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Interval type-2 fuzzy aggregation operator in decision making and its application
Complex & Intelligent Systems ( IF 5.0 ) Pub Date : 2021-02-26 , DOI: 10.1007/s40747-021-00287-z
M. Lathamaheswari , D. Nagarajan , J. Kavikumar , Said Broumi

Type-2 fuzzy sets (T2FSs) can deal with higher modeling and uncertainties which exist in the real-world application, specifically in the control systems. Particularly the climate changes are always uncertain and thus, the type-2 fuzzy controller is an effective system to handle those situations. Polyhouse is a methodology used to cultivate the plants. It breaks the seasonal hurdle of the formulation and it is also suitable for the conflictive climate conditions. Controlling and directing internal parameters of the polyhouse play an essential role in the growth of the plant. Among those, humidity is an important element when one deals with the growth of the plant in polyhouse. It affects the weather, as well as the global change of the climate and hence, the inner climate of the polyhouse will be disturbed. In this paper, operational laws for triangular interval type-2 fuzzy numbers and derived triangular interval type-2 weighted geometric (TIT2WG) operator with their desired mathematical properties using Dombi triangular norms. Also, humidity control is analyzed using interval type-2 fuzzy controller (IT2FC) with the use of derived aggregation operator which is the aim of the paper. Further stability of the system has been analyzed by applying four different defuzzification methods and the method is recommended which gives a better response.



中文翻译:

区间2型模糊聚合算子在决策中的应用。

类型2模糊集(T2FS)可以处理现实应用中(尤其是控制系统中)存在的更高的建模和不确定性。特别是气候变化总是不确定的,因此,类型2模糊控制器是处理这些情况的有效系统。Polyhouse是一种用于种植植物的方法。它打破了配方的季节性障碍,也适合于冲突的气候条件。控制和指导温室的内部参数在植物的生长中起着至关重要的作用。其中,湿度是处理温室中植物生长的重要因素。它影响天气以及气候的全球变化,因此,温室的内部气候将受到干扰。在本文中,三角区间2型模糊数和派生的三角区间2型加权几何(TIT2WG)算子的运算定律,以及使用Dombi三角范数的期望数学性质。此外,本文还研究了使用区间2型模糊控制器(IT2FC)并使用派生的聚合算子对湿度控制进行分析的方法。已通过应用四种不同的去模糊方法对系统的进一步稳定性进行了分析,并推荐了可提供更好响应的方法。本文的目的是使用区间2型模糊控制器(IT2FC)并使用派生的聚合算子来分析湿度控制。已通过应用四种不同的去模糊方法对系统的进一步稳定性进行了分析,并推荐了可提供更好响应的方法。本文的目的是使用区间2型模糊控制器(IT2FC)并使用派生的聚合算子来分析湿度控制。已通过应用四种不同的去模糊方法对系统的进一步稳定性进行了分析,并推荐了可提供更好响应的方法。

更新日期:2021-02-26
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