系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2012年
9期
1964~1972
,共null页
高岩 周德群 刘晨琛 章玲
高巖 週德群 劉晨琛 章玲
고암 주덕군 류신침 장령
三角模糊数直觉模糊集 运算法则 群决策 关联
三角模糊數直覺模糊集 運算法則 群決策 關聯
삼각모호수직각모호집 운산법칙 군결책 관련
three-point interval number intuitionistic fuzzy set; operational laws; group decision making; interaction
针对三角模糊数直觉模糊信息下属性间存在关联使得已有集结算子失效的问题,引入模糊测度的概念,在三角直觉模糊数的运算法则基础上构建了基于关联的加权平均集成算子,即三角模糊数直觉模糊关联有序加权平均R-TIOWA算子、三角模糊数直觉模糊关联加权几何平均R-TIWGA算子和三角模糊数直觉模糊关联有序加权几何平均R—TIOWGA算子,探讨了上述算子的若干性质.并在此基础上构建一种属性值为三角模糊数直觉模糊数的多属性群决策方法.实例分析验证了该方法的可行性和有效性.
針對三角模糊數直覺模糊信息下屬性間存在關聯使得已有集結算子失效的問題,引入模糊測度的概唸,在三角直覺模糊數的運算法則基礎上構建瞭基于關聯的加權平均集成算子,即三角模糊數直覺模糊關聯有序加權平均R-TIOWA算子、三角模糊數直覺模糊關聯加權幾何平均R-TIWGA算子和三角模糊數直覺模糊關聯有序加權幾何平均R—TIOWGA算子,探討瞭上述算子的若榦性質.併在此基礎上構建一種屬性值為三角模糊數直覺模糊數的多屬性群決策方法.實例分析驗證瞭該方法的可行性和有效性.
침대삼각모호수직각모호신식하속성간존재관련사득이유집결산자실효적문제,인입모호측도적개념,재삼각직각모호수적운산법칙기출상구건료기우관련적가권평균집성산자,즉삼각모호수직각모호관련유서가권평균R-TIOWA산자、삼각모호수직각모호관련가권궤하평균R-TIWGA산자화삼각모호수직각모호관련유서가권궤하평균R—TIOWGA산자,탐토료상술산자적약간성질.병재차기출상구건일충속성치위삼각모호수직각모호수적다속성군결책방법.실례분석험증료해방법적가행성화유효성.
Under triangular fuzzy number intuitionistic information, interaction exists among the decision- making attributes which makes the aggregation operators to lose effectiveness. For these problems, the definition of fuzzy measure is introduced and some operational laws of triangular fuzzy number intuition- istic fuzzy numbers are defined, based on which some new aggregation operators with interaction are developed, such as triangular fuzzy number intuitionistic fuzzy ordered weighted average operation with interaction (R-TPIOWA), triangular fuzzy number intuitionistic fuzzy weighted geometric average oper- ation with interaction (R-TPIWGA) and triangular fuzzy number intuitionistic fuzzy ordered weighted geometric average operation with interaction (R-TPIOWGA). Finally, an approach for decision making with triangular fuzzy number intuitionistic fuzzy information is developed, and a practical example is provided to illustrate the developed approach and to verify its effectiveness.