Abbasi H, Delavar M, and Mohammadi Sedaran H (2022) Basin’s water resource carrying capacity assessment in climate change conditions using simulation-optimization approach; case study: Tashk-Bakhtegan basin. Water and Irrigation Management 11(4):797–814 (In Persian)
Alam NMFHNB, Ku Khalif KMN, Jaini NI, and Gegov A (2023) The application of Z-numbers in fuzzy decision making: the state of the art. Information 14(7):1–24
Aliev RA, Huseynov OH, and Zulfugarova RX (2016) Z-distance based if-then rules. The Scientific World Journal (1):1673537
Bellman RE, and Zadeh LA (1970) Decision-making in a fuzzy environment. Management Science 17(4):B-141-B-164
Central Bank of Iran (2016) Input-Output Table (In Persian)
Chi M, Zhang D, Fan G, Zhang W, and Liu H (2019) Prediction of water resource carrying capacity by the analytic hierarchy process-fuzzy discrimination method in a mining area. Ecological Indicators 96:647–655
Cobb CW and Douglas PH (1928) A theory of production, the american economic review. American Economic Association 18(1):139–165
Cui Y, Feng P, Jin J, and Liu L (2018) Water resources carrying capacity evaluation and diagnosis based on set pair analysis and improved the entropy weight method. Entropy 20(5):359
Forrester JW (1971) Counterintuitive behavior of social systems. Theory and Decision 2(2):109–140
Ghorbani F, Behboudi D, and Zarghami M (2022) Identification and thematic analysis of barriers to adaptation to climate change in the water resources system (case study: Qarranqu basin) Iran-Water Resources Research 18(3):46-62 (In Persian)
Heydari A and Moghimi E (2008) Geomorphology and systemic management of the river, a case study_ Qaranqo basin to Sahand dam (Hashtrod). Geography 5(15):119–137 (In Persian)
Hwang CL and Yoon K (1981) Methods for multiple attribute decision making: Methods and applications a state-of-the-art survey. Springer Berlin Heidelberg 58–191
Intergovernmental Panel on Climate Change (2014) Climate change 2014: Synthesis report. Contribution of working groups I, II, and III, Fifth Assessment Report of the IPCC, Geneva, Switzerland 151 pp
Ju-Long D (1982) Control problems of grey systems. Systems & Control Letters 1(5):288–294
Kang J, Zi X, Wang S, and He L (2019) Evaluation and optimization of agricultural water resources carrying capacity in Haihe river basin, China. Water 11(5):999
Keshavarz-Ghorabaee M, Amiri M, Zavadskas EK, Turskis Z, and Antucheviciene J (2021) Determination of objective weights using a new method based on the removal effects of Criteria (MEREC). Symmetry 13(4):525
Keyvanfar M, Janatrostami S, and Ashrafzadeh A (2025) A comprehensive assessment of water resources carrying capacity in Anzali wetland using AHP-entropy-CRITIC combined weighting method and TOPSIS-GRA Model. Iranian Journal of Soil and Water Research 56(1):105–126 (In Persian)
Leuning R, Zhang YQ, Rajaud A, Cleugh H, and Tu K (2008) A simple surface conductance model to estimate regional evaporation using MODIS leaf area index and the Penman-Monteith equation. Water Resources Research 44(10)
Li Q, Liu Z, Yang Y, Han Y, and Wang X (2023a) Evaluation of water resources carrying capacity in Tarim river basin under game theory combination weights. Ecological Indicators 154:110609
Li W, Liu S, Chang W, Zhang X, Li C, and Qin T (2023b) Research progress on the evaluation of water resources carrying capacity. Polish Journal of Environmental Studies 32(3):1975-1986
Li Y, Pelusi D, Deng Y, and Cheong KH (2021) Relative entropy of Z-numbers. Information Sciences 581:1–17
Liu Y, Gao C, Ji X, Zhang Z, Zhang Y, Liu C, and Wang Z (2022) Simulation of water resources carrying capacity of the Hangbu river basin based on system dynamics model and TOPSIS method. Frontiers in Environmental Science 10:1045907
Lotfi FH and Fallahnejad R (2010) Imprecise shannon’s entropy and multi attribute decision making. Entropy 53–62
Luo X, Wang G, Mou Y, Liu R, Zhou H, Si H, and Chen Q (2017) The analysis of the water resource carrying capacity in the shale and gas exploration area, southwest China karst region- a case study from Cenggong county. The Open Civil Engineering Journal 11:258–269
Lv Y, Wang Y, Zhang X, and Zhang D (2023) A study on the carrying capacity of water resources utilizing the fuzzy comprehensive evaluation model—illustrated by a case from Guantao county. Water 15(24):4277
Meng C, Wang X, and Li Y (2018) An optimization model for water management based on water resources and environmental carrying capacities: A case study of the Yinma river basin, northeast China. Water 10(5):565
Mohammadi Sedaran H, Delavar M, and Shahbazbegian M (2021) Assessment of water resources carrying capacity of the river basins using the simulation approach and iIndex-based evaluation method; case study: Zarrineh-Roud basin. Iran-Water Resources Research 17(2):154–173 (In Persian)
Nourani V, and Najafi H (2023) A Z-number based multi-attribute decision-making algorithm for hydro-environmental system management. Neural Computing and Applications 35(9):6405–6421
Nourani V, Najafi H, Sharghi E, and Roushangar K (2021) Application of Z-numbers to monitor drought using large-scale oceanic-atmospheric parameters. Journal of Hydrology 598:126198
Nourani V, Ahmadi R, Zhang Y, and Dąbrowska D (2025) Ensemble machine learning-based extrapolation of Penman-Monteith-Leuning evapotranspiration data. Ecological Indicators 170:113012
