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Sine trigonometric operational laws and its based Pythagorean fuzzy aggregation operators for group decision-making process
Artificial Intelligence Review ( IF 12.0 ) Pub Date : 2021-04-26 , DOI: 10.1007/s10462-021-10002-6
Harish Garg

The paper aims are to impersonate some robust sine-trigonometric operations laws to determine the group decision-making process under the Pythagorean fuzzy set (PFS) situation. The PFS has a notable feature to trade with the dubious information with a broader membership representation space than the intuitionistic fuzzy set. Based on it, the present paper is classified into three phases. The first phase is to introduce new operational laws for PFS. The main idea behind these proposed operations is to incorporate the qualities of the sine function, namely periodicity and symmetric about the origin towards the decisions of the objects. Secondly, based on these laws, numerous operators to aggregate the information are acquired along with their requisite properties and relations. Finally, an algorithm to interpret the multiattribute group decision making problem is outlined based on the stated operators and manifest it with an illustrative example. A detailed comparative interpretation is achieved with some of the existing methods to reveal their influences.



中文翻译:

用于组决策过程的正弦三角运算定律及其基于毕达哥拉斯的模糊集合算子

本文旨在模拟一些稳健的正弦三角运算定律,以确定在勾股勾股模糊集(PFS)情况下的群体决策过程。与直觉模糊集相比,PFS具有显着的特征,可交易的可疑信息具有更大的成员表示空间。基于此,本文分为三个阶段。第一阶段是为PFS引入新的运营法律。这些提议的操作背后的主要思想是合并正弦函数的质量,即周期性和关于对象决策的原点对称。其次,基于这些定律,获得了众多用于汇总信息的运营商及其必不可少的属性和关系。最后,基于所陈述的算子,概述了一种用于解释多属性群决策问题的算法,并通过一个说明性例子加以说明。使用某些现有方法可以进行详细的比较解释,以揭示其影响。

更新日期:2021-04-26
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