Application of fuzzy probability in water quality management of a river system

Abstract

Wafer quolify munagemenfof0 river sysrem is addressed i n n fizzy andprobobilisric framework. Two ryper of uneerfoinry, namely randomness and vagueness. ore rreared simrrlfonmii.dy in the monogemmf problem. A.fuzzy-ser-bo.~ed dqfinifion rhaf is a more general case offhe existing crisp-set-based dqfmirion of low w l e r qualify is infroduced. The evenr of low wafer qu01it)i af r? check-poinr in rhe river syrrsm i.s considered as n fuzzy even?. The rirk of low ~, a f e r qualify ir rhen definedm rhepobabiliry of rhe fuzzy even1 s f l m wafer qu01if.y. Insreadof consfrainiag fhe risk ofviolafim of warw quality srmdord by nfinile value of risk throuplr a chance con.~framr. LI furry sef sf low risk rhaf con.sidws a range ofri.yk levels with approprioc membership values i$ inrroduced. Diffkrmr goalr o.wocioird with rhr manopemenf problem m e expressed as ,fuzzy iei-i. The rcirrlring manapmenf prohlem ir furmuluiedas a,fuzzy mslriobjperive oprimimtinn nrohlem I

Hydrochemical characteristics and water quality assessment of surface water and groundwater in Songnen plain, Northeast China

“…Water quality management are characterized by imprecision in objectives and water quality standards. However, fuzzy mathematics provide a useful technique in addressing such imprecision (Mujumdar and Sasikumar, 2002;Saruwatari and Yomota, 1995;Saslkumart and Mulumdart, 2000). Moreover, multivariate statistics techniques are the efficient method to analyze the water samples and characteristics of hydrochemistry (Singh et al, 2004).…”

Non-Uniform Flow Effect on Optimal Waste Load Allocation in Rivers

“…Typically, the water quality response is quantified in terms of the Dissolved Oxygen (DO) content at specified receptor locations along the river. Streeter-Phelps (Streeter and Phelps, 1925) model is probably one of the most commonly used water quality simulation models in waste load allocation studies (Burn and McBean, 1985;Burn, 1989;Sasikumar and Mujumdar, 2000;Vasquez et al, 2000;Mujumdar and Sasikumar, 2002). Camp (1963) and Dobbins (1964) proposed modifications to the Streeter-Phelps (S-P) model to include sedimentation or scour rate, algal and benthic oxygen demands, and a non-point source input rate.…”

Risk analysis methods of the water resources system under uncertainty

“…Therefore, when there is a lack of data, or only availability of imprecise data, researchers can estimate the overall situation based on limited sample sizes (either measured or simulated) and further evaluate the risk in the WRS [16] . In the past decades, a broad spectrum of literature has been published for risk analysis and risk evaluation of the WRS, considering water shortage [4,17,18] , reservoir operational management [19,20] , water pollution management [21][22][23][24] as well as floods [25][26][27][28][29] . Some of the basic variables frequently fluctuate with seasonal variation in the WRS, such as stream flow and concentration of pollutants.…”