
  • [10] SUN G D, GUAN X, YI X, Et al., An Innovative TOPSIS Approach Based on Hesitant Fuzzy Correlation Coefficient and Its Applications, Applied Soft Computing, 68, pp. 249-267, (2018)