Otwarty dostęp

Introducing hesitant fuzzy equations and determining market equilibrium price


Zacytuj

Abbasbandy, S. and Asady, B. (2004) Newton’s method for solving fuzzy nonlinear equations. Appl Math Comput, 159, 349–356.10.1016/j.amc.2003.10.048 Search in Google Scholar

Allahviranloo, T. and Babakordi, F. (2017) Algebraic solution of fuzzy linear system as: $$\widetilde {A}\widetilde {X}+\widetilde {B}\widetilde {X}= \widetilde {Y}$$ A˜X˜+ B˜X˜= Y˜. Soft Computing, 21(24), 7463-7472.10.1007/s00500-016-2294-8 Search in Google Scholar

Amirfakhrian, M. (2012) Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. Soft Comput, 16(6), 1035–1041.10.1007/s00500-012-0801-0 Search in Google Scholar

Babakordi, F. and Firozja, A. (2020) Solving Fully Fuzzy Dual Matrix System With Optimization Problem. International Journal of Industrial Mathematics, 12(2), 109-119. Search in Google Scholar

Babakordi, F., Allahviranloo, T. and Adabitabarrozja, T. (2016) An efficient method for solving LR fuzzy dual matrix system. Journal of Intelligent & Fuzzy Systems, 30, 575–581.10.3233/IFS-151781 Search in Google Scholar

Baumol, W. J. (1972). Economic Theory and Operations Analysis. Prentice-Hall, Inc., Englewood Cliffs, New Jersey. Search in Google Scholar

Begnini, M., Bertol, W. and Martins, N. A. (2018). Design of an adaptive fuzzy variable structure compensator for the nonholonomic mobile robot in trajectory tracking task. Control and Cybernetics, 47(3), 239-275. Search in Google Scholar

Boyacı, A. Ç. (2020) Selection of eco-friendly cities in Turkey via a hybrid hesitant fuzzy decision making approach. Applied Soft Computing, 89.10.1016/j.asoc.2020.106090 Search in Google Scholar

Buckley, J. (1991) Solving fuzzy equations: a new solution concept. Fuzzy Sets Syst, 39(3), 291–301.10.1016/0165-0114(91)90099-C Search in Google Scholar

Buckley, J., Feuring, T. and Hayashi, Y. (2002) Solving fuzzy equations using evolutionary algorithms and neural nets. Soft Computing, 6(2), 116–123.10.1007/s005000100147 Search in Google Scholar

Chen, N., Xu, Z. and Xia, M. (2013) Interval-valued hesitant preference relations and their applications to group decision making. Knowledge Based Systems, 37, 528–540.10.1016/j.knosys.2012.09.009 Search in Google Scholar

Farahani, H., Nehi, H. and Paripour, M. (2016) Solving fuzzy complex system of linear equations using eigenvalue method. J. Intell. Fuzzy Syst., 31(3), 1689–1699.10.3233/JIFS-152046 Search in Google Scholar

Farhadinia, B. (2014a) Correlation for dual hesitant fuzzy sets and dual interval-valued hesitant fuzzy sets. Int. J. Intell. Syst., 29, 184–205.10.1002/int.21633 Search in Google Scholar

Farhadinia, B. (2014b) Distance and similarity measures for higher order hesitant fuzzy sets. Knowledge Based Systems, 55, 43–48.10.1016/j.knosys.2013.10.008 Search in Google Scholar

Farhadinia, B. and Herrera-Viedma, E. (2018) Sorting of decision-making methods based on their outcomes using dominance-vector hesitant fuzzy-based distance. Soft Computing. doi:https://doi.org/10.1007/s00500-018-3143-8 Search in Google Scholar

Fiedler, M., Nedoma, J., Ramik, J., Rohn, J. and Zimmermann, K. (2006) Optimization Problems with Inexact Data. Springer. Search in Google Scholar

Hesamian, Gh. (2017) Fuzzy similarity measure based on fuzzy sets. Control and Cybernetics, 46 (1), 71-86. Search in Google Scholar

Kalshetti, S. C. and Dixit, S. K. (2018) Self-adaptive grey wolf optimization based adaptive fuzzy aided sliding mode control for robotic manipulator. Control & Cybernetics, 47(4), 383-409. Search in Google Scholar

Khalili Goodarzi, F., Taghinezhad, N. A. and Nasseri, S. H. (2014) A new fuzzy approach to solve a novel model of open shop scheduling problem. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 76(3), 199-210. Search in Google Scholar

Liu, P. and Zhang, X. (2020) A new hesitant fuzzy linguistic approach for multiple attribute decision making based on Dempster–Shafer evidence theory. Applied Soft Computing, 86.10.1016/j.asoc.2019.105897 Search in Google Scholar

Lodwick, W. (1990) Analysis of structure in fuzzy linear programs. Fuzzy Sets and Systems, 38, 15-26.10.1016/0165-0114(90)90097-P Search in Google Scholar

Nasseri, S. H., Khalili, F., Taghi-Nezhad, N. and Mortezania, S. (2014) A novel approach for solving fully fuzzy linear programming problems using membership function concepts. Ann. Fuzzy Math. Inform., 7(3), 355-368. Search in Google Scholar