Nourani V, Gholinia A, Abbaszadeh P, Ahmadi R, and Ke CQ (2024) Unravelling the impact of climate change and anthropogenic activities on streamflow: The benefit of newly developed evapotranspiration data. Hydrological Sciences Journal 69(14):2026–2043
Peng J, Du Y, Liu Y, and Hu X (2016) How to assess urban development potential in mountain areas? An approach of ecological carrying capacity in the view of coupled human and natural systems. Ecological Indicators 60:1017–1030
Phan TD, Bertone E, and Stewart RA (2021) Critical review of system dynamics modelling applications for water resources planning and management. Cleaner Environmental Systems 2:100031
Rezaei J (2015) Best-worst multi-criteria decision-making method. Omega 53:49–57
Saaty TL, and Alexander JM (1989) Conflict resolution: the analytic hierarchy approach. Rws Publications
Sen A (1974) Informational bases of alternative welfare approaches: Aggregation and income distribution. Journal of Public Economics 3(4):387–403
Shannon CE (1948) A mathematical theory of communication. The Bell System Technical Journal 27(3):379–423
Shao C, Guan Y, Chu C, Shi R, Ju M, and Shi J (2014) Trends analysis of ecological environment security based on DPSIR model in the coastal zone: A survey study in Tianjin, China. International Journal of Environmental Research. 8(3):765–778
Song Q, Wang Z, and Wu T (2024) Risk analysis and assessment of water resource carrying capacity based on weighted grey model with improved entropy weighting method in the central plains region of China. Ecological Indicators 160:111907
Statistical Center of Iran (2006) National population and housing census. (In Persian)
Statistical Center of Iran (2016) National population and housing census. (In Persian)
Statistical Center of Iran (2020) Annual labor force survey. (In Persian)
Sun X, Peng A, Hu S, Shi Y, Lu L, and Bi A (2024) Dynamic successive assessment of water resource carrying capacity based on system dynamics model and variable fuzzy pattern recognition method. Water 16(2):304
Thornthwaite CW (1948) An approach toward a rational classification of climate. Geographical Review 38(1):55–94
Wang G, Xiao C, Qi Z, Meng F, and Liang X (2021a) Development tendency analysis for the water resource carrying capacity based on system dynamics model and the improved fuzzy comprehensive evaluation method in the Changchun city, China. Ecological Indicators 122:107232
Wang J, Mu X, Chen S, Liu W, Wang Z, and Dong Z (2021b) Dynamic evaluation of water resources carrying capacity of the Dianchi lake basin in 2005–2015, based on DSPERM framework model and simulated annealing-projection pursuit model. Regional Sustainability 2(2):189–201
Wang XK, Wang YT, Wang JQ, Cheng PF and Li L (2020) A todim-promethee ? Based multi-criteria group decision making method for risk evaluation of water resource carrying capacity under probabilistic linguistic Z-number circumstances. Mathematics 8(7):1190
Wang X, Liu L, Zhang S, and Gao C (2022) Dynamic simulation and comprehensive evaluation of the water resources carrying capacity in Guangzhou city, China. Ecological Indicators 135:108528
Wang Y, Zhou X, and Engel B (2018) Water environment carrying capacity in Bosten lake basin. Journal of Cleaner Production 199:574–583
Wen KL, Chang TC, and You ML (1998) The grey entropy and its application in weighting analysis. SMC’98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No. 98CH36218). IEEE 1842–1844
Wu L, Su X, Ma X, Kang Y, and Jiang Y (2018) Integrated modeling framework for evaluating and predicting the water resources carrying capacity in a continental river basin of northwest China. Journal of Cleaner Production 204:366–379
Wu X and Hu F (2020) Analysis of ecological carrying capacity using a fuzzy comprehensive evaluation method. Ecological Indicators 113:106243
Yang JF, Lei K, Khu ST, Qiao F, and Liu Q (2015) Assessment of water ecological carrying capacity using an indicator-based method applied to Tieling city, China. Water Supply 15(5):940–947
Yang L, Hao Y, Wang B, Li X, and Gao W (2025) Evaluation of the water resources carrying capacity in Shaanxi province based on DPSIRM–TOPSIS analysis. Ecological Indicators 173:113369
Yang M, Qu D, Shen Y, Yang S, Liu B, and Lu W (2023) Evaluation of water resources carrying capacity of Zhangye city based on combined weights and TOPSIS modeling. Water 15(24):4229
Yang X, Sun B, Lei S, Li F and Qu Y (2022) A bibliometric analysis and review of water resources carrying capacity using rené descartes’s discourse theory. Frontiers in Earth Science 10:970582
Zadeh LA (1965) Fuzzy sets. Information and Control 8(3):338–353
Zadeh LA (2011) A note on Z-numbers. Information Sciences 181(14):2923–2932
Zhang Y, Peña-Arancibia JL, McVicar TR, Chiew FHS, Vaze J, Liu C, Lu X, Zheng H, Wang Y, Liu YY, … Pan M (2016) Multi-decadal trends in global terrestrial evapotranspiration and its components. Scientific Reports 6(1):19124
Zhang Z, Lu WX, Zhao Y, and Song WB (2014) Development tendency analysis and evaluation of the water ecological carrying capacity in the Siping area of Jilin province in China based on system dynamics and analytic hierarchy process. Ecological Modelling 275:9–21
Zyoud SH, Kaufmann LG, Shaheen H, Samhan S, and Fuchs-Hanusch D (2016) A framework for water loss management in developing countries under fuzzy environment: Integration of fuzzy AHP with fuzzy TOPSIS. Expert Systems with Applications 61:86–105
