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Dehghani Filabadi, Ali, Nahid Titkanlue, Hossein. (1404). Multi-Attribute Group Decision Making Based on a New Ranking of Positive and Negative Interval Type-2 Fuzzy Numbers. فصلنامه علمی زیست فناوری گیاهان زراعی, (), -. doi: 10.30473/coam.2025.74715.1311
Ali Dehghani Filabadi; Hossein Nahid Titkanlue. "Multi-Attribute Group Decision Making Based on a New Ranking of Positive and Negative Interval Type-2 Fuzzy Numbers". فصلنامه علمی زیست فناوری گیاهان زراعی, , , 1404, -. doi: 10.30473/coam.2025.74715.1311
Dehghani Filabadi, Ali, Nahid Titkanlue, Hossein. (1404). 'Multi-Attribute Group Decision Making Based on a New Ranking of Positive and Negative Interval Type-2 Fuzzy Numbers', فصلنامه علمی زیست فناوری گیاهان زراعی, (), pp. -. doi: 10.30473/coam.2025.74715.1311
Dehghani Filabadi, Ali, Nahid Titkanlue, Hossein. Multi-Attribute Group Decision Making Based on a New Ranking of Positive and Negative Interval Type-2 Fuzzy Numbers. فصلنامه علمی زیست فناوری گیاهان زراعی, 1404; (): -. doi: 10.30473/coam.2025.74715.1311

Multi-Attribute Group Decision Making Based on a New Ranking of Positive and Negative Interval Type-2 Fuzzy Numbers

Control and Optimization in Applied Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 آبان 1404    اصل مقاله (1.25 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2025.74715.1311
نویسندگان
Ali Dehghani Filabadi؛ Hossein Nahid Titkanlue*
‎Department of Industrial Engineering‎, ‎Payame Noor University‎, ‎Iran‎.‎‎
چکیده
This paper addresses multi-attribute group decision-making (MAGDM) where linguistic assessments are represented by both positive and negative interval type-2 fuzzy numbers (IT2FNs)‎, ‎capturing the intrinsic uncertainty of group evaluations more accurately. ‎We introduce a novel ranking method for IT2FNs that simultaneously utilizes the mean and standard deviation of the upper and lower membership functions‎, ‎ as well as the IT2FN's height‎. ‎This enhances its discriminatory capability‎. ‎The theoretical foundations of this ranking— encompassing zero‎, ‎unity‎, ‎and symmetry properties— are rigorously established‎, ‎and its superiority over existing techniques is demonstrated through comparative analyses on seven benchmark datasets‎. ‎Building on this ranking‎, ‎we develop an integrated fuzzy MAGDM framework that can handle both positive and negative IT2FN assessments for criteria and weights‎. ‎The framework’s practicality and effectiveness are validated through two case studies‎: ‎one with exclusively positive linguistic terms and another with mixed positive and negative scales‎. ‎Results indicate that the proposed ranking and decision framework yield more rational and robust group decisions under substantial uncertainty‎. ‎They outperform conventional fuzzy methods and offer a nuanced solution for real-world MAGDM scenarios‎.

تازه های تحقیق
  • Novel ranking method for IT2FNs (positive, negative, and neutral) that jointly uses mean, standard deviation, and height.
  • Enhances MADM/MAGDM with bipolar (positive–negative) linguistic scales and neutral assessments.
  • Integrated MAGDM framework capable of processing dual-scale IT2FN criteria and weights.
  • Demonstrated superiority over state-of-the-art methods via comprehensive benchmark comparisons.
  • Real-world relevance: improved rationality and robustness in complex, uncertainty-rich decision problems.
کلیدواژه‌ها
Multi-attribute group decision making‎؛ Fuzzy؛ ‎Ranking method‎؛ Linguistic assessment؛ Uncertainty
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