JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (1): 116-126.doi: 10.6040/j.issn.1671-9352.0.2024.108

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Type-2 hesitant q-rung triangular uncertain linguistic Schweizer-Sklar-Muirhead operators

LÜ Xiaofan, YUAN Xiujiu*, LI Jingtai, ZHAO Xuejun   

  1. Fundamentals Department, Air Force Engineering University, Xian 710051, Shaanxi, China
  • Published:2026-01-15

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Abstract: In order to describe the multi-layer hesitation of decision-makers in multi-attribute decision-making problems, the type-2 hesitant q-rung triangular uncertain linguistic set is defined by combining hesitant fuzzy set, q-rung triangular hesitant fuzzy set and q-rung hesitant fuzzy uncertain linguistic set. Based on the Schweizer-Sklar norm, the operation laws and properties of the type-2 hesitant q-rung triangular uncertain linguistic fuzzy elements are discussed. In addition, in order to better handle the practical problem with interrelated evaluation attributes, the Muirhead mean operator is extended to the type-2 hesitant q-rung triangular uncertain linguistic set, and the type-2 hesitant q-rung triangular uncertain linguistic Schweizer-Sklar-Muirhead mean operator and its weighted form are proposed. Moreover, the calculation formulae of the operators are given and their properties are discussed. Finally, a multi-attribute decision-making problem model based on the type-2 q-rung hesitant triangular fuzzy uncertain linguistic weighted Muirhead mean operator is established and further analyzed by a numerical example.

Key words: hesitant fuzzy set, type-2 hesitant q-rung triangular uncertain linguistic set, Muirhead mean operator, multi-attribute decision making

CLC Number: 

  • O159
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