Noor’ani, A., Kavikumar, J., Mustaf, M. and Nor, S. (2011) Solving dual fuzzy polynomial equation by ranking method. Far East J Math Sci, 51(2), 151–163. Search in Google Scholar

Peng, J., Wang, J., Wu, X. and Tian, C. (2017). Hesitant intuitionistic fuzzy aggregation operators based on the archimedean t-norms and tconorms. Int. J. Fuzzy Syst., 19(3), 702–714.10.1007/s40815-017-0303-4 Search in Google Scholar

Ranjbar, M. and Effati, S. (2019) Symmetric and right-hand-side hesitant fuzzy linear programming. IEEE Transactions on Fuzzy Systems, 28(2), 215-227.10.1109/TFUZZ.2019.2902109 Search in Google Scholar

Stolfi, J. and de Figueriredo, L. (1997) Self-Validated Numerical Methods and Applications. IMPA, Brazilian Mathematics Colloquium monograph. Search in Google Scholar

Taghi-Nezhad, N. (2019) The p-median problem in fuzzy environment: proving fuzzy vertex optimality theorem and its application. Soft Computing. doi:https://doi.org/10.1007/s00500-019-04074-4 Search in Google Scholar

Taleshian, F., Fathali, J., and Taghi-Nezhad, N. A. (2018) Fuzzy majority algorithms for the 1-median and 2-median problems on a fuzzy tree. Fuzzy Information and Engineering, 1-24.10.1080/16168658.2018.1517976 Search in Google Scholar

Tang, X., Peng Z, Ding, H., Cheng, M. and Yang, S. (2018) Novel distance and similarity measures for hesitant fuzzy sets and their applications to multiple attribute decision making. J. Intell. Fuzzy Syst., 34, 3903–3916.10.3233/JIFS-169561 Search in Google Scholar

Torra, V. (2010) Hesitant Fuzzy Sets. International Journal of Intelligent Systems, 25(6), 529–539.10.1002/int.20418 Search in Google Scholar

Torra, V. and Narukawa, Y. (2009) On hesitant fuzzy sets and decision. The 18-th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 1378-1382.10.1109/FUZZY.2009.5276884 Search in Google Scholar

Viattchenin, D. A., Owsiński, J. W. and Kacprzyk, J. (2018) New developments in fuzzy clustering with emphasis on special types of tasks. Control and Cybernetics, 47(2), 115-130. Search in Google Scholar

Wang, J., Wang, D., Zhang, H. and Chen, X. (2014) Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectr, 36, 1001–1019.10.1007/s00291-013-0354-3 Search in Google Scholar

Wei, G. and Zhao, X. (2013) Induced hesitant interval-valued fuzzy Einstein aggregation operators and their application to multiple attribute decision making. J. Intell. Fuzzy Syst., 24(4), 789–803.10.3233/IFS-2012-0598 Search in Google Scholar

Wu, P., Zhou, L., Chen, H. and Tao, Z. (2020) Multi-stage optimization model for hesitant qualitative decision making with hesitant fuzzy linguistic preference relations. Applied Intelligence, 50(1), 222-240.10.1007/s10489-019-01502-8 Search in Google Scholar

Xia, M., Xu, Z. and Chen, N. (2013) Some Hesitant fuzzy aggregation operators with their application in group decision making. Group Decis. Negot., 22(2), 259–279.10.1007/s10726-011-9261-7 Search in Google Scholar

Xian, S. and Guo, H. (2020) Novel supplier grading approach based on interval probability hesitant fuzzy linguistic TOPSIS. Engineering Applications of Artificial Intelligence, 87.10.1016/j.engappai.2019.103299 Search in Google Scholar

Yu, D., Wu, Y. and Zhou, W. (2011) Multi-criteria decision making based on Choquet integral under hesitant fuzzy environment. J. Comput. Inf. Syst., 12(7), 4506–4513. Search in Google Scholar

Zhang, Z. and Chen, S. M. (2020) Group decision making with hesitant fuzzy linguistic preference relations. Information Sciences, 514, 354-368.10.1016/j.ins.2019.11.030 Search in Google Scholar

Zhang, Z., Wang, C., Tian, D. and Li, K. (2014) Induced generalized hesitant fuzzy operators and their application to multiple attribute group decision making. Comput. Ind. Eng., 67, 116–138.10.1016/j.cie.2013.10.011 Search in Google Scholar

Zhou, W. (2014) An accurate method for determining hesitant fuzzy aggregation operator weights and its application to project investment. Int. J. Intell. Syst., 29(7), 668–686.10.1002/int.21651 Search in Google Scholar

Zhu, B., Xu, Z. and Xia, M. (2011) Hesitant fuzzy information aggregation in decision making. International Journal of Approximate Reasoning, 52(3), 395–407.10.1016/j.ijar.2010.09.002 Search in Google Scholar

Zhu, J., Fu, F., Yin, K., Luo, J. and Wei, D. (2014) Approaches to multiple attribute decision making with hesitant interval-valued fuzzy information under correlative environment. J. Intell. Fuzzy Syst., 27, 1057–106510.3233/IFS-131066 Search in Google Scholar