三角毕达哥拉斯模糊Choquet积分算子及其应用  

Triangular Pythagorean Fuzzy Choquet Intergral Operator and Applications

作　　者：杜迎雪[1] 常娟[1] 刘卫锋[1] DU Ying-xue;CHANG Juan;LIU Wei-feng(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《数学的实践与认识》2020年第17期199-210,共12页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11501525);河南省高等学校重点科研项目(20A110035);郑州航空工业管理学院青年基金项目(2016113003)。

摘　　要：针对属性值为三角毕达哥拉斯模糊数且属性之间相互关联的多属性决策问题,将三角毕达哥拉斯模糊集与Choquet积分相结合,提出了三角毕达哥拉斯模糊Choquet积分平均算子(TPFCA)和三角毕达哥拉斯模糊Choquet积分几何算子(TPFCG),给出其计算公式;然后又研究了算子的性质:幂等性、单调性、有界性等;最后将三角毕达哥拉斯模糊Choquet积分算子用于多属性决策中,提出了基于三角毕达哥拉斯模糊Choquet积分算子的多属性决策方法,并且通过实例说明这些算子的有效性.Aiming at the multi-attribute decision-making problem that the attribute value is triangular Pythagorean fuzzy number and the attributes are interrelated,this paper combines the triangular Pythagorean fuzzy set with the Choquet integral,puts forward the triangular Pythagorean fuzzy Choquet integral mean operator(TPFCA)and triangular Pythagorean fuzzy Choquet integral geometry operator(TPFCG),and gives the calculation formula;however,the calculation formula of these operators are also given Then we study the properties of operators:idempotence,monotonicity,boundedness,etc.Finally,we apply the triangular Pythagorean fuzzy Choquet integral operator to the multi-attribute decision-making,and propose the multi-attribute decision-making method based on the triangular Pythagorean fuzzy Choquet integral operator,and prove the effectiveness of these operators by examples.

关 键 词：毕达哥拉斯模糊集 三角毕达哥拉斯模糊数 CHOQUET积分 多属性决策 

分 类 号：O159[理学—数学] O225[理学—基础数学] O177.6