Abstract




 
   

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

PDF URL: http://www.ije.ir/Vol32/No5/B/16-3087.pdf  
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  SOFT COMPUTING-BASED NEW INTERVAL-VALUED PYTHAGOREAN TRIANGULAR FUZZY MULTI-CRITERIA GROUP ASSESSMENT METHOD WITHOUT AGGREGATION: APPLICATION TO A TRANSPORT PROJECTS APPRAISAL
 
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

 

چکیده   

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.

References   

1. Yager, R. R., “Pythagorean fuzzy subsets”, In 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), (2013), 57–61. 
2. Atanassov, K. T., “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, Vol. 20, No. 1, (1986), 87–96. 
3. Zhang, X., “Multicriteria Pythagorean fuzzy decision analysis: A hierarchical QUALIFLEX approach with the closeness index-based ranking methods”, Information Sciences, Vol. 330, (2016), 104–124. 
4. Vahdani, B., Salimi, M., and Mousavi, S.M., “A New Compromise Decision-making Model based on TOPSIS and VIKOR for Solving Multi-objective Large-scale Programming Problems with a Block Angular Structure under Uncertainty”, International Journal of Engineering - Transactions B: Applications, Vol. 27, No. 11, (2014), 1673–1680. 
5. Garg, H., “A novel accuracy function under interval-valued Pythagorean fuzzy environment for solving multicriteria decision making problem”, Journal of Intelligent & Fuzzy Systems, Vol. 31, No. 1, (2016), 529–540. 
6. Ma, Z. and Xu, Z., “Symmetric Pythagorean Fuzzy Weighted Geometric/Averaging Operators and Their Application in Multicriteria Decision-Making Problems”, International Journal of Intelligent Systems, Vol. 31, No. 12, (2016), 1198–1219. 
7. Ren, P., Xu, Z., and Gou, X., “Pythagorean fuzzy TODIM approach to multi-criteria decision making”, Applied Soft Computing, Vol. 42, (2016), 246–259. 

8. Zeng, S., Chen, J., and Li, X., “A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making”, International Journal of Information Technology & Decision Making, Vol. 15, No. 02, (2016), 403–422. 
9. Li, H., Cao, Y., Su, L., and Xia, Q., “An Interval Pythagorean Fuzzy Multi-criteria Decision Making Method Based on Similarity Measures and Connection Numbers”, Information, Vol. 10, No. 2, (2019), 80. 
10. Dorfeshan, Y., and Mousavi, S.M., “A group TOPSIS-COPRAS methodology with Pythagorean fuzzy sets considering weights of experts for project critical path problem”, Journal of Intelligent & Fuzzy Systems, Vol. 36, No. 2, (2019), 1375–1387. 
11. Dorfeshan, Y., Mousavi, S.M., Vahdani, B., and Mohagheghi, V., “Solving Critical Path Problem in Project Network by a New Enhanced Multi-objective Optimization of Simple Ratio Analysis Approach with Interval Type-2 Fuzzy Sets”, International Journal of Engineering - Transactions C: Aspects, Vol. 30, No. 9, (2017), 1352–1361. 
12. Peng, X. and Yang, Y., “Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making”, International Journal of Intelligent Systems, Vol. 31, No. 10, (2016), 989–1020. 
13. Mousavi, S. M., “Solving New Product Selection Problem by a New Hierarchical Group Decision-making Approach with Hesitant Fuzzy Setting”, International Journal of Engineering - Transactions B: Applications, Vol. 30, No. 5, (2017), 729–738. 
14. Shakeel, M., bdullah, S., Shahzad, M., and Siddiqui, N., “Geometric aggregation operators with interval-valued Pythagorean trapezoidal fuzzy numbers based on Einstein operations and their application in group decision making”, International Journal of Machine Learning and Cybernetics, (2019), 1–20. 
15. Garg, H., “A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making”, International Journal of Intelligent Systems, Vol. 31, No. 9, (2016), 886–920. 
16. Yu, C., Shao, Y., Wang, K., and Zhang, L., “A group decision making sustainable supplier selection approach using extended TOPSIS under interval-valued Pythagorean fuzzy environment”, Expert Systems with Applications, Vol. 121, (2019), 1–17. 
17. Mohagheghi, V., Mousavi, S. M., and Vahdani, B., “Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets”, Applied Soft Computing, Vol. 61, (2017), 527–535. 
18. Wan, S.P., Li, S.Q., and Dong, J.Y., “A three-phase method for Pythagorean fuzzy multi-attribute group decision making and application to haze management”, Computers & Industrial Engineering, Vol. 123, (2018), 348–363. 
19. Biswas, A. and Sarkar, B., “Pythagorean fuzzy TOPSIS for multicriteria group decision-making with unknown weight information through entropy measure”, International Journal of Intelligent Systems, Vol. 34, No. 6, (2019), 1108–1128. 
20. Pamučar, D., and Ćirović, G., “The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC)”, Expert Systems with Applications, Vol. 42, No. 6, (2015), 3016–3028. 
21. Xue, Y.X., You, J.X., Lai, X.D., and Liu, H.C., “An interval-valued intuitionistic fuzzy MABAC approach for material selection with incomplete weight information”, Applied Soft Computing, Vol. 38, (2016), 703–713. 
22. Roy, J., and Ranjan, A., “An extended MABAC for multi-attribute decision making using trapezoidal interval type-2 fuzzy numbers”,  arXiv preprint arXiv:1607.01254 , (2016).


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