Support-intuitionistic模糊集集成算子及其決策應(yīng)用
發(fā)布時(shí)間:2018-11-17 15:26
【摘要】:介紹Support-intuitionistic模糊集(SIFS)的概念,定義SIFS運(yùn)算法則和客觀權(quán)重,在此基礎(chǔ)上提出SIFS加權(quán)算術(shù)平均算子和加權(quán)幾何平均算子并證明相關(guān)定理。建立基于SIFS模糊信息的決策方法及定義SIFS得分函數(shù)和精確函數(shù),利用SIFS支持度確定目標(biāo)屬性的權(quán)重使得屬性權(quán)重成為客觀值,加強(qiáng)集成結(jié)果的客觀性。通過實(shí)例驗(yàn)證了該決策方法適用于處理基于SIFS模糊信息環(huán)境的決策問題。
[Abstract]:This paper introduces the concept of Support-intuitionistic fuzzy set (SIFS), defines the SIFS algorithm and objective weight, and then puts forward the SIFS weighted arithmetic average operator and weighted geometric average operator and proves the relevant theorems. The decision method based on SIFS fuzzy information and the definition of SIFS score function and precision function are established. The weight of the target attribute is determined by using the SIFS support degree, which makes the attribute weight become the objective value and strengthens the objectivity of the integration result. An example is given to verify that this decision method is suitable for dealing with the decision problem based on SIFS fuzzy information environment.
【作者單位】: 西北師范大學(xué)計(jì)算機(jī)科學(xué)與工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(61163036)
【分類號(hào)】:O159;O225
本文編號(hào):2338301
[Abstract]:This paper introduces the concept of Support-intuitionistic fuzzy set (SIFS), defines the SIFS algorithm and objective weight, and then puts forward the SIFS weighted arithmetic average operator and weighted geometric average operator and proves the relevant theorems. The decision method based on SIFS fuzzy information and the definition of SIFS score function and precision function are established. The weight of the target attribute is determined by using the SIFS support degree, which makes the attribute weight become the objective value and strengthens the objectivity of the integration result. An example is given to verify that this decision method is suitable for dealing with the decision problem based on SIFS fuzzy information environment.
【作者單位】: 西北師范大學(xué)計(jì)算機(jī)科學(xué)與工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(61163036)
【分類號(hào)】:O159;O225
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