کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
495235 862821 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Power geometric operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making
ترجمه فارسی عنوان
اپراتورهای هندسی قدرت از اعداد فازی شهود استریو و استفاده از تصمیم گیری گروه چند ویژگی
کلمات کلیدی
تصمیم گیری گروه چند ویژگی، تعداد فازی شهودی تراژیک، احتمال متوسط ​​بودن، اپراتور هندسی قدرت
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی


• The weighted possibility means of TrIFNs are firstly introduced.
• A new ranking method for TrIFNs is thereby presented.
• Minkowski distance for TrIFNs is defined.
• Four kinds of power geometric operators of TrIFNs are developed.
• The collective overall values of alternatives are obtained by goal programming model.

As a special intuitionistic fuzzy set on a real number set, trapezoidal intuitionistic fuzzy numbers (TrIFNs) have the better capability to model ill-known quantities. The purpose of this paper is to develop some power geometric operators of TrIFNs and apply to multi-attribute group decision making (MAGDM) with TrIFNs. First, the lower and upper weighted possibility means of TrIFNs are introduced as well as weighted possibility means. Hereby, a new lexicographic method is developed to rank TrIFNs. The Minkowski distance between TrIFNs is defined. Then, four kinds of power geometric operators of TrIFNs are investigated including the power geometric operator of TrIFNs, power weighted geometric operator of TrIFNs, power ordered weighted geometric operator of TrIFNs and power hybrid geometric operator of TrIFNs. Their desirable properties are discussed. Four methods for MAGDM with TrIFNs are respectively proposed for the four cases whether the weight vectors of attributes and DMs are known or unknown. In these methods, the individual overall attribute values of alternatives are generated by using the power geometric or power weighted geometric operator of TrIFNs. The collective overall attribute values of alternatives are determined through constructing the multi-objective optimization model, which is transformed into the goal programming model to solve. Thus, the ranking order of alternatives is obtained according to the collective overall attribute values of alternatives. Finally, the green supplier selection problem is illustrated to demonstrate the application and validation of the proposed method.

Figure optionsDownload as PowerPoint slide

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Soft Computing - Volume 29, April 2015, Pages 153–168
نویسندگان
, ,