Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions

Water Resources Management

Volumn 26, Issue 13, 2012, Pages 3961-3976

  Abed Elmdoust, Armaghan ^a   Kerachian, Reza ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Choquet integral; Fuzzy cooperative game; Hukuhara difference; Inter basin water allocation; Intra basin water allocation; Shapley value

Indexed keywords

CHOQUET INTEGRAL; COOPERATIVE GAME; HUKUHARA DIFFERENCE; SHAPLEY VALUE; WATER ALLOCATIONS;

COMMUNICATION CHANNELS (INFORMATION THEORY); DIFFERENCE EQUATIONS; FADING CHANNELS; FUZZY RULES; GAME THEORY; INTEGRAL EQUATIONS; RESOURCE ALLOCATION;

WATER RESOURCES;

FUZZY MATHEMATICS; GAME THEORY; OPTIMIZATION; WATER MANAGEMENT; WATER USE EFFICIENCY;

IRAN;

EID: 84866058083     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-012-0115-0     Document Type: Article

References (14)

1. Banks HT, Jacobs MQ (1970) A differential calculus for multifunctions. J Math Anal Appl 29: 246-272.
2. Borkotokey S (2008) Cooperative games with fuzzy coalitions and fuzzy characteristic functions. Fuzzy Set Syst 159: 138-151.
3. Butnariu D (1980) Stability and Shapley value for n-persons fuzzy game. Fuzzy Set Syst 4: 63-72.
4. Dubois D, Kerre E, Mesiar R, Prade H (2000) Fuzzy interval analysis. In: Dubois D, Prade H (eds) The handbook of fuzzy sets: volume I. Fundamentals of fuzzy sets, 1st edn. Kluwer Academic Publishers, Dordrecht, pp 483-581.
5. Kucukmehmetoglu M (2009) A game theoretic approach to assess the impacts of major investments on transboundary water resources: the case of the Euphrates and Tigris. Water Resour Mange 23(15): 3069-3099.
6. Li S, Zhang Q (2009) A simplified expression of the Shapley function for fuzzy game. Eur J Oper Res 196: 234-245.
7. Mahjouri N, Ardestani M (2010) A game theoretic approach for interbasin water resources allocation considering the water quality issues. Environ Monit Assess 167(1-4): 527-544.
8. Mahjouri N, Ardestani M (2011) Application of cooperative and non-cooperative games in large-scale water quantity and quality management: a case study. Environ Monit Assess 172(1-4): 157-169.
9. Nikoo MR, Kerachian R, Poorsepahy-Samian H (2012) An interval parameter model for cooperative inter-basin water resources allocation considering the water quality issues. Water Resour Manage. doi: 10. 1007/s11269-012-0074-5.
10. Sadegh M, Kerachian R (2011) Water resources allocation using solution concepts of fuzzy cooperative games: fuzzy least core and fuzzy weak least core. Water Resour Manage 25(10): 2543-2573.
11. Sadegh M, Mahjouri N, Kerachian R (2010) Optimal inter-basin water allocation using crisp and fuzzy shapley games. Water Resour Manage 24(12): 2291-2310.
12. Tsurumi M, Tanino T, Inuiguchi M (2001) A Shapley function on a class of cooperative fuzzy games. Eur J Oper Res 129: 596-618.
13. Yu X, Zhang Q (2009) The fuzzy core in games with fuzzy coalitions. J Comput Appl Math 230: 173-186.
14. Yu X, Zhang Q (2010) An extension of cooperative fuzzy games. Fuzzy Set Syst 161: 1614-1634.