IJE TRANSACTIONS C: Aspects Vol. 30, No. 9 (September 2017) 1352-1361   

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Y. Dorfeshan, S. M. Mousavi, B. Vahdani and V. Mohagheghi
( Received: February 17, 2017 – Accepted in Revised Form: July 07, 2017 )

Abstract    Decision making is an important issue in business and project management that assists finding the optimal alternative from a number of feasible alternatives. Decision making requires adequate consideration of uncertainty in projects. In this paper, in order to address uncertainty of project environments, interval type-2 fuzzy sets (IT2FSs) are used. In other words, the rating of each alternative and weight of each criterion are expressed by IT2FSs. Moreover, for obtaining weights of criteria, interval type-2 fuzzy analytic hierarchy process (AHP) method is employed. In addition, a new enhanced model of multi-objective optimization on the basis of simple ratio analysis (MOOSRA) method is developed with IT2F-relative preference relation. Finally, to illustrate applicability of the introduced approach, an existing application from literature is adopted and solved.


Keywords    Project critical path problem, Relative preference relation, Interval type-2 fuzzy sets (IT2FSs), MOOSRA method


چکیده    تصمیم‏گیری یک مساله مهم در کسب و کار و مدیریت پروژه است که به پیدا کردن آلترناتیو بهینه از بین آلترناتیوهای شدنی کمک می‏کند. تصمیم‏گیری نیاز به توجه کافی به عدم قطعیت در پروژه ها دارد. در این مقاله، به منظور مواجهه با عدم قطعیت‏های موجود در پروژه، مجموعه‏های فازی نوع 2 بازه‏ای استفاده می‏شود. به عبارت دیگر ارزیابی آلترناتیوها و وزن هر معیار به صورت اعداد فازی نوع 2 بازه‏‏ای بیان می‏شود. علاوه بر این، برای به دست آوردن وزن معیارها از روش وزن دهی فازی نوع 2 بازه‏ای AHP استفاده می‏شود. به علاوه، یک مدل ترکیبی از روش MOOSRA به همراه ارتباط اولویت نسبی فازی نوع 2 بازه‏ای توسعه داده می‏شود. در انتها برای نشان دادن قابلیت روش معرفی شده یک مثال کاربردی موجود در مرور ادبیات حل می‏شود.


1.      Soleymani, P., Mousavi, S.M., Vahdani, B. and Aboueimehrizi, A., "A new fuzzy multi-objective optimisation method with desirability function under uncertainty", International Journal of Applied Decision Sciences,  Vol. 9, No. 1, (2016), 100-120.

2.      Vahdani, B., Salimi, M. and Mousavi, S., "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,  Vol. 27, No. 11, (2014).

3.      Mousavi, S., Gitinavard, H. and Vahdani, B., "Evaluating construction projects by a new group decision-making model based on intuitionistic fuzzy logic concepts", International Journal of Engineering-Transactions C: Aspects,  Vol. 28, No. 9, (2015), 1312-1320.

4.      Gitinavard, H., Mousavi, S.M. and Vahdani, B., "Soft computing based on hierarchical evaluation approach and criteria interdependencies for energy decision-making problems: A case study", Energy,  Vol. 118, (2017), 556-577.

5.      Gitinavard, H., Mousavi, S. and Vahdani, B., "A new balancing and ranking method based on hesitant fuzzy sets for solving decision-making problems under uncertainty", International Journal of Engineering-Transactions B: Applications,  Vol. 28, No. 2, (2014), 214-222.

6.      Moradi, N., Mousavi, S.M. and Vahdani, B., "An earned value model with risk analysis for project management under uncertain conditions", Journal of Intelligent & Fuzzy Systems,  Vol. 32, No. 1, (2017), 97-113.

7.      Vahdani, B., Salimi, M. and Mousavi, S.M., "A new compromise solution model based on dantzig–wolfe decomposition for solving belief multi-objective nonlinear programming problems with block angular structure", International Journal of Information Technology & Decision Making,  Vol. 16, No. 02, (2017), 333-387.

8.      Wang, Y.-J., "Ranking triangle and trapezoidal fuzzy numbers based on the relative preference relation", Applied mathematical modelling,  Vol. 39, No. 2, (2015), 586-599.

9.      Balezentiene, L., Streimikiene, D. and Balezentis, T., "Fuzzy decision support methodology for sustainable energy crop selection", Renewable and Sustainable Energy Reviews,  Vol. 17, No., (2013), 83-93.

10.    Kumar, R. and Ray, A., "Selection of material under conflicting situation using simple ratio optimization technique", in Proceedings of Fourth International Conference on Soft Computing for Problem Solving, Springer., (2015), 513-519.

