کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
478087 1446009 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices
ترجمه فارسی عنوان
یک رویکرد برنامه نویسی چند مرحله ای برای تصمیم گیری گروهی با ماتریس مقایسه دو طرفه اختلاط ناقص
کلمات کلیدی
برنامه ریزی هدف ماتریس مقایسه دو طرفه افزودنی فاصله، سازگاری چندگانه، عدم قطعیت، تصمیم گیری گروهی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی


• New properties of multiplicative consistency are proposed for interval additive reciprocal comparison matrices (IARCMs).
• A two-step goal programming method is established to estimate missing values for an incomplete IARCM.
• A weighted geometric mean approach is put forward to aggregate individual IARCMs into a group IARCM.
• A two-step procedure comprising two goal programs is developed to derive interval priority weights from the group IARCM.

This article presents a goal programming framework to solve group decision making problems where decision-makers’ judgments are provided as incomplete interval additive reciprocal comparison matrices (IARCMs). New properties of multiplicative consistent IARCMs are put forward and used to define consistent incomplete IARCMs. A two-step goal programming method is developed to estimate missing values for an incomplete IARCM. The first step minimizes the inconsistency of the completed IARCMs and controls uncertainty ratios of the estimated judgments within an acceptable threshold, and the second step finds the most appropriate estimated missing values among the optimal solutions obtained from the previous step. A weighted geometric mean approach is proposed to aggregate individual IARCMs into a group IARCM by employing the lower bounds of the interval additive reciprocal judgments. A two-step procedure consisting of two goal programming models is established to derive interval weights from the group IARCM. The first model is devised to minimize the absolute difference between the logarithm of the group preference and that of the constructed multiplicative consistent judgment. The second model is developed to generate an interval-valued priority vector by maximizing the uncertainty ratio of the constructed consistent IARCM and incorporating the optimal objective value of the first model as a constraint. Two numerical examples are furnished to demonstrate validity and applicability of the proposed approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Operational Research - Volume 242, Issue 3, 1 May 2015, Pages 890–900
نویسندگان
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