The cross-entropy and improved distance measures for complex q-rung orthopair hesitant fuzzy sets and their applications in multi-criteria decision-making

被引:11
|
作者
Liu, Peide [1 ]
Mahmood, Tahir [2 ]
Ali, Zeeshan [2 ]
机构
[1] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan 250015, Shandong, Peoples R China
[2] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad, Pakistan
关键词
Complex q-rung orthopair fuzzy sets; Complex q-rung orthopair hesitant fuzzy sets; Improved distance measures; Cross-entropy measures; TOPSIS method; MEAN OPERATORS; INFORMATION;
D O I
10.1007/s40747-021-00551-2
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The complex q-rung orthopair fuzzy set (Cq-ROFS) is the extension of complex Pythagorean fuzzy set (CPFS) in which the sum of the q-power of the real part (imaginary part) of the support for and the q-power of the real part (imaginary part) of the support against is limited by one; however, it is difficult to express the hesitant information. In this study, the conception of complex q-rung orthopair hesitant fuzzy set (Cq-ROHFS) by combining the Cq-ROFS and hesitant fuzzy set (HFS) is proposed, and its properties are discussed, obviously, Cq-ROHFS can reflect the uncertainties in structure and in detailed evaluations. Further, some distance measures (DMs) and cross-entropy measures (CEMs) are developed based on complex multiple fuzzy sets. Moreover, these proposed measures are utilized to solve a multi-criteria decision-making problem based on TOPSIS (technique for order preference by similarity to ideal solution) method. Then, the advantages and superiority of the proposed measures are explained by the experimental results and comparisons with some existing methods.
引用
收藏
页码:1167 / 1186
页数:20
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