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Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making
Computational and Applied Mathematics ( IF 2.998 ) Pub Date : 2020-10-30 , DOI: 10.1007/s40314-020-01332-2
Tahir Mahmood , Zeeshan Ali

Complex q-rung orthopair uncertain linguistic set (CQROULS) is a combination of complex q-rung orthopair fuzzy set (CQROFS) and uncertain linguistic variable set (ULVS) as a proficient technique to express uncertain and awkward information in real decision theory. CQROULS contains uncertain linguistic variables, truth and falsity grades, which gives extensive freedom to decision makers for taking a decision as compared to CQROFS and their special cases. In this article, a new concept of fuzzy set, called CQROULS using CQROFS and ULVS is explored, and this can examine the qualitative assessment of decision makers and gives them extensive freedom in reflecting their belief about allowable truth grades. Based on the established operational laws and comparison methods for CQROULSs, the notions of complex q-rung orthopair uncertain linguistic weighted-averaging aggregation operator and complex q-rung orthopair uncertain linguistic weighted geometric aggregation operator are explored. Some special cases and the desirable properties of the explored operators are also established and studied. Additionally, the notion of VIseKriterijumska Optimizacija I KOmpromisno Resenje (VIKOR) method based on CQROULSs is explored, with the help of a numerical example, it is verified and also its comparative study is established. Moreover, based on the above analysis, we establish a method to solve the multi-attribute group decision making problems, in which the evaluation information is shown as CQROULNs. Finally, we solve some numerical examples using some decision making steps and explain the verity and proficiency of the explored operators by comparing with other methods, the advantages and graphical interpretation of the explored work are also discussed.



中文翻译:

基于复杂q-阶邻态对不确定语言信息的聚集算子和VIKOR方法及其在多属性决策中的应用

复杂q阶邻对不确定性语言集(CQROULS)是复杂q阶邻对模糊集(CQROFS)和不确定语言变量集(ULVS)的组合,是一种在实际决策理论中表达不确定性和尴尬信息的熟练技术。CQROULS包含不确定的语言变量,真实度和虚假等级,与CQROFS及其特殊情况相比,为决策者提供了更大的自由来进行决策。在本文中,探索了一种新的模糊集概念,即使用CQROFS和ULVS的CQROULS,它可以检查决策者的定性评估,并给予他们广泛的自由,以反映他们对允许的真实等级的信念。根据已建立的CQROULS的运营法律和比较方法,探讨了复q阶正交对不确定语言加权平均聚合算子和复q阶正交对不确定语言加权几何聚合算子的概念。还建立并研究了一些特殊情况和所探索算子的理想特性。另外,探讨了基于CQROULSs的VIseKriterijumska Optimizacija I KOmpromisno Resenje(VIKOR)方法的概念,并通过数值算例进行了验证,并建立了比较研究。此外,在上述分析的基础上,我们建立了一种解决多属性群体决策问题的方法,该方法将评价信息显示为CQROULN。最后,

更新日期:2020-10-30
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