TY - JOUR ID - 4135 TI - Fuzzy multi-objective optimization of linear functions subject to max-arithmetic mean relational inequality constraints JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Kouchakinejad, F. AU - Mashinchi, M. AU - Khorram, E. AD - Department of Mathematics, Graduate University of Advanced Technology, End of Haft Bagh-e-Alavi Highway, Kerman, Iran AD - Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Pajohesh Square, 22nd Bahman Blvd, Kerman, Iran AD - Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, 424 Hafez Ave, Tehran, Iran. Y1 - 2017 PY - 2017 VL - 24 IS - 3 SP - 1561 EP - 1570 KW - Fuzzy inequality KW - Fuzzy relational inequalities KW - Fuzzy solution KW - Linear objective function KW - Max-arithmetic mean composition KW - multi-objective optimization DO - 10.24200/sci.2017.4135 N2 - The main goal of this work is to nd a better solution to a kind of multiobjective optimization problem subject to a system of fuzzy relational inequalities with max-arithmetic mean composition. First, this problem is solved and, then, in the case that the decision maker is not satis ed with any of the solutions, by assigning linear membership functions to the inequalities in the constraints and objective functions and using Bellman-Zadeh decision, a new solution is found. This new solution does not belong to the feasible domain but is considered acceptable based on the decision maker's view. In order to fou nd this solution easier, some simpli cation processes are given. Afterwards, an algorithm is presented to generate the new solution. Finally, an example is given to illustrate the steps of the algorithm. UR - https://scientiairanica.sharif.edu/article_4135.html L1 - https://scientiairanica.sharif.edu/article_4135_0a276849c3dae68b89c77b153ab921c4.pdf ER -