A novel solving method for multi-objective decision making problems under fuzzy conditions
Subject Areas : Operation ResearchAlireza Alinezhad 1 , ابوالفضل کاظمی 2 , Mojgan Khorasani 3
1 - Associate Professor, Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin branch, Islamic Azad University, Qazvin, Iran.
2 - دانشگاه آزاد اسلامی، واحد قزوین، دانشکده مهندسی صنایع و مکانیک، قزوین، ایران
3 - دانشگاه آزاد اسلامی، واحد قزوین، دانشکده مهندسی صنایع و مکانیک، قزوین، ایران
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Aköz, O., & Petrovic, D. (2007). A fuzzy goal programming method with imprecise goal hierarchy. European journal of operational research, 181(3), 1427-1433.
Alikhani, R., & Azar, A. (2013). A combined goal programming model for gas resources allocation under uncertainty. Advances in Fuzzy Sets and Systems, 15(1), 17.
Alikhani, R., & Azar, A. (2015). A hybrid fuzzy satisfying optimization model for sustainable gas resources allocation. Journal of Cleaner Production, 107, 353-365.
Alinezhad, A. (2016). An Integrated DEA and Data Mining Approach for Performance Assessment. Iranian Journal of Optimization, 8(2), 59-69.
Alinezhad, A., & Taherinezhad, A. (2020). Control Chart Recognition Patterns Using Fuzzy Rule-Based System. Iranian Journal of Optimization, 12(2), 149-160.
Amini, A., & Alinezhad, A. (2016). A combined evaluation method to rank alternatives based on VIKOR and DEA with belief structure under uncertainty. Iranian Journal of Optimization, 8(2), 111-122.
Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment. Management science, 17(4), B-141.
Biuki, M., Kazemi, A., & Alinezhad, A. (2020). An integrated location-routing-inventory model for sustainable design of a perishable products supply chain network. Journal of Cleaner Production, 260, 120842.
Chankong, V., & Haimes, Y. Y. (1983). Multiobjective decision making: theory and methodology. Courier Dover Publications.
Charnes, A., & Cooper, W. W. (1961). Management Models and Industrial Applications of Linear Programming, Vol. 1. John Wiley, New York.
Chen, L. H., & Tsai, F. C. (2001). Fuzzy goal programming with different importance and priorities. European journal of operational research, 133(3), 548-556.
Cai, Y. P., Huang, G. H., Tan, Q., & Yang, Z. F. (2009). Planning of community-scale renewable energy management systems in a mixed stochastic and fuzzy environment. Renewable energy, 34(7), 1833-1847.
Çakır, E., & Ulukan, H. Z. (2019, July). Fuzzy multi-objective decision making approach for nuclear power plant installation. In International Conference on Intelligent and Fuzzy Systems (pp. 1258-1265). Springer, Cham.
Daim, T. U., Kayakutlu, G., & Cowan, K. (2010). Developing Oregon’s renewable energy portfolio using fuzzy goal programming model. Computers & Industrial Engineering, 59(4), 786-793.
Goodrich, M. A., Stirling, W. C., & Frost, R. L. (1998). A theory of satisficing decisions and control. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 28(6), 763-779.
Hannan, E. L. (1981). Linear programming with multiple fuzzy goals. Fuzzy sets and systems, 6(3), 235-248.
Hu, C., & Li, S. (2006). Enhanced interactive satisfying optimization approach to multiple objective optimization with preemptive priorities. International Journal of Information Technology & Decision Making, 5(01), 47-63.
Ijiri, Y. (1965). Management goals and accounting for control (Vol. 3). North Holland Publishing Company.
Jinturkar, A. M., & Deshmukh, S. S. (2011). A fuzzy mixed integer goal programming approach for cooking and heating energy planning in rural India. Expert Systems with Applications, 38(9), 11377-11381.
Kaya, T., & Kahraman, C. (2011). Multicriteria decision making in energy planning using a modified fuzzy TOPSIS methodology. Expert Systems with Applications, 38(6), 6577-6585.
Kahraman, C., Kaya, İ., & Cebi, S. (2009). A comparative analysis for multiattribute selection among renewable energy alternatives using fuzzy axiomatic design and fuzzy analytic hierarchy process. Energy, 34(10), 1603-1616.
Kaya, T., & Kahraman, C. (2010). Multicriteria renewable energy planning using an integrated fuzzy VIKOR & AHP methodology: The case of Istanbul. Energy, 35(6), 2517-2527.
