《FERMATEAN模糊信息下基于不同類型DOMBI聚集算子得多屬性決策》精讀

Intensive reading of "Multiple attribute decision-making based on different types of Dombi aggregation operators under Fermatean fuzzy information"

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今天小編為大家?guī)怼禙ERMATEAN模糊信息下基于不同類型DOMBI聚集算子得多屬性決策》精讀。

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本期推文閱讀時長大約5分鐘，請您耐心閱讀。

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Dear you,

this is LearningYard Academy!

Today, the editor brings you intensive reading of "Multiple attribute decision-making based on different types of Dombi aggregation operators under Fermatean fuzzy information".

Welcome your visit!

The reading time of this tweet is about 5 minutes, please read it with patience.

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小編將從思維導圖、精讀內(nèi)容、知識補充三個板塊為大家?guī)怼禡ultiple attribute decision-making based on different types of Dombi aggregation operators under Fermatean fuzzy information》Fermatean模糊數(shù)下得Dombi算法聚合算子介紹，即FFDWA算子和FFDOWA算子。

The editor will bring you the introduction of Dombi algorithm aggregation operators under Fermatean fuzzy number from the three sections of mind map, intensive reading content and knowledge supplementation , that is, FFDWA operators and FFDOWA operators.

01

思維導圖

02

精讀內(nèi)容

FFDWA算子

FFDWA operator

定義與公式:

Definitions and formulas:

定理:

Theorem:

1.冪等性:

1.Idempotency property:

2.有界性:

2.Boundedness property:

3.單調(diào)性:

3.Monotonicity property:

FFDOWA算子

FFDOWA operator

定義與公式：

Definitions and formulas:

定理:

Theorem:

1.冪等性:

1.Idempotency property:

2.有界性:

2.Boundedness property:

3.單調(diào)性:

3.Monotonicity property:

4.交換性:

4.Commutativity property:

03

知識補充

有界性

Boundedness property

冪等性

Idempotency property

單調(diào)性

Monotonicity property

交換性

Commutativity property

交換定律指出，即使操作數(shù)得順序顛倒，通過對任意數(shù)量得操作數(shù)執(zhí)行數(shù)學運算獲得得結(jié)果也是相同得。在數(shù)學上，交換屬性定義可以解釋如下。如果“c”和“d”是兩個數(shù)字，那么對于在“c”和“d”之間執(zhí)行得任何運算，當且僅當“c”是第壹個操作數(shù)和“d”是第二個操作數(shù)時獲得得結(jié)果等于“d”是第壹個操作數(shù)而“c”是第二個操作數(shù)時獲得得結(jié)果。

The law of exchange states that even if the order of operands is reversed, the result obtained by performing mathematical operations on any number of operands is the same. Mathematically, the exchange attribute definition can be interpreted as follows. If " c " and " d " are two numbers , then for any operation performed between " c " and " d " , the result obtained if and only if " c " is the first operand and " d " is the second operand is equal to the result obtained when " d " is the first operand and " c " is the second operand.

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參考資料：Bing Microsoft Translator、CSDN、百度

參考文獻：

[1]Shit C, Ghorai G. Multiple attribute decision-making based on different types of Dombi aggregation operators under Fermatean fuzzy information [J]. Soft computing: A fusion of foundations, methodologies and applications, 2021(22): 25.

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