Water, Energy, Food and Environment
Journal license

Journal

Water, Energy, Food and Environment


Volume
& Issue

Volume 2, Issue 1


Published
on

January 1, 2021


Pages

31-40


DOI

Article

An application of two- Stage Stochastic Programming for Water Resources Management Problem in Pentagonal Fuzzy Neutrosophic Environment

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Authors

Hamiden Abd El- Wahed Khalifa* Affiliation:
Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt; Present Address: Mathematics Department, College of Science and Arts, Al-Badaya, Qassim University, Saudi Arabia
, Sultan S Alodhaibi Affiliation:
Mathematics Department, College of Science and Arts, AL-Rass, Qassim University, Al-Rass, Saudi Arabia
and Pavan Kumar Affiliation:
Mathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore, MP, India


Abstract

Water resources management models aims to utilize the availability of water resources so as to meet the demand of many users as possible as can. In this paper, a two - stage stochastic programming for optimizing water resources management problem is introduced in pentagonal fuzzy neutrosophic environment. The problem is considered by incorporating probabilistic seasonal flow and pentagonal fuzzy neutrosophic numbers for all water - allocation target, net benefit, net benefit reduction, and seasonal flow. Based on the score function, the problem under consideration becomes deterministic one and with any linear programming techniques, we obtain the solution. For illustration, an example is given for the sake of the paper.


Keywords

Water resources management, Two - stage stochastic programming, Pentagonal fuzzy neutrosophic numbers, linear programming technique


Citation

Khalifa, H. A. E. W., Alodhaibi, S. S., & Kumar, P. (2021). An application of two- stage stochastic programming for water resources management problem in pentagonal fuzzy neutrosophic environment. Water, Energy, Food and Environment, 2(1), 31–40. https://doi.org/10.18576/wefej/020104

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