IJE TRANSACTIONS B: Applications Vol. 32, No. 5 (May 2019) 737-746   

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M. Aghamohagheghi, S. M. Tashakkori Hashemi and R. Tavakkoli-Moghaddam
( Received: January 28, 2019 – Accepted in Revised Form: April 21, 2019 )

Abstract    In this paper, an interval-valued Pythagorean triangular fuzzy number (IVPTFN) as a useful tool to handle decision-making problems with vague quantities is defined. Then, their operational laws are developed. By introducing a novel method of making a decision on the concept of possibility theory, a multi-attribute group decision-making (MAGDM) problem is considered, in which the attribute values are expressed with the IVPTFN and the information on the decision makers’ (DM) weights is completely unknown. Two novel forms of a multi-attributive border approximation area comparison (MABAC) technique are proposed to solve the problem. One of them is applied to compute the weights of the decision makers, and the other is used to rank the preference order of alternatives, that is based on the possibility expected value and standard deviation and has no aggregation of information. Finally, to illustrate the practicality and effectiveness of proposed method in real-world problems, the proposed method is applied in a real case study of an Iranian transport complex to sustainability assessment of its transport projects.


Keywords    Comparison Technique; Fuzzy Number; Interval-valued Pythagorean Triangular; Multi-attributive Border Approximation Area; Multiple Attribute Group Decision Making; Sustainability; Transport Projects



در این مقاله، اعداد فازی مثلثی فیثاغورثی با ارزش بازه‌ای، به عنوان ابزاری مناسب جهت مدلسازی عدم قطعیت و مواجه با مقادیر مبهم در مسائل تصمیم‌گیری معرفی شده است. عملگرهای محاسباتی مورد نیاز برای این اعداد تعریف شده است. بر این اساس، یک روش تصمیم‌گیری گروهی چند معیاره جدید تحت شرایط عدم قطعیت و مبتنی بر تئوری امکان برای حل مساله در حالتی که وزن تصمیم‌گیرندگان نامشخص است، پیشنهاد شده است. در روش پیشنهادی به منظور جلوگیری از هدر رفتن اطلاعات به دنبال اعمال عملگرهای تجمیعی، ساختار مدل تصمیم‌گیری به گونه‌ای توسعه داده شده است که اولویت نهایی گزینه‌های تصمیم بدون اعمال عملگرهای تجمیعی قابل محاسبه باشد. وزن تصمیم‌گیران نیز توسط یک روش جدید، بر مبنای مفهوم نزدیک بودن به راه حل ایده¬آل و دور بودن از راه حل ضد ایده¬آل محاسبه می¬شود. در نهایت، جهت نمایش اثربخشی و عملیاتی بودن روش پیشنهادی در مسائل دنیای واقعی، روش پیشنهادی در یک مطالعه موردی در یک هلدینگ حمل و نقل در ایران و با هدف ارزیابی گزینه‌های مناسب جهت سرمایه‌گذاری مورد استفاده قرار گرفته است.


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