11.    Ray, A., "Green cutting fluid selection using moosra method",  (2014).

12.    Adalı, E.A. and Işık, A.T., "The multi-objective decision making methods based on multimoora and moosra for the laptop selection problem", Journal of Industrial Engineering International,  Vol. 13, No. 2, (2017), 229-237.

13.    Wei, G., "Interval valued hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making", International Journal of Machine Learning and Cybernetics,  Vol. 7, No. 6, (2016), 1093-1114.

14.    Lu, M. and Wei, G.-W., "Models for multiple attribute decision making with dual hesitant fuzzy uncertain linguistic information", International Journal of Knowledge-based and Intelligent Engineering Systems,  Vol. 20, No. 4, (2016), 217-227.

15.    Wei, G.-W., Xu, X.-R. and Deng, D.-X., "Interval-valued dual hesitant fuzzy linguistic geometric aggregation operators in multiple attribute decision making", International Journal of Knowledge-based and Intelligent Engineering Systems,  Vol. 20, No. 4, (2016), 189-196.

16.    Wei, G., "Picture fuzzy cross-entropy for multiple attribute decision making problems", Journal of Business Economics and Management,  Vol. 17, No. 4, (2016), 491-502.

17.    Mohagheghi, V., Mousavi, S.M. and Vahdani, B., "A new multi-objective optimization approach for sustainable project portfolio selection: A realworld application under interval-valued fuzzy environment", Iranian Journal of Fuzzy Systems,  Vol. 13, No. 6, (2016), 41-68.

18.    Zadeh, L.A., "The concept of a linguistic variable and its application to approximate reasoning—i", Information sciences,  Vol. 8, No. 3, (1975), 199-249.

19.    Mendel, J.M., "Type-2 fuzzy sets: Some questions and answers", in IEEE Connections, Newsletter of the IEEE Neural Networks Society. Vol. 1, (2003), 10-13.

20.    Kilic, M. and Kaya, I., "Investment project evaluation by a decision making methodology based on type-2 fuzzy sets", Applied Soft Computing,  Vol. 27, (2015), 399-410.

21.    Asan, U., Soyer, A. and Bozdag, E., "An interval type-2 fuzzy prioritization approach to project risk assessment", Multiple-Valued Logic and Soft Computing,  Vol. 26, No. 6, (2016), 541-577.

22.    San Cristobal, J.R., "Critical path definition using multicriteria decision making: Promethee method", Journal of Management in Engineering,  Vol. 29, No. 2, (2012), 158-163.

23.    Chanas, S. and Zieliński, P., "Critical path analysis in the network with fuzzy activity times", Fuzzy sets and systems,  Vol. 122, No. 2, (2001), 195-204.

24.    Liang, G.-S. and Han, T.-C., "Fuzzy critical path for project network", Information and Management Sciences,  Vol. 15, No. 4, (2004), 29-40.

25.    Chen, S.-P. and Hsueh, Y.-J., "A simple approach to fuzzy critical path analysis in project networks", Applied Mathematical Modelling,  Vol. 32, No. 7, (2008), 1289-1297.

26.    Shanmugasundari, M. and Ganesan, K., "Project scheduling problems under fuzzy environment: A new solution approach", International Journal of Pure and Applied Mathematics,  Vol. 95, No. 3, (2014), 387-399.

27.    Kaur, P. and Kumar, A., "Linear programming approach for solving fuzzy critical path problems with fuzzy parameters", Applied Soft Computing,  Vol. 21, (2014), 309-319.

28.    Elizabeth, S. and Sujatha, L., "Project scheduling method using triangular intuitionistic fuzzy numbers and triangular fuzzy numbers", Applied Mathematical Sciences,  Vol. 9, No. 4, (2015), 185-198.

29.    Kazemi, A., Talebi, A. and Oroojeni Mohammad Javad, M., "Analysis of critical paths in a project network with random fuzzy activity times", AUT Journal of Modeling and Simulation,  Vol. 48, No. 2, (2016), 93-102.

30.    Wang, Y.-J., "A criteria weighting approach by combining fuzzy quality function deployment with relative preference relation", Applied Soft Computing,  Vol. 14, (2014), 419-430.

31.    Chen, S.-M. and Lee, L.-W., "Fuzzy multiple attributes group decision-making based on the interval type-2 topsis method", Expert systems with applications,  Vol. 37, No. 4, (2010), 2790-2798.

32.    Cevik Onar, S., Oztaysi, B. and Kahraman, C., "Strategic decision selection using hesitant fuzzy topsis and interval type-2 fuzzy ahp: A case study", International Journal of Computational intelligence systems,  Vol. 7, No. 5, (2014), 1002-1021.

33.             Ucal Sary, I., Oztaysi, B. and Kahraman, C., "Fuzzy analytic hierarchy process using type‐2 fuzzy sets: An application to warehouse location selection", Multicriteria Decision Aid and Artificial Intelligence,  (2013), 285-308.

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