Lai, Y. J., & Hwang, C. L. (1994). Fuzzy multiple objective decision making. In Fuzzy multiple objective decision making (pp. 139-262). Springer, Berlin, Heidelberg.
Li, Y. F., Li, Y. P., Huang, G. H., & Chen, X. (2010). Energy and environmental systems planning under uncertainty—an inexact fuzzy-stochastic programming approach. Applied Energy, 87(10), 3189-3211.
Li, S., Yang, Y., & Teng, C. (2004). Fuzzy goal programming with multiple priorities via generalized varying-domain optimization method. IEEE Transactions on Fuzzy Systems, 12(5), 596-605.
Lin, C. C. (2004). A weighted max–min mod for fuzzy goal programming. Fuzzy sets and systems, 142(3), 407-420.
Liu, B.(2002). Theory and practice of uncertain programming (Vol. 239). Berlin: Springer.
Majidi, M., Nojavan, S., Esfetanaj, N. N., Najafi-Ghalelou, A., & Zare, K. (2017). A multi-objective model for optimal operation of a battery/PV/fuel cell/grid hybrid energy system using weighted sum technique and fuzzy satisfying approach considering responsible load management. Solar Energy, 144, 79-89.
Mavrotas, G., Diakoulaki, D., Florios, K., & Georgiou, P. (2008). A mathematical programming framework for energy planning in services’ sector buildings under uncertainty in load demand: The case of a hospital in Athens. Energy policy, 36(7), 2415-2429.
Narasimhan, R. (1980). Goal programming in a fuzzy environment. Decision sciences, 11(2), 325-336.
Nouri, A., Khodaei, H., Darvishan, A., Sharifian, S., & Ghadimi, N. (2018). RETRACTED: Optimal performance of fuel cell-CHP-battery based micro-grid under real-time energy management: An epsilon constraint method and fuzzy satisfying approach.
Pal, B. B., & Moitra, B. N. (2003). A goal programming procedure for solving problems with multiple fuzzy goals using dynamic programming. European Journal of Operational Research, 144(3), 480-491.
Sakawa, M., Kato, K., & Katagiri, H. (2004). An interactive fuzzy satisficing method for multiobjective linear programming problems with random variable coefficients through a probability maximization model. Fuzzy sets and systems, 146(2), 205-220.
Sakawa, M., Yano, H., & Yumine, T. (1987). An interactive fuzzy satisficing method for multiobjective linear-programming problems and its application. IEEE Transactions on Systems, Man, and Cybernetics, 17(4), 654-661.
Sarrafha, K., Kazemi, A., & Alinezhad, A. (2014). A multi-objective evolutionary approach for integrated production-distribution planning problem in a supply chain network. Journal of Optimization in Industrial Engineering, 7(14), 89-102.
Steuer, R. E. (1986). Multiple criteria optimization. Theory, computation and applications.
Su, T. S., & Wu, C. C. (2020). A fuzzy multi-objective decision system for recoverable remanufacturing planning. Journal of Information and Optimization Sciences, 42(1), 135-154.
Tabrizi, N., Babaei, E., & Mehdinejad, M. (2016). An interactive fuzzy satisfying method based on particle swarm optimization for multi-objective function in reactive power market. Iranian Journal of Electrical and Electronic Engineering, 12(1), 65-72.
Tanaka, H., Okuda, T., & Asai, K. (1974). Fuzzy mathematical programming. Transactions of the society of instrument and control engineers, 9(5), 607-613.
Tiwari, R. N., Dharmar, S., & Rao, J. R. (1986). Priority structure in fuzzy goal programming. Fuzzy sets and systems, 19(3), 251-259.
Tiwari, R. N., Dharmar, S., & Rao, J. (1987). Fuzzy goal programming—an additive model. Fuzzy sets and systems, 24(1), 27-34.
Yang, J. B. (2000). Minimax reference point approach and its application for multiobjective optimisation. European Journal of Operational Research, 126(3), 541-556.
Yang, J. B., & Sen, P. (1996). Preference modelling by estimating local utility functions for multiobjective optimization. European Journal of Operational Research, 95(1), 115-138.
Yu, P.L. (1985). ‘Multi-criteria Decision Making: Concepts, Techniques, and Extensions’, Plenum, New York.
Zimmermann, H. J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy sets and systems, 1(1), 45-55.
