基于同构Frank t-模与s-模的勾股模糊 Frank集结算子及其应用
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作者单位:

(1. 西南交通大学交通运输与物流学院,成都610031;2. 香港城市大学系统工程与工程管理系,香港999077)

作者简介:

杨艺(1990-), 男, 博士生, 从事模糊决策的研究;李延来(1971-), 男, 教授, 博士生导师, 从事智能控制与应用等研究.

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E-mail: yanlaili@home.swjtu.edu.cn

中图分类号:

C934

基金项目:

国家自然科学基金项目(71373222,71371156);西南交通大学拔尖人才培育项目(A0520502051601-6).


The pythagorean fuzzy Frank aggregation operators based on isomorphism Frank t-norm and s-norm and their application
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Affiliation:

(1. School of Transportation and Logistics,Southwest Jiaotong University,Chengdu610031,China;2. Department of Systems Engineering and Engineering Management,City University of Hong Kong,Hong Kong 999077,China)

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    摘要:

    运用单位区间上的自同构构造一种适用于勾股模糊环境下的同构Frank t-模与其对偶s-模,进而定义勾股模糊集的广义运算法则,并探究新法则的相关性质.应用新的运算法则提出勾股模糊Frank加权平均(PFFWA)算子与勾股模糊Frank加权几何(PFFWG)算子,证明算子的相关性质.利用PFFWA与PFFWG算子提出一种解决勾股模糊多属性决策问题的新方法.通过解决航空公司服务质量评估问题,对比分析新方法与现存的决策方法,进而表明新方法的可行性和灵活性, 并验证了新方法具有反馈决策者态度特征的能力.

    Abstract:

    Based on the automorphism on the unit interval, an isomorphism Frank t-norm and its dual s-norm are created, which are applicable to Pythagorean fuzzy environment, and the generalized operational laws with respect to pythagorean fuzzy set(PFS) are defined and some properties of these laws are also investigated. Then, the Pythagorean fuzzy Frank weighted averaging(PFFWA) operator and Pythagorean fuzzy Frank weighted geometric(PFFWG) operator are proposed by using the new operational laws. Some desirable properties of these operators are proved. A new approach to solve the Pythagorean fuzzy multiple attribute decision making problem is developed by using the PFFWA and PFFWG operators. By solving the problem of airline service quality assessment, the proposed method is compared with existing methods. The analysis results demonstrate the feasibility and flexibility of the proposed method, and verify its ability to feedback the attitude of the decision maker.

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杨艺,李延来,丁恒,等.基于同构Frank t-模与s-模的勾股模糊 Frank集结算子及其应用[J].控制与决策,2018,33(8):1471-1480

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  • 在线发布日期: 2018-07-26
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