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Induced Choquet Integral Aggregation Operators with Single-Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision-Making

机译:具有单值中性学性不确定语言数字的具有单值中性学不确定语言数字的诱导的Chitquet积分聚合运营商及其在多个属性组决策中的应用

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摘要

For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.
机译:对于真正的决策问题,通过传统聚合运算符汇总具有交互式或相关特性的属性是不合适的。因此,将Chromet积分运算符应用于近似和模拟人类主观决策过程,其中不一定假设输入参数之间的独立性是合适的。此外,使用单值的中性学性不确定语言集(Svnuls)可以表达比FSS和IFSS更好的不确定,不一致和不完整的信息。在本文中,我们研究了Svnulss的MAGDM问题,提出了两个单值中性学不确定语言学学位整合聚集运营商,其中属性或专家之间的相互作用现象。首先,简要介绍单值中性学不确定语言数字(SVNULNS)的定义,操作规则和比较方法。其次,诱导单值中性学不确定语言学学位订购平均(I-SVNULCA)操作员和诱导的单值中性学不确定语言学ChruistChetquet几何(I-Svnulcg)操作员。此外,讨论了一些属性。此外,提出了基于上述单值中使用性不确定语言学组成整体算子的MAGDM的程序和算法。最后,在说明性示例中,将证明所提出的方法的实用性和有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第4期|9143624.1-9143624.14|共14页
  • 作者单位

    Hefei Univ Technol Sch Management Hefei 230009 Anhui Peoples R China|Minist Educ Engn Res Ctr Intelligent Decis Making & Informat Hefei 230009 Anhui Peoples R China;

    Hefei Univ Technol Sch Management Hefei 230009 Anhui Peoples R China|Minist Educ Engn Res Ctr Intelligent Decis Making & Informat Hefei 230009 Anhui Peoples R China;

    Hefei Univ Technol Sch Management Hefei 230009 Anhui Peoples R China|Minist Educ Engn Res Ctr Intelligent Decis Making & Informat Hefei 230009 Anhui Peoples R China;

    Hefei Univ Technol Sch Management Hefei 230009 Anhui Peoples R China|Minist Educ Engn Res Ctr Intelligent Decis Making & Informat Hefei 230009 Anhui Peoples R China;

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