文章基本信息

标题：Complex q-Rung Orthopair Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Group Decision Making
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作者：Peide Liu ; Tahir Mahmood ; Zeeshan Ali 等
期刊名称：Information
电子版ISSN：2078-2489
出版年度：2020
卷号：11
期号：1
页码：5-31
DOI：10.3390/info11010005
出版社：MDPI Publishing
摘要：In this manuscript, the notions of q-rung orthopair fuzzy sets (q-ROFSs) and complex fuzzy sets (CFSs) are combined is to propose the complex q-rung orthopair fuzzy sets (Cq-ROFSs) and their fundamental laws. The Cq-ROFSs are an important way to express uncertain information, and they are superior to the complex intuitionistic fuzzy sets and the complex Pythagorean fuzzy sets. Their eminent characteristic is that the sum of the qth power of the real part (similarly for imaginary part) of complex-valued membership degree and the qth power of the real part (similarly for imaginary part) of complex-valued non‐membership degree is equal to or less than 1, so the space of uncertain information they can describe is broader. Under these environments, we develop the score function, accuracy function and comparison method for two Cq-ROFNs. Based on Cq-ROFSs, some new aggregation operators are called complex q-rung orthopair fuzzy weighted averaging (Cq-ROFWA) and complex q-rung orthopair fuzzy weighted geometric (Cq-ROFWG) operators are investigated, and their properties are described. Further, based on proposed operators, we present a new method to deal with the multi‐attribute group decision making (MAGDM) problems under the environment of fuzzy set theory. Finally, we use some practical examples to illustrate the validity and superiority of the proposed method by comparing with other existing methods.
关键词：pythagorean fuzzy sets; complex pythagorean fuzzy sets; q-rung orthopair fuzzy sets; complex q-rung orthopair fuzzy sets pythagorean fuzzy sets ; complex pythagorean fuzzy sets ; q-rung orthopair fuzzy sets ; complex q-rung orthopair fuzzy sets