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Moderator intuitionistic fuzzy sets with applications in multi-criteria decision-making

机译：主持人直觉模糊集及其在多准则决策中的应用

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摘要

The concept of intuitionistic fuzzy sets (IFSs) supports an observer to integrate the hesitancy index in membership function. The hesitancy index originates from his basic awareness, past information, situation, lack of the standard terminologies and a lot of other parameters, so membership degree involved uncertainty under IFSs. Therefore, the uncertainty index included with an observer in choosing membership grade under IFSs requires additional improvement. Keeping it in mind, the notion of moderator intuitionistic fuzzy set (MIFS) introduced by Joshi and Kharayat (Adv Intell Syst Comput, 2016) by adding a parameter in IFS environment to make the uncertain behaviour more accurate. Some properties and operators were also defined over MIFSs and applied in a real-life problem of medical diagnosis. In this paper, firstly two operational laws are defined over MIFNs to apply the concept of MIFSs to multi-criteria decision-making problems. Then, a moderator intuitionistic fuzzy weighted averaging (MIFWA) operator and a moderator intuitionistic fuzzy weighted geometric (MIFWA) operator are proposed to combine MIFNs to take decisions. Finally, a numerical example is considered to illustrate the proposed approach effectively.
机译：直觉模糊集（IFS）的概念支持观察者将犹豫指数集成到隶属函数中。犹豫指数来自于他的基本认识，过去的信息，情况，缺乏标准术语和许多其他参数，因此成员资格涉及IFS下的不确定性。因此，在IFS下选择会员等级时，观察者所包含的不确定性指数需要进一步改进。请记住，乔希和哈拉亚特（Adv Intell Syst Comput，2016）引入了主持人直觉模糊集（MIFS）的概念，方法是在IFS环境中添加参数以使不确定行为更准确。在MIFS上还定义了一些属性和运算符，并将它们应用于医学诊断的实际问题中。在本文中，首先针对MIFN定义了两个操作法，以将MIFS的概念应用于多准则决策问题。然后，提出了一种协调人直觉模糊加权平均算子（MIFWA）和一个协调人直觉模糊加权几何算术（MIFWA）算子来组合MIFN来做出决策。最后，通过数值算例有效地说明了该方法